Numerical-analytic methods in the theory of boundary-value problems
著者
書誌事項
Numerical-analytic methods in the theory of boundary-value problems
World Scientific, c2000
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注記
Includes bibliographical references
内容説明・目次
内容説明
This book contains the main results of the authors' investigations on the development and application of numerical-analytic methods for ordinary nonlinear boundary value problems (BVPs). The methods under consideration provide an opportunity to solve the two important problems of the BVP theory — namely, to establish existence theorems and to build approximation solutions. They can be used to investigate a wide variety of BVPs.The Appendix, written in collaboration with S I Trofimchuk, discusses the connection of the new method with the classical Cesari, Cesari-Hale and Lyapunov-Schmidt methods.
目次
- Numerical-analytic method of successive approximations for two-point boundary-value problems
- modification of the numerical-analytic method for two-point boundary-value problems
- numerical-analyic method for boundary-value problems with parameters in boundary conditions
- collocation method for boundary-value problems with impulses
- the theory of the numerical-analytic method
- achievements and new trends of development.
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