Handbook of Differential Equations: Ordinary Differential Equations
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Table of contents
- Cover
- Contentsix
- Prefacev
- List of Contributorsvii
- Chapter 1. A survey of recent results for initial and boundary value problems singular in the depend1
- Chapter 2. The lower and upper solutions method for boundary value problems69
- Chapter 3. Half-linear differential equations161
- Chapter 4. Radial solutions of quasilinear elliptic differential equations359
- Chapter 5. Integrability of polynomial differential systems437
- Chapter 6. Global results for the forced pendulum equation533
- Chapter 7. Ważewski method and Conley index591
- Author Index685
- Subject Index693
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.
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.