Approximating monotone positive solutions of a nonlinear fourth-order boundary value problem via sum operator method

DOI10.1007/s00009-017-0844-7zbMath1369.34042OpenAlexW2591704995MaRDI QIDQ2363017

Chunrong Jiang, Shunyong Li, Cheng-Bo Zhai

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/s00009-017-0844-7

zbMATH Keywords

Green functionsexistence and uniquenessmonotone positive solutionfourth-order boundary value problemsliding clamped beam

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) 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)

Local existence and uniqueness of increasing positive solutions for non-singular and singular beam equation with a parameter ⋮ Existence and uniqueness of monotone positive solutions for fractional higher-order BVPs ⋮ Positive solutions for a system of fourth-order differential equations with integral boundary conditions and two parameters ⋮ Monotone positive solution of fourth order boundary value problem with mixed integral and multi-point boundary conditions ⋮ Nonlinear sum operator equations and applications to elastic beam equation and fractional differential equation

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