| A SECOND-ORDER PERIODIC BOUNDARY VALUE PROBLEM WITH SINGULAR AND DISCONTINUOUS NONLINEARITY |
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| 作者姓名： | 刘辉昭 蒋达清 |
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| 作者单位： | LIU HUIZHAO (Department of Applied Mathematics，Hebei University of Technology，Tianjin 300130，China) JIANG DAQING (Department of Mathematics，Northeast Normal University，Changchun 130024，China) |
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| 基金项目： | supported by the National Natural Sciences Foundation of China and by Foundation for
Ph. D Specialists of the Education Commiss |
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| 摘 要： | 1. Introduction and Main ResultsIn recent years, singular nonlinear two-point boundary value problems have been studied. For details, see, for instance, 1--14] and references therein. However, the periodicboundary problems with singlllar and discontinuous nonlinearity are quite rarely studied.Motivated by 12,14], we study in this paper a periodic boundary value problem with singularand discontinuous nonlinearity of the form{;<;';<2;::<'> =:<u:>::<,.>,, 5 t 5 27, (1 1)where p is a positi…
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| 收稿时间： | 9 March 1997 |
A second-order periodic boundary value problem with singular and discontinuous nonlinearity |
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| Liu Huizhao,Jiang Daqing.A SECOND-ORDER PERIODIC BOUNDARY VALUE PROBLEM WITH SINGULAR AND DISCONTINUOUS NONLINEARITY[J].Acta Mathematicae Applicatae Sinica,2000,16(1):87-92. |
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| Authors: | Liu Huizhao Jiang Daqing |
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| Institution: | (1) Department of Applied Mathematics, Hebei University of Technology, 300130 Tianjin, China;(2) Department of Mathematics, Northeast Normal University, 130024 Changchun, China |
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| Abstract: | 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. |
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| Keywords: | Singular periodic boundary value problem positive solution uniqueness existence perturbation technique comparison |
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