By developing a new comparison result and using the monotone iterative technique, we are able to obtain existence of minimal and maximal solutions of periodic boundary value problems for second-order nonlinear impulsive integro-differential equations of mixed type.
New results for the second order impulsive integro-differential equations with nonlinear boundary conditions
โ Scribed by Wei Ding; Qiong Wang
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 265 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1007-5704
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โฆ Synopsis
This paper considers the second order integro-differential equations with impulses. Some sufficient conditions for the existence of solutions are proposed by using monotone iterative method and Schauder fixed point theorem. Moreover, new concepts of lower and upper solutions are introduced for nonlinear boundary value problems.
๐ SIMILAR VOLUMES
This paper is concerned with a class of second order impulsive differential equations with integral boundary conditions. Under different combinations of superlineary and sublinearity of nonlinear term and the impulses, various existence, multiplicity, and nonexistence results for positive solutions
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.