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


OGUZ A. D. , TOPAL F. S.

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2016 (ESCI İndekslerine Giren Dergi) identifier

  • Basım Tarihi: 2016
  • Dergi Adı: JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS

Özet

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.