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The authors give a systematic introduction to boundary value
problems (BVPs) for ordinary differential equations. The book is a
graduate level text and good to use for individual study. With the
relaxed style of writing, the reader will find it to be an enticing
invitation to join this important area of mathematical research.
Starting with the basics of boundary value problems for ordinary
differential equations, linear equations and the construction of
Green's functions are presented clearly.A discussion of the
important question of the existence of solutions to both linear and
nonlinear problems plays a central role in this volume and this
includes solution matching and the comparison of eigenvalues.The
important and very active research area on existence and
multiplicity of positive solutions is treated in detail. The last
chapter is devoted to nodal solutions for BVPs with separated
boundary conditions as well as for non-local problems.While this
Volume II complements , it can be used as a stand-alone work.
The authors give a treatment of the theory of ordinary differential
equations (ODEs) that is excellent for a first course at the
graduate level as well as for individual study. The reader will
find it to be a captivating introduction with a number of
non-routine exercises dispersed throughout the book.The authors
begin with a study of initial value problems for systems of
differential equations including the Picard and Peano existence
theorems. The continuability of solutions, their continuous
dependence on initial conditions, and their continuous dependence
with respect to parameters are presented in detail. This is
followed by a discussion of the differentiability of solutions with
respect to initial conditions and with respect to parameters.
Comparison results and differential inequalities are included as
well.Linear systems of differential equations are treated in detail
as is appropriate for a study of ODEs at this level. Just the right
amount of basic properties of matrices are introduced to facilitate
the observation of matrix systems and especially those with
constant coefficients. Floquet theory for linear periodic systems
is presented and used to analyze nonhomogeneous linear
systems.Stability theory of first order and vector linear systems
are considered. The relationships between stability of solutions,
uniform stability, asymptotic stability, uniformly asymptotic
stability, and strong stability are examined and illustrated with
examples as is the stability of vector linear systems. The book
concludes with a chapter on perturbed systems of ODEs.
Those Who Are Wise Will Shine, is really the emanation of a life
that lives within the favor of God. When we live within the
confines of the "Joy of the Lord, ..".we shine and others know it
There is no better way to shine for the Lord than to know with
determined faith, who He really is and where He is taking you
Truly, the work He has done for us, the provisions He has made for
our welfare, and our positional standing in Christ are nothing but
astonishing It is a sad fact that so many believers are not made
aware of these awesome truths. However, before we can help teach
them, we must have experienced and zealously lived them ourselves.
To fully understand the implications of these truths we must first
understand the nature of the Father as revealed in Scripture. True
joy in the Lord must always begin with that. Knowing Him, His
purpose, and His promises will allow us to experience the life He
desires for all believers.
This volume seeks to take the readers back to the basics of
Redemption and Sanctification by unveiling the Redemptive Thread
that links the blood lineage of our forefathers to the rise of our
Messiah, Jesus Christ and His second coming. Redemption and
Sanctification define two of the zealous desires of the Lord. The
overall central theme of the Holy Scripture is Redemption. Humanity
is fallen and separated from God. The Lord's gift of Redemption
reconciles the breach. Sanctification is what follows that. It is
an immediate, yet ongoing process of the Lord's work, which will
only be completed when we pass from here to eternity. It means to
be holy and set apart for God's service. In short, it is God's
foundational will. Do not pass that statement by.
Today, Christians in many places are in need of the milk of the
word. They lead a very shallow and powerless Christian life. It is
one of the reasons the church is so lifeless in many places. It is
not enough to know of the elementary principles of Christianity, we
must also know what they mean. This volume seeks to lay the
foundations that have led millions in the past millennia to go
beyond the superficial and stand firmly and boldly on the side of
the Lord A proper understanding of Redemption will only lead you to
rejoice with "joy unspeakable" as you stand in unrestricted service
to God. He has liberated us to fulfill our redemptive purpose. He
truly has set us free
Hebrews 13:9b teaches us, "For it is good that the heart be
established by grace..." The word established comes from which
means to be firm or secure, literally propped up, as in a stick
holding up a tent. If our heart is truly established by the true
teaching of Grace, which comes from the nature of the Father, then
when we fall, we still stand. Rejoice in Him...For Redemption
provides just that
This book is an exploration of the extent to which young people in
the UK are disaffected with traditional politics, and particularly
the role played by televisual representations of the political
process. The authors look at how television represents young people
themselves, and at how young people use new forms of media to
inform themselves politically --
This book is devoted to the study of existence of solutions or
positive solutions for various classes of Riemann-Liouville and
Caputo fractional differential equations, and systems of fractional
differential equations subject to nonlocal boundary conditions. The
monograph draws together many of the authors' results, that have
been obtained and highly cited in the literature in the last four
years.In each chapter, various examples are presented which support
the main results. The methods used in the proof of these theorems
include results from the fixed point theory and fixed point index
theory. This volume can serve as a good resource for mathematical
and scientific researchers, and for graduate students in
mathematics and science interested in the existence of solutions
for fractional differential equations and systems.
Written by Joseph L. Henderson, one of the first generation of
Jungian analysts, and Dyane N. Sherwood, a practising analyst, this
book is a striking and unique contribution to the resurgence of
interest in alchemy for its way of representing the phenomenology
of creative experience. Transformation of the Psyche is organized
around 22 illuminated paintings from the early Renaissance
alchemical manuscript the Splendor Solis, and is further
illustrated by over 50 colour figures. The images of the Splendor
Solis are possibly the most beautiful and evocative alchemical
paintings to be found anywhere, and they are widely known to
students of alchemy. Jung reproduced several Splendor Solis images
in his works, yet prior to this book no one has explored the
symbolism of the paintings as a series in relation to the process
of depth psychological transformation. This book is the first
scholarly study of the paintings in their entirety, and of the
mythological and historical allusions contained within the images.
Transformation of the Psyche does not simply explain or analyze the
pictures, but invites the reader to participate in the creative and
transforming process evoked by these images. Transformation of the
Psyche is a truly unique book that will be of immense value and
interest to analysts and psychotherapists, as well as scholars of
mediaeval and renaissance intellectual history and students of
spiritual disciplines.
The authors give a systematic introduction to boundary value
problems (BVPs) for ordinary differential equations. The book is a
graduate level text and good to use for individual study. With the
relaxed style of writing, the reader will find it to be an enticing
invitation to join this important area of mathematical research.
Starting with the basics of boundary value problems for ordinary
differential equations, linear equations and the construction of
Green's functions are presented clearly.A discussion of the
important question of the existence of solutions to both linear and
nonlinear problems plays a central role in this volume and this
includes solution matching and the comparison of eigenvalues.The
important and very active research area on existence and
multiplicity of positive solutions is treated in detail. The last
chapter is devoted to nodal solutions for BVPs with separated
boundary conditions as well as for non-local problems.While this
Volume II complements , it can be used as a stand-alone work.
The authors give a treatment of the theory of ordinary differential
equations (ODEs) that is excellent for a first course at the
graduate level as well as for individual study. The reader will
find it to be a captivating introduction with a number of
non-routine exercises dispersed throughout the book.The authors
begin with a study of initial value problems for systems of
differential equations including the Picard and Peano existence
theorems. The continuability of solutions, their continuous
dependence on initial conditions, and their continuous dependence
with respect to parameters are presented in detail. This is
followed by a discussion of the differentiability of solutions with
respect to initial conditions and with respect to parameters.
Comparison results and differential inequalities are included as
well.Linear systems of differential equations are treated in detail
as is appropriate for a study of ODEs at this level. Just the right
amount of basic properties of matrices are introduced to facilitate
the observation of matrix systems and especially those with
constant coefficients. Floquet theory for linear periodic systems
is presented and used to analyze nonhomogeneous linear
systems.Stability theory of first order and vector linear systems
are considered. The relationships between stability of solutions,
uniform stability, asymptotic stability, uniformly asymptotic
stability, and strong stability are examined and illustrated with
examples as is the stability of vector linear systems. The book
concludes with a chapter on perturbed systems of ODEs.
This book is devoted to the study of boundary value problems for
nonlinear ordinary differential equations and focuses on questions
related to the study of nonlinear interpolation. In 1967, Andrzej
Lasota and Zdzislaw Opial showed that, under suitable hypotheses,
if solutions of a second-order nonlinear differential equation
passing through two distinct points are unique, when they exist,
then, in fact, a solution passing through two distinct points does
exist. That result, coupled with the pioneering work of Philip
Hartman on what was then called unrestricted n-parameter families,
has stimulated 50 years of development in the study of solutions of
boundary value problems as nonlinear interpolation problems.The
purpose of this book is two-fold. First, the results that have been
generated in the past 50 years are collected for the first time to
produce a comprehensive and coherent treatment of what is now a
well-defined area of study in the qualitative theory of ordinary
differential equations. Second, methods and technical tools are
sufficiently exposed so that the interested reader can contribute
to the study of nonlinear interpolation.
Crime and Employment crystallizes the issue of work as a
rehabilitative instrument in the modern correctional environment.
It explores the effect of employment on crime and recidivism, with
its implications for correctional programs and operations as well
as for ex-offender reintegration into the community. The
professionals contributing to this volume evaluate the
effectiveness of employment in enabling offenders to desist from
crime; the roles of prison versus community correctional services;
the success of work programs for older versus younger offenders;
the effect of industrial employment on reducing prison misconduct
and post-release recidivism; the relevance of prior employment,
substance abuse histories, poverty, and family contexts on
subsequent inmate work programs; and the availability of quality
employment, lawful lifestyles, and community vocational programs in
sustaining economic rehabilitation of offenders. This book will be
of great value to practitioners and policymakers alike in the areas
of corrections, criminal justice, criminology, social problems,
labor policy, social welfare, deviance and social control.
Written by Joseph L. Henderson, one of the first generation of Jungian analysts, and Dyane N. Sherwood, a practising analyst, this book is a striking and unique contribution to the resurgence of interest in alchemy for its way of representing the phenomenology of creative experience.
Transformation of the Psyche is organized around 22 illuminated paintings from the early Renaissance alchemical manuscript the Splendor Solis, and is further illustrated by over 50 colour figures. The images of the Splendor Solis are possibly the most beautiful and evocative alchemical paintings to be found anywhere, and they are widely known to students of alchemy. Jung reproduced several Splendor Solis images in his works, yet prior to this book no one has explored the symbolism of the paintings as a series in relation to the process of depth psychological transformation. This book is the first scholarly study of the paintings in their entirety, and of the mythological and historical allusions contained within the images. Transformation of the Psyche does not simply explain or analyze the pictures, but invites the reader to participate in the creative and transforming process evoked by these images.
Transformation of the Psyche is a truly unique book that will be of immense value and interest to analysts and psychotherapists, as well as scholars of mediaeval and renaissance intellectual history and students of spiritual disciplines.
Related link: Colour Plates from the Book Related link: Free Email Alerting
At the biological crossroads of the Americas, Costa Rica hosts
an astonishing array of plants and animals--over half a million
species Ecotourists, birders, and biologists come from around the
world, drawn by the likelihood of seeing more than three or four
hundred species of birds and other animals during even a short
stay. To help all these visitors, as well as local residents,
identify and enjoy the wildlife of Costa Rica, Carrol Henderson
published Field Guide to the Wildlife of Costa Rica in 2002, and it
instantly became the indispensable guide.
Now Henderson has created a dedicated field guide to more than
one hundred tropical butterflies, moths, and other invertebrates
that travelers are most likely to see while exploring the wild
lands of Costa Rica. He includes fascinating information on their
natural history, ecology, identification, and behavior gleaned from
his forty years of travels and wildlife viewing, as well as details
on where to see these remarkable and beautiful creatures. The
butterflies, moths, and other invertebrates are illustrated by over
180 stunning and colorful photographs--most of which were taken in
the wild by Henderson. A detailed and invaluable appendix that
identifies many of Costa Rica's best wildlife-watching
destinations, lodges, and contact information for trip-planning
purposes completes the volume.
Why are young people alienated from television news? This book
argues that contemporary trends indicating deepening disconnection
from news about public life reflect both problems in the way
television news covers politics - the single biggest item on the
news - and problems with the nature of politics itself under
neo-liberal capitalism.
Originally published in 1956, this classic volume presents the
essence of the Navajo Way, its stories and traditions. The stories
are complemented by Navajo artist Andy Tsihnajinnie's line
drawings, Dr. Joseph Henderson's psychological commentary, and
Linle's first-hand observations of Navajo ceremonial life.
A must-read guide for parents and grandparents who want to
practically and successfully help their teenager navigate the
ever-lengthening stage of adolescence launching, them into society
with confidence, vision, and success. Zombies are not just found in
horror movies, sometimes they're lying on your living room couch.
These are undead adolescents whose psychological and social
development have come to a screeching halt. Torn by their yearning
for freedom and their fear of surviving the outside world, they
have stalled in their maturity, motivation, and purpose in life,
hijacked by a helplessness and fear of responsibility. Parents
often feel ill-equipped to love, support, and guide them-especially
when they may be facing a midlife crisis of their own and battling
some of the same issues in their own lives. Is it really possible
to escape this "undead" state of being? In My Teenage Zombie
board-certified psychiatrist and medical doctor David L. Henderson
explains the parts of a teenage zombie (their brain, heart, and
spirit), how they got into this undead state, and how to resurrect
them back to life. Using real-life examples of families he has
counseled, he describes both their physical and psychological
characteristics and offers practical suggestions on how to deal
with, and in many cases avoid, having an undead adolescent in your
home. The book is divided into three helpful sections: The Rise of
the Undead: Understanding the Nature of a Teenage Zombie The Fear
of the Undead: Facing the Anxiety of Confronting a Teenage Zombie
Resurrecting the Undead: Restoring Your Teenage Zombie to a Life
Worth Living If you are the parent of an undead adolescent, there
is hope for you and your child. Or maybe you have children who are
not yet adolescents. It's never too early to prepare for the
challenges that await you. Either way, stay calm and start
resurrecting zombies!
Between the frequently recounted events of the Gold Rush and the
Great Depression stretches a period of California history that is
equally crucial but less often acknowledged. In his fresh,
synthetic consideration of these in-between years, George L.
Henderson points specifically to the take-off of California's rural
juggernaut between the 1880s and middle 1920s--the upward spiral of
city bids for country dollars and rural bids for urban investments.
These decades were salve for mining's risky finances yet groundwork
for the chaotic 1930s. Moreover, Henderson argues that much like
the two important periods which framed it, this era produced a
cultural and literary apparatus that attempted to grapple with
capital's machinations, if only to legitimate them in the end.
Central to California and the Fictions of Capital is a theory of
how the circulation of capital wove itself into agriculture. The
book asks why it mattered to capital that agriculture was based in
Nature, and then explores the procedures through which images of
Nature became central to capitalism's story of itself. What unique
possibilities did Nature offer to circuits of capital and what was
their role in suturing the urban and rural together? How did boom
and bust intervene and set the pace for regional change? How was
capital linked to the racializing of working bodies? And why was
the capitalist imperative expressed in landscape alterations like
irrigation? Such are the key questions informing this bold,
far-reaching volume.
Beyond political economy, the book also looks to the rural
juggernaut's cultural and literary work, which was stamped by
celebratory, if fretful, ruminations. In all sorts of texts--but
especially in novels by Frank Norris, Mary Austin, Harold Bell
Wright, and many other writers--difficult questions surfaced.
Capital was seen in terms of its spillage into rural frontiers,
just as rural frontiers were seen in terms of movements of capital.
Capital was the new geography of money. But for whom did it work?
Which identities did it favor? In mapping the real and imaginary
realms that capital occupied, Henderson locates the banker-, land
developer-, and engineer-heroes of California fiction as well as
the fictionalized "new woman" of the capitalist, agrarian West. He
unravels the colliding representations of race, gender, and class,
while linking their treatment to the naturalizing rhetoric of
capital's agrarian turn.
In part a tour of California as a virtual laboratory for refining
the circulation of capital, and in part an investigation of how the
state's literati, with rare exception, reconceived economy in the
name of class, gender, and racial privilege, this study will appeal
to all students and scholars of California's--and the American
West's--economic, environmental, and cultural past.
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