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Handbook of Differential Equations: Ordinary Differential Equations
1st Edition - June 3, 2008
Editors: Flaviano Battelli, Michal Feckan
Hardback ISBN:9780444530318
9 7 8 - 0 - 4 4 4 - 5 3 0 3 1 - 8
eBook ISBN:9780080559469
9 7 8 - 0 - 0 8 - 0 5 5 9 4 6 - 9
This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional… Read more
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This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience.
Covers a variety of problems in ordinary differential equations
Pure mathematical and real-world applications
Written for mathematicians and scientists of many related fields
Mathematicians, Researchers, (post-)graduate students
3 Hyperbolic periodic orbits and their stable and unstable manifolds
4 Homoclinic orbits
5 Robustness of transversal periodic-to-periodic homoclinic orbits
6 Finding transversal periodic-to-periodic homoclinic orbits through regular perturbation
7 Finding transversal periodic-to-periodic homoclinic orbits through numerical shadowing
Chapter 5: Successive Approximation Techniques in Non-Linear Boundary Value Problems for Ordinary Differential Equations
Abstract
1 Notation
2 Introduction
3 Periodic successive approximations for non-autonomous systems
4 Successive approximations for autonomous systems
5 Periodic solutions of differential systems with symmetries
6 Two-point boundary value problem with non-linear non-separated conditions
7 A non-linear problem with another type of separated boundary conditions
8 Parametrisation method for three-point boundary value problems
9 Historical remarks
10 Exercises
Chapter 6: Analytic Ordinary Differential Equations and Their Local Classification
Abstract
1 Introduction
2 Linear differential equations
3 Holomorphic vector fields
4 Bogdanov–Takens singularity
Author Index
Subject Index
No. of pages: 400
Language: English
Published: June 3, 2008
Imprint: North Holland
Hardback ISBN: 9780444530318
eBook ISBN: 9780080559469
FB
Flaviano Battelli
Affiliations and expertise
Dipartimento di Scienze Matematiche, Marche's Politecnic University, Ancona, Italy
MF
Michal Feckan
Professor Michal Fečkan works at the Department of Mathematical Analysis and Numerical Mathematics at the Faculty of Mathematics, Physics, and Informatics at Comenius University. He specializes in nonlinear functional analysis, and dynamic systems and their applications. There is much interest in his contribution to the analysis of solutions of equations with fractional derivatives. Fečkan has written several scientific monographs that have been published at top international publishing houses
Affiliations and expertise
Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics, Department of Mathematical Analysis and Numerical Mathematics, Bratislava, Slovak Republic