Weak singularities and existence of solutions to \((k,n - k)\) conjugate boundary value problems

DOI10.1016/J.NONRWA.2008.05.013zbMath1177.34029OpenAlexW2002558685MaRDI QIDQ1021901

Li Zu, Haiyin Gao, Donal O'Regan, Daqing Jiang, Yongjie Gai

Publication date: 9 June 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.05.013

zbMATH Keywords

positive solutionsSchauder's fixed point theoremweak singularity\((k, n - k)\) conjugate boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (1)

Iterative solutions of singular (\(k\),\(n-k\)) conjugate boundary value problems with dependence on the derivatives

Cites Work

• Singular nonlinear \((k,n-k)\) conjugate boundary value problems
• Multiple positive solutions to singular boundary value problems for superlinear higher-order ODEs
• Discrete semipositone higher-order equations
• Existence and uniqueness of solutions for singular \((k,n-k)\) conjugate boundary value problems
• Existence of solutions to singular integral equations
• Multiplicity results for singular conjugate, focal, and \((N,P)\) problems
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