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Theorems of Leray-Schauder Type And Applications (Paperback): Radu Precup Theorems of Leray-Schauder Type And Applications (Paperback)
Radu Precup
R1,857 Discovery Miles 18 570 Ships in 12 - 17 working days

This volume presents a systematic and unified treatment of Leray-Schauder continuation theorems in nonlinear analysis. In particular, fixed point theory is established for many classes of maps, such as contractive, non-expansive, accretive, and compact maps, to name but a few. This book also presents coincidence and multiplicity results. Many applications of current interest in the theory of nonlinear differential equations are presented to complement the theory. The text is essentially self-contained, so it may also be used as an introduction to topological methods in nonlinear analysis. This volume will appeal to graduate students and researchers in mathematical analysis and its applications.

Theorems of Leray-Schauder Type And Applications (Hardcover): Radu Precup Theorems of Leray-Schauder Type And Applications (Hardcover)
Radu Precup
R5,338 Discovery Miles 53 380 Ships in 12 - 17 working days

This volume presents a systematic and unified treatment of Leray-Schauder continuation theorems in nonlinear analysis. In particular, fixed point theory is established for many classes of maps, such as contractive, non-expansive, accretive, and compact maps, to name but a few. This book also presents coincidence and multiplicity results. Many applications of current interest in the theory of nonlinear differential equations are presented to complement the theory. The text is essentially self-contained, so it may also be used as an introduction to topological methods in nonlinear analysis. This volume will appeal to graduate students and researchers in mathematical analysis and its applications.

Ordinary Differential Equations - Example-driven, Including Maple Code (Paperback, Digital original): Radu Precup Ordinary Differential Equations - Example-driven, Including Maple Code (Paperback, Digital original)
Radu Precup
R1,771 R1,362 Discovery Miles 13 620 Save R409 (23%) Ships in 10 - 15 working days

This introductory text combines models from physics and biology with rigorous reasoning in describing the theory of ordinary differential equations along with applications and computer simulations with Maple. Offering a concise course in the theory of ordinary differential equations, it also enables the reader to enter the field of computer simulations. Thus, it is a valuable read for students in mathematics as well as in physics and engineering. It is also addressed to all those interested in mathematical modeling with ordinary differential equations and systems. Contents Part I: Theory Chapter 1 First-Order Differential Equations Chapter 2 Linear Differential Systems Chapter 3 Second-Order Differential Equations Chapter 4 Nonlinear Differential Equations Chapter 5 Stability of Solutions Chapter 6 Differential Systems with Control Parameters Part II: Exercises Seminar 1 Classes of First-Order Differential Equations Seminar 2 Mathematical Modeling with Differential Equations Seminar 3 Linear Differential Systems Seminar 4 Second-Order Differential Equations Seminar 5 Gronwall's Inequality Seminar 6 Method of Successive Approximations Seminar 7 Stability of Solutions Part III: Maple Code Lab 1 Introduction to Maple Lab 2 Differential Equations with Maple Lab 3 Linear Differential Systems Lab 4 Second-Order Differential Equations Lab 5 Nonlinear Differential Systems Lab 6 Numerical Computation of Solutions Lab 7 Writing Custom Maple Programs Lab 8 Differential Systems with Control Parameters

Nonlinear Functional Analysis and Its Applications (Hardcover): Radu Precup Nonlinear Functional Analysis and Its Applications (Hardcover)
Radu Precup
R1,216 R1,019 Discovery Miles 10 190 Save R197 (16%) Ships in 10 - 15 working days
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