Handbook of Differential Equations: Ordinary Differential Equations
- 1st Edition, Volume 1 - August 1, 2004
- Latest edition
- Authors: A. Canada, P. Drabek, A. Fonda
- Language: English
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 re… Read more
Description
Description
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.
Readership
Readership
Mathematicians, researchers, (post-) graduate students
Table of contents
Table of contents
1. A Survey of Recent Results for Initial and Boundary Value Problems Singular in the Dependent Variable (R. Agarwal, D. O'Regan). 2. The Lower and Upper Solutions Method for Boundary Value Problems (C. De Coster, P. Habets). 3. Half-Linear Differential Equations (O. Doysl'y). 4. Radial Solutions of Quasilinear Elliptic Differential Equations (J. Jacobsen and K. Schmitt). 5. Integrability of Polynomial Differential Systems (J. Llibre). 6. Global Results for the Forced Pendulum Equation (J. Mawhin). 7. Wazewski Method and Conley Index (R. Srzednicki).
Product details
Product details
- Edition: 1
- Latest edition
- Volume: 1
- Published: September 6, 2004
- Language: English
About the authors
About the authors
AC
A. Canada
Affiliations and expertise
University of Granada, Granada, Spain.PD
P. Drabek
Affiliations and expertise
University of West Bohemia, Pilsen, Czech Republic.AF
A. Fonda
Affiliations and expertise
University of Trieste, Trieste, Italy.View book on ScienceDirect
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