Multiple positive solutions of a fourth-order boundary value problem

DOI10.1007/s00009-017-0843-8zbMath1372.34051OpenAlexW2594785880MaRDI QIDQ2363019

Nickolai Kosmatov, Aaron Benham

Publication date: 12 July 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-017-0843-8

zbMATH Keywords

positive solutionsGreen functionsconessemipositonefourth-order boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Green's functions for ordinary differential equations (34B27) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (5)

Existence of solutions for a three-point Hadamard fractional resonant boundary value problem ⋮ Multiple positive solutions for nonlinear mixed fractional differential equation with \(p\)-Laplacian operator ⋮ A note on the eigenvalue criteria for positive solutions of a cantilever beam equation with free end ⋮ Positive solutions for a system of fourth-order differential equations with integral boundary conditions and two parameters ⋮ Solvability for fully cantilever beam equations with superlinear nonlinearities

Cites Work

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• Positive solutions of a singular semipositone boundary value problems for fourth-order coupled difference equations
• Existence of positive solutions for fourth-order semipositone multi-point boundary value problems with a sign-changing nonlinear term
• Positive solutions for systems of a nonlinear fourth-order singular semipositone boundary value problems
• Multiple positive solutions for a semipositone fourth-order boundary value problem
• Positive solutions for systems of a nonlinear fourth-order singular semipositone Sturm-Liouville boundary value problem
• Positive solutions for a fourth order differential inclusion with boundary values

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