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Handbook of Differential Equations : Ordinary Differential Equations.

Author: A Canada; P Drabek; A Fonda
Publisher: Burlington : Elsevier Science, 2006.
Series: Handbook of Differential Equations: Ordinary Differential Equations.
Edition/Format:   Print book : Document   Computer File : English
Summary:
This handbook is the third volume in a series of volumes devoted to self contained and up-to-date surveys in the theory of ordinary differential equations, written by leading researchers in the area. All contributors have made an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wide audience.These ideas faithfully  Read more...
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Genre/Form: Electronic books
Material Type: Document
Document Type: Book, Computer File
All Authors / Contributors: A Canada; P Drabek; A Fonda
ISBN: 1280636165 9781280636165 9786610636167 6610636168 0080463819 9780080463810
OCLC Number: 1005049024
Language Note: English.
Notes: Description based upon print version of record.
Description: 1 online resource (753 p.)
Contents: Front cover; Preface; List of Contributors; Table of contents; Contents of Volume 1; Contents of Volume 2; Chapter 1. Topological Principles for Ordinary Differential Equations; 1. Introduction; 2. Preliminaries; 3. Applied fixed point principles; 4. General methods for solvability of boundary value problems; 5. Existence results; 6. Multiplicity results; 7. Remarks and comments; Acknowledgements; References; Chapter 2. Heteroclinic Orbits for Some Classes of Second and Fourth Order Differential Equations; 1. Introduction; Part 1. Second Order Equations and Systems 2. Second order Hamiltonian systems3. Wave profiles in reaction diffusion equations; Part 2. Fourth Order Equations; 4. The Extended Fisher-Kolmogorov equation: An overview; 5. Sign changing Lagrangians; 6. A Ginzburg-Landau model for ternary mixtures: Connections between nonconsecutive equilibria; 7. Multi-transition connections; References; Chapter 3. A Qualitative Analysis, via Lower and Upper Solutions, of First Order Periodic Evolutionary Equations with Lack of Uniqueness; Preface; 1. First Order Periodic ODEs; 2. Second Order Periodic Parabolic PDEs; References Chapter 4. Bifurcation Theory of Limit Cycles of Planar Systems1. Limit cycle and its perturbations; 2. Focus values and Hopf bifurcation; 3. Perturbations of Hamiltonian systems; References; Chapter 5. Functional Differential Equations with State-Dependent Delays: Theory and Applications; 1. Introduction; 2. Models and applications; 3. A framework for the initial value problem; 4. Center manifolds; 5. Hopf bifurcation; 6. Differentiability of solutions with respect to parameters; 7. Periodic solutions via fixed point theory 8. Attractors, singular perturbation, small delay, generic convergence, stability and oscillation9. Numerical methods; Acknowledgements; References; Chapter 6. Global Solution Branches and Exact Multiplicity of Solutions for Two Point Boundary Value Problems; 1. Introduction; 2. Bifurcation theory approach; 3. A class of symmetric nonlinearities; 4. General nonlinearities; 5. Time maps; 6. Numerical computation of solutions; Acknowledgement; References; Chapter 7. Singularities and Laplacians in Boundary Value Problems for Nonlinear Ordinary Differential Equations; 0. Notation 1. Principles of solvability of singular higher order BVPs2. Existence results for singular two-point higher order BVPs; 3. Principles of solvability of singular second order BVPs with phi-Laplacian; 4. Singular Dirichlet BVPs with phi-Laplacian; 5. Singular periodic BVPs with phi-Laplacian; 6. Other types of two-point second order BVPs; References; Author Index; Subject Index
Series Title: Handbook of Differential Equations: Ordinary Differential Equations.
Other Titles: {Handbook of Differential Equations
Handbook of Differential Equations: Ordinary Differential Equations Vol. 3

Abstract:

This handbook is the third volume in a series of volumes devoted to self contained and up-to-date surveys in the theory of ordinary differential equations, written by leading researchers in the area. All contributors have made an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wide audience.These ideas faithfully reflect the spirit of this multi-volume and hopefully it becomes a very useful tool for research, learning and teaching. This volumes consists of seven chapters covering a variet.

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