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POSITIVE SOLUTION FOR SYSTEMS OF NONLINEAR SINGULAR BOUNDARY VALUE PROBLEMS ON TIME SCALES

Chunmei Miao|Dehong Ji|Junfang Zhao|Weigao Ge|Jiani Zhang
한국수학교육학회|2009.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제16권 제4호|pp. 327-344

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참고문헌

키워드

time scalenonlinear systemfixed point theoremsingular boundary value problem
주제분류수학

초록

In this paper, we deal with the following system of nonlinear singular boundary value problems(BVPs) on time scale T [수식] where [수식] and [수식] may be singular at t = a, y = 0, and g(t, x) may be singular at t = a. The arguments are based upon a fixed-point theorem for mappings that are decreasing with respect to a cone. We also obtain the analogous existence results for the related nonlinear systems [수식], and [수식] satisfying similar boundary conditions.

Abstract

In this paper, we deal with the following system of nonlinear singular boundary value problems(BVPs) on time scale T [수식] where [수식] and [수식] may be singular at t = a, y = 0, and g(t, x) may be singular at t = a. The arguments are based upon a fixed-point theorem for mappings that are decreasing with respect to a cone. We also obtain the analogous existence results for the related nonlinear systems [수식], and [수식] satisfying similar boundary conditions.

참고문헌 (27)

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