A SECOND-ORDER PERIODIC BOUNDARY VALUE PROBLEM WITH SINGULAR AND DISCONTINUOUS NONLINEARITY

A SECOND-ORDER PERIODIC BOUNDARY VALUE PROBLEM WITH SINGULAR AND DISCONTINUOUS NONLINEARITY

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摘要 In this paper, we study a nonlinear second-order periodic boundary value problem, in which the equation has a singular and discontinuous nonlinearity. By using perturbation techniques and comparison principles, we obtain the existence of solutions for this problem. In this paper, we study a nonlinear second-order periodic boundary value problem, in which the equation has a singular and discontinuous nonlinearity. By using perturbation techniques and comparison principles, we obtain the existence of solutions for this problem.

作者刘辉昭蒋达清

出处《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2000年第1期87-92,共6页 应用数学学报（英文版）

基金 supported by the National Natural Sciences Foundation of China and by Foundation forPh. D Specialists of the Education Commiss

关键词 Singular periodic boundary value problem positive solution UNIQUENESS EXISTENCE perturbation technique comparison Singular periodic boundary value problem, positive solution, uniqueness, existence, perturbation technique, comparison

分类号 O175 [理学—数学]

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Acta Mathematicae Applicatae Sinica

2000年第1期

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A SECOND-ORDER PERIODIC BOUNDARY VALUE PROBLEM WITH SINGULAR AND DISCONTINUOUS NONLINEARITY

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