Limit properties of solutions of singular second-order differential equations.
Rachůnková, Irena, Staněk, Svatoslav, Weinmüller, Ewa, Zenz, Michael (2009)
Boundary Value Problems [electronic only]
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Rachůnková, Irena, Staněk, Svatoslav, Weinmüller, Ewa, Zenz, Michael (2009)
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International Journal of Mathematics and Mathematical Sciences
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Liu, Xiping, Xiao, Yu, Chen, Jianming (2010)
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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.
Wong, James S.W. (2010)
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Infante, Gennaro, Webb, J.R.L. (2003)
Abstract and Applied Analysis
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Zhou, Wen-Shu (2007)
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Liu, Xiu-jun, Jiang, Wei-hua, Guo, Yan-ping (2004)
Applied Mathematics E-Notes [electronic only]
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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...