The unique solution of boundary value problems for nonlinear second-order integral–differential equations of mixed type in Banach spaces
| Autor: | Lishan Liu, Yonghong Wu, Zenggui Wang |
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| Rok vydání: | 2007 |
| Předmět: |
Integro-differential equation
Unique solution Mathematical analysis Eberlein–Šmulian theorem Two-point BVP Banach manifold Mixed boundary condition Ordered Banach space Computational Mathematics Nonlinear system Computational Theory and Mathematics Modelling and Simulation Modeling and Simulation Free boundary problem Initial value problem Boundary value problem C0-semigroup Mathematics |
| Zdroj: | Computers & Mathematics with Applications. 54:1293-1301 |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/j.camwa.2007.04.018 |
| Popis: | In this paper, a class of two-point boundary value problems for nonlinear second-order integral–differential equations of mixed type is investigated in a real Banach space without making any compactness type assumption; we establish conditions for the existence of a unique solution of the equation and develop an iterative formula for approximation of the solution and a formula for estimating the error of the iterative solution. The results we obtained generalize and improve various recent results. |
| Databáze: | OpenAIRE |
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