Existence of \(n\) solutions and/or positive solutions to a semipositone elastic beam equation

DOI10.1016/j.na.2005.11.016zbMath1113.34013OpenAlexW2008048782MaRDI QIDQ860726

Qing-liu Yao

Publication date: 9 January 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.11.016

zbMATH Keywords

multiplicitynonlinear boundary value problemfourth-order

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (19)

Positive solutions to a semipositone superlinear elastic beam equation ⋮ Positive solutions for a system of Neumann boundary value problems of second-order difference equations involving sign-changing nonlinearities ⋮ Multiple positive solutions to singular fractional differential equations with integral boundary conditions involving \(p-q\)-order derivatives ⋮ Strong convergence theorems for strict pseudo-contractions in Hilbert spaces ⋮ Existence of positive solutions for \(2n\)th-order singular semipositone differential equations with Sturm-Liouville boundary conditions ⋮ Existence of positive solutions for fourth-order semipositone multi-point boundary value problems with a sign-changing nonlinear term ⋮ Existence of positive solutions to a non-positive elastic beam equation with both ends fixed ⋮ Existence and location of solutions to fourth-order Lidstone coupled systems with dependence on odd derivatives ⋮ Positive solutions of a nonlinear elastic beam equation rigidly fastened on the left and simply supported on the right ⋮ Positive solution to a special singular second-order boundary value problem ⋮ Existence and multiplicity of positive solutions to a singular elastic beam equation rigidly fixed at both ends ⋮ Positive solutions of semipositone higher-order differential equations on time scales ⋮ Existence results for a coupled system of nonlinear fourth-order differential equations ⋮ Modified variational iteration method ⋮ Positive solutions for multiparameter semipositone discrete boundary value problems via variational method ⋮ Positive solutions of singular third-order three-point boundary value problems ⋮ Local existence of multiple positive solutions to a singular cantilever beam equation ⋮ Symmetric positive solutions of boundary value problems with integral boundary conditions ⋮ Some applications of dominated convergence theorems to a higher-order singular boundary value problem

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• Existence for a Fourth-Order Boundary Value Problem under a Two-Parameter Nonresonance Condition

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