Multiple positive solutions of the singular boundary value problem for Sturm-Liouville equations with impulses Online publication date: Wed, 10-Dec-2014
by Xuxin Yang; Weibing Wang; Jianhua Shen
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 4, No. 4, 2012
Abstract: We consider the existence of multiple positive solutions of the Singular Boundary Value Problem for Sturm-Liouville equations with impulses. By using a fixed-point index theorem of cone map, some existence and multiplicity results positive solutions are obtained. Our results improve and generalise those in some well-known results. Some examples are presented to demonstrate the application of our main results.
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