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POSITIVE SOLUTIONS FOR A SYSTEM OF SINGULAR SECOND ORDER NONLOCAL BOUNDARY VALUE PROBLEMS

Rahmat Ali Khan|Naseer Ahmad Asif|Paul W. Eloe
대한수학회 (The Korean Mathematical Society)|2010.09|대한수학회지 (Journal of the KMS)|제47권 제5호|pp. 985-1000

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참고문헌

키워드

positive solutionssingular system of ordinary differential equationsthree-point nonlocal boundary value problem
주제분류수학

초록

Sufficient conditions for the existence of positive solutions for a coupled system of nonlinear nonlocal boundary value problems of the type [수식],[수식],[수식]are obtained. The nonlinearities f, g : (0, 1) × (0,1)→ (0,∞) are continuous and may be singular at t = 0, t = 1, x = 0, or y = 0. The parameters η,α satisfy η ∈ (0, 1), 0 < α < 1/η. An example is provided to illustrate the results.

Abstract

Sufficient conditions for the existence of positive solutions for a coupled system of nonlinear nonlocal boundary value problems of the type [수식],[수식],[수식]are obtained. The nonlinearities f, g : (0, 1) × (0,1)→ (0,∞) are continuous and may be singular at t = 0, t = 1, x = 0, or y = 0. The parameters η,α satisfy η ∈ (0, 1), 0 < α < 1/η. An example is provided to illustrate the results.

참고문헌 (23)

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