Nonlinear boundary value problems for first order impulsive integro-differential equations

Xinzhi Liu

International Journal of Stochastic Analysis, 1989, vol. 2, 1-14

Abstract:

In this paper, we investigate a class of first order impulsive integro-differential equations subject to certain nonlinear boundary conditions and prove, with the help of upper and lower solutions, that the problem has a solution lying between the upper and lower solutions. We also develop monotone iterative technique and show the existence of multiple solutions of a class of periodic boundary value problems.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:172482

DOI: 10.1155/S1048953389000146

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