Multiplicity results of positive solutions for fourth-order nonlinear differential equation with singularity

DOI10.1002/mma.3481zbMath1339.34039OpenAlexW1988495189MaRDI QIDQ2795292

Jingli Ren, Zhibo Cheng

Publication date: 18 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3481

zbMATH Keywords

Schauder fixed-point theoremGreen's functionsingularityfourth-order differential equationLeare-Schauder alternative principlepositive and periodic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) 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 (8)

Existence of positive periodic solutions for Liénard equations with an indefinite singularity of attractive type ⋮ Existence of positive periodic solutions for super-linear neutral Liénard equation with a singularity of attractive type ⋮ Positive periodic solution for high-order \(p\)-Laplacian neutral differential equation with singularity ⋮ Multiplicity of positive periodic solutions to third-order variable coefficients singular dynamical systems ⋮ A new result on the existence of periodic solutions for Rayleigh equation with a singularity ⋮ Periodic solutions for Liénard equation with an indefinite singularity ⋮ Studies on a 2\(n\)th-order \(p\)-Laplacian differential equation with singularity ⋮ Existence and uniqueness of homoclinic solution for a Rayleigh equation with a singularity

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