|
Showing 1 - 3 of
3 matches in All Departments
This is an indispensable reference for those mathematicians that
conduct research activity in applications of fixed-point theory to
boundary value problems for nonlinear functional equations.
Coverage includes second-order finite difference equations and
systems of difference equations subject to multi-point boundary
conditions, various methods to study the existence of positive
solutions for difference equations, and Green functions.
Boundary Value Problems for Systems of Differential, Difference and
Fractional Equations: Positive Solutions discusses the concept of a
differential equation that brings together a set of additional
constraints called the boundary conditions. As boundary value
problems arise in several branches of math given the fact that any
physical differential equation will have them, this book will
provide a timely presentation on the topic. Problems involving the
wave equation, such as the determination of normal modes, are often
stated as boundary value problems. To be useful in applications, a
boundary value problem should be well posed. This means that given
the input to the problem there exists a unique solution, which
depends continuously on the input. Much theoretical work in the
field of partial differential equations is devoted to proving that
boundary value problems arising from scientific and engineering
applications are in fact well-posed.
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.
|
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.