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Multiple nonnegative solutions for second order impulsive differential equations. (English) Zbl 1047.34008

Using a combination of the Leray-Schauder alternative and Krasnosel’skij’s fixed-point theorem in cones, the authors study the existence of single and multiple solutions to a second-order impulsive equation with fixed moments. One theorem deals with the existence only, while the second and third theorem are concerned with the existence of two nonnegative solutions and their localization.

MSC:

34A37 Ordinary differential equations with impulses
34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
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References:

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