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Multiplicity of positive solutions to second order Neumann boundary value problems with impulse actions. (English) Zbl 1169.34023

The authors present sufficient conditions for the existence of single and multiple positive solutions for a second order Neumann boundary value problem with impulses. The proof of the main results is based on a nonlinear alternative principle of Leray-Schauder type and on a fixed point theorem in cones. The authors consider the case of attractive-superlinear nonlinearities.

MSC:

34B37 Boundary value problems with impulses for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
47N20 Applications of operator theory to differential and integral equations
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