文章基本信息

标题：Positive Solution to a Singular -Laplacian BVP with Sign-Changing Nonlinearity Involving Derivative on Time Scales
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作者：You-Hui Su ; Subei Li ; Can-Yun Huang 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2009
卷号：2009
期号：1
页码：623932
DOI：10.1155/2009/623932
语种：English
出版社：Hindawi Publishing Corporation
摘要：Let be a time scale such that . By using a monotone iterative method, we present some existence criteria for positive solution of a multiple point general Dirichlet-Robin BVP on time scales with the singular sign-changing nonlinearity. These results are even new for the corresponding differential and difference equation as well as in general time scales setting. As an application, an example is given to illustrate the results. The interesting point here is that the sign-changing nonlinear term is involved with the first-order derivative explicitly, and the singularity may occur at , , and .
关键词：Differential Equation ; Partial Differential Equation ; Ordinary Differential Equation ; Functional Analysis ; Functional Equation