POSITIVE SOLUTIONS FOR A SINGULAR SEMIPOSITONE DYNAMIC SYSTEM WITH M-POINT BOUNDARY CONDITIONS ON TIME SCALES

Articles > Article ยท 2016

Authors: Arzu Denk OGUZ, Fatma Serap TOPAL

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, Journal Indexed in SCI Expanded, International, 2016

Summary

In this paper, under suitable conditions by applying fixed point theorems in cones, we give the existence of two positive solutions for the system of second order singular semipositone m-point boundary value problem on time scales. We emphasize that the nonlinear term may take a negative value and be singular. As an application, we also give an example to illustrate our results.

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