Existence of solutions of boundary value problems with integral boundary conditions for second-order impulsive integro-differential equations in Banach spaces
โ Scribed by Xuemei Zhang; Meiqiang Feng; Weigao Ge
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 709 KB
- Volume
- 233
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
This paper investigates the existence of solutions for a class of second-order boundaryvalue problems with integral boundary conditions of nonlinear impulsive integrodifferential equations in Banach spaces. The arguments are based upon the fixed point theorem of strict set contraction operators. Meanwhile, an example is worked out to demonstrate the main results.
๐ SIMILAR VOLUMES
This paper investigates periodic boundary value problems for a class of secondorder nonlinear impulsive integro-differential equations of mixed type in a Banach space. By establishing a comparison result, criteria on the existence of maximal and minimal solutions are obtained.
Using the cone theory and lower and upper solutions, we investigate the existence of extremal solutions of nonlinear boundary value problem for second order impulsive integro-differential equations, which involve the derivative x and deviating argument x(ฮฒ(t)) in Banach space.
In this paper, the fixed point theory is used to investigate the existence and uniqueness of solutions of initial value problems for nonlinear second order impulsive integro-differential equations in Banach spaces.