|
|||||
|
|
Extremal Solutions of a Class of Nonlinear Integro-Differential Equations in Banach spaces |
|
| Authors: | Hong-Kun Xu Juan J Nieto |
| Institution: | Department of Mathematics, University of Durban-Westville, Private Bag X54001, Durban 4000, South Africa ; Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15706 Santiago de Compostela, Spain |
| Abstract: | The monotone iterative technique is applied to a class of nonlinear first order integro-differential equations in Banach spaces. First a linear system with a ``small' nonlinear perturbation is solved using Banach's Contraction Principle and the technique of Green's function. Then based upon a comparison result, the existence of minimal and maximal solutions is proved. |
| Keywords: | Periodic boundary value problem first order nonlinear integro-differential equation Green's function monotone iterative technique minimal and maximal solutions normal cone Banach space |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文 | |