Existence of three positive solutions for \(m\)-point boundary value problems on infinite intervals

DOI10.1016/J.NA.2008.10.126zbMath1172.34310OpenAlexW1516758018MaRDI QIDQ1026024

Jufang Wang, Yanping Guo, Changlong Yu

Publication date: 24 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.126

zbMATH Keywords

conepositive solutionhalf-lineAvery-Peterson fixed point theorem

Mathematics Subject Classification ID

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) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (12)

Solvability for nonlocal boundary value problems with generalized \(p\)-Laplacian on an unbounded domain ⋮ Positive solutions for nonlinear double impulsive differential equations with \(p\)-Laplacian on infinite intervals ⋮ Positive solutions of IBVPs for \(q\)-difference equations with \(p\)-Laplacian on infinite interval ⋮ Unbounded solutions of BVP for second order ODE with \(p\)-Laplacian on the half line. ⋮ Positive solutions of impulsive time-scale boundary value problems with p-Laplacian on the half-line ⋮ Triple positive solutions of a nonlocal boundary value problem for singular differential equations with \(p\)-Laplacian ⋮ Nonnegative solutions to nonlocal boundary value problems for systems of second-order differential equations dependent on the first-order derivatives ⋮ Positive solutions to second-order differential equations with dependence on the first-order derivative and nonlocal boundary conditions ⋮ Existence and uniqueness of solution for Sturm-Liouville fractional differential equation with multi-point boundary condition via Caputo derivative ⋮ Solvability of second-order m-point difference equation boundary value problems on infinite intervals ⋮ Multiple solutions for a BVP on \((0,+\infty)\) via Morse theory and \(H^1_{0,p}(\mathbb{R}^+)\) versus \(C^1_{p}(\mathbb{R}^+)\) local minimizers ⋮ UPPER AND LOWER SOLUTIONS FOR Φ-LAPLACIAN THIRD-ORDER BVPs ON THE HALF LINE

Cites Work

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• Nonlinear Urysohn discrete equations on the infinite interval: a fixed-point approach
• Three positive fixed points of nonlinear operators on ordered Banach spaces
• A uniqueness and existence theorem for a singular third-order boundary value problem on \([0,\infty)\)
• Existence of positive solutions for second-order boundary value problems on infinity intervals
• Solvability for second-order three-point boundary value problems on a half-line
• Triple positive solutions for boundary value problems on infinite intervals
• Existence and uniqueness for nonlinear boundary value problems on infinite intervals
• Non‐linear boundary value problems on the semi‐infinite interval: an upper and lower solution approach
• On positive solutions of boundary value problems on the half-line

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