Solvability for a third order discontinuous fully equation with nonlinear functional boundary conditions

DOI10.1016/j.jmaa.2005.09.065zbMath1104.34008OpenAlexW2042306802MaRDI QIDQ2506417

Feliz Manuel Minhós, A. I. Santos, Alberto Cabada

Publication date: 28 September 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10174/2715

zbMATH Keywords

lower and upper solutionsdegree theoryNagumo-type conditionthird-order functional problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Discontinuous ordinary differential equations (34A36) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (14)

Third-order linear differential equation with three additional conditions and formula for Green's function ⋮ Extremal solutions to fourth order discontinuous functional boundary value problems ⋮ Extremal solutions of nonlinear functional discontinuous fractional equations ⋮ Fully nonlinear fourth-order equations with functional boundary conditions ⋮ Several existence theorems of monotone positive solutions for third-order multipoint boundary value problems ⋮ Higher order boundary value problems with \(\phi\)-Laplacian and functional boundary conditions ⋮ Existence, non-existence and multiplicity results for a third order eigenvalue three-point boundary value problem ⋮ Higher order functional boundary value problems without monotone assumptions ⋮ Higher order multi-point boundary value problems ⋮ A note on a class of problems for a higher-order fully nonlinear equation under one-sided Nagumo-type condition ⋮ THIRD-ORDER GENERALIZED DISCONTINUOUS IMPULSIVE PROBLEMS ON THE HALF-LINE ⋮ Existence and iteration of monotone positive solutions for a third-order two-point boundary value problem ⋮ Fourth order impulsive periodic boundary value problems ⋮ Solvability of higher-order BVPs in the half-line with unbounded nonlinearities

Cites Work

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• Existence and uniqueness theorems for the bending of an elastic beam equation
• Existence results for nonlinear problems with separated boundary conditions
• Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions
• Examples of the nonexistence of a solution in the presence of upper and lower solutions
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