Existence of at least three positive solutions for multi-point boundary value problem on infinite intervals with \(p\)-Laplacian operator

DOI10.1007/s12190-008-0113-9zbMath1155.34307OpenAlexW2134189227MaRDI QIDQ949368

Weigao Ge, Xiangkui Zhao

Publication date: 21 October 2008

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-008-0113-9

zbMATH Keywords

positive solution\(p\)-Laplacian operatorfixed point theoremmulti-point boundary value problemhalf line

Mathematics Subject Classification ID

Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (8)

Positive solutions of impulsive time-scale boundary value problems with p-Laplacian on the half-line ⋮ Unnamed Item ⋮ Existence and uniqueness of solution for Sturm-Liouville fractional differential equation with multi-point boundary condition via Caputo derivative ⋮ Unnamed Item ⋮ Unbounded solutions for a fractional boundary value problems on the infinite interval ⋮ Existence and iteration of positive solutions for a three-point boundary value problem of second order integro-differential equation with \(p\)-Laplace operator ⋮ New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative ⋮ Iterative solutions for the differential equation with \(p\)-Laplacian on infinite interval

Cites Work

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• 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
• Multiple symmetric positive solutions of fourth-order two point boundary value problem
• Positive solutions for multipoint boundary value problems with a one-dimensional \(p\)-Laplacian
• A generalized multi-point boundary value problem for second order ordinary differential equations
• Solvability of \(m\)-point boundary value problems with nonlinear growth
• Three positive fixed points of nonlinear operators on ordered Banach spaces
• Solutions to \(m\)-point boundary value problems of third order ordinary differential equations at resonance
• Solutions of Sturm-Liouville boundary value problems for higher-order differential equations
• Existence of three positive solutions for \(m\)-point boundary-value problems with one-dimensional \(p\)-Laplacian

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