Multiple positive solutions for one dimensional third order \(p\)-Laplacian equations with integral boundary conditions

DOI10.1007/s10255-022-1065-9zbMath1496.34051OpenAlexW4210347932MaRDI QIDQ2115222

You-yuan Yang, Q. R. Wang

Publication date: 15 March 2022

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-022-1065-9

zbMATH Keywords

positive solutionsintegral boundary conditionskernel functionsAvery-Peterson fixed point theoremone-dimensional third-order \(p\)-Laplacian equations

Mathematics Subject Classification ID

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) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (1)

Existence and multiplicity of positive solutions for one-dimensional \(p\)-Laplacian problem with sign-changing weight

Cites Work

• Existence and iteration of monotone positive solutions for multipoint boundary value problem with \(p\)-Laplacian operator
• Existence of multiple positive solutions for one-dimensional \(p\)-Laplacian
• Positive solutions for third-order Sturm-Liouville boundary value problems with \(p\)-Laplacian
• Upper and lower solutions method and a second order three-point singular boundary value problem
• Three positive fixed points of nonlinear operators on ordered Banach spaces
• Positive solutions for one-dimensional third-order \(p\)-Laplacian boundary value problems
• Positive solutions of three-point boundary value problems for the one-dimensional \(p\)-Laplacian with infinitely many singularities.
• Multiple positive solutions for \(p\)-Laplacian equations with integral boundary conditions
• Existence and uniqueness of solutions of second-order three-point boundary value problems with upper and lower solutions in the reversed order
• Time-mappings and multiplicity of solutions for the one-dimensional p-Laplacian
• On the equation of turbulent filtration in one- dimensional porous media
• Second-order differential operators with integral boundary conditions and generation of analytic semigroups
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