Upper and lower solution method for \(n\)th-order BVPs on an infinite interval

DOI10.1186/1687-2770-2014-100zbMath1308.34035OpenAlexW2122475510WikidataQ59401157 ScholiaQ59401157MaRDI QIDQ476994

Ravi P. Agarwal, Hairong Lian, Junfang Zhao

Publication date: 2 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-100

zbMATH Keywords

boundary value problemhalf-linelower solutionupper solutionhigher order

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Sturm-Liouville theory (34B24) Applications of operator theory to differential and integral equations (47N20) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (8)

Two-point boundary value problems for first order causal difference equations ⋮ Existence of solutions to fourth-order differential equations with deviating arguments ⋮ Existence and nonexistence of positive solutions for fractional integral boundary value problem with two disturbance parameters ⋮ Positive solutions of higher-order Sturm-Liouville boundary value problems with derivative-dependent nonlinear terms ⋮ Eigenvalues of a general class of boundary value problem with derivative-dependent nonlinearity ⋮ Multiplicity of positive solutions of superlinear semi-positone singular Neumann problems ⋮ Boundary stabilization of non-diagonal systems by proportional feedback forms ⋮ Eigenvalues of higher order Sturm-Liouville boundary value problems with derivatives in nonlinear terms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of unbounded solutions for a third-order boundary value problem on infinite intervals
• Positive solutions of some nonlocal fourth-order boundary value problem
• Unbounded upper and lower solutions method for Sturm-Liouville boundary value problem on infinite intervals
• Multipoint focal boundary value problems on infinite intervals
• Nonlinear boundary value problems on semi-infinite intervals
• Upper and lower solution methods for fully nonlinear boundary value problems
• Order continuous of monotone set function and convergence of measurable functions sequence
• 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
• Existence result for some third order separated boundary value problems.
• Singular boundary value problems on a half-line
• Higher order \(\varphi\)-Laplacian BVP with generalized Sturm-Liouville boundary conditions
• Unbounded solutions for singular boundary value problems on the semi-infinite interval: upper and lower solutions and multiplicity
• The boundary value problem on an infinite interval. Existence, uniqueness, and asymptotic behavior of bounded solutions to a class of non-linear second order differential equations
• Existence and uniqueness for nonlinear boundary value problems on infinite intervals
• Multiple solutions to a three-point boundary value problem for higher-order ordinary differential equations
• On the lower and upper solution method for higher order functional boundary value problems
• Infinite Interval Problems Modeling Phenomena Which Arise in the Theory of Plasma and Electrical Potential Theory
• A boundary value problem on the half-line for higher-order nonlinear differential equations
• Non‐linear boundary value problems on the semi‐infinite interval: an upper and lower solution approach

This page was built for publication: Upper and lower solution method for \(n\)th-order BVPs on an infinite interval