Displaying similar documents to “Existence results of three-point boundary value problems for second-order ordinary differential equations.”

Positive solutions for third order multi-point singular boundary value problems

John R. Graef, Lingju Kong, Bo Yang (2010)

Czechoslovak Mathematical Journal

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We study a third order singular boundary value problem with multi-point boundary conditions. Sufficient conditions are obtained for the existence of positive solutions of the problem. Recent results in the literature are significantly extended and improved. Our analysis is mainly based on a nonlinear alternative of Leray-Schauder.

Systems of differential inclusions in the absence of maximum principles and growth conditions

Christopher C. Tisdell (2006)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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This article investigates the existence of solutions to second-order boundary value problems (BVPs) for systems of ordinary differential inclusions. The boundary conditions may involve two or more points. Some new inequalities are presented that guarantee a priori bounds on solutions to the differential inclusion under consideration. These a priori bound results are then applied, in conjunction with appropriate topological methods, to prove some new existence theorems for solutions to...