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Zbl 1169.34023
Li, Qiuyue; Cong, Fuzhong; Jiang, Daqing
Multiplicity of positive solutions to second order Neumann boundary value problems with impulse actions. (English)
[J] Appl. Math. Comput. 206, No. 2, 810-817 (2008). ISSN 0096-3003

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.
[Daniel Franco Leis (Madrid)]

MSC 2000:: *34B37 Boundary value problems with impulses
34B15 Nonlinear boundary value problems of ODE
34B18 Positive solutions of nonlinear boundary value problems
47N20 Appl. of operator theory to differential and integral equations

Keywords: singular problem; positive solutions; fixed point theorems in cones; Neumann boundary conditions; impulses

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