Handbook of Differential Equations: Ordinary Differential Equations, Volume 1

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Elsevier, Sep 9, 2004 - Mathematics - 708 pages
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The book contains seven survey papers about ordinary differential equations.

The common feature of all papers consists in the fact that nonlinear equations are focused on. This reflects the situation in modern mathematical modelling - nonlinear mathematical models are more realistic and describe the real world problems more accurately. The implications are that new methods and approaches have to be looked for, developed and adopted in order to understand and solve nonlinear ordinary differential equations.

The purpose of this volume is to inform the mathematical community and also other scientists interested in and using the mathematical apparatus of ordinary differential equations, about some of these methods and possible applications.

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Chapter 2 The lower and upper solutions method for boundary value problems
Chapter 3 Halflinear differential equations
Chapter 4 Radial solutions of quasilinear elliptic differential equations
Chapter 5 Integrability of polynomial differential systems
Chapter 6 Global results for the forced pendulum equation
Chapter 7 Ważewski method and Conley index
Author Index
Subject Index

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About the author (2004)

Pavel Drabek and Gabriela Holubova, University of West Bohemia, Czech Republic.

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