Non‐linear boundary value problems on the semi‐infinite interval: an upper and lower solution approach

DOI10.1112/S0025579300016120zbMath1049.34033OpenAlexW2148279150MaRDI QIDQ4817672

Donal O'Regan, Ravi P. Agarwal

Publication date: 15 September 2004

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300016120

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Applications of boundary value problems involving ordinary differential equations (34B60) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

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Existence of solutions to fourth-order differential equations with deviating arguments ⋮ Positive solutions for nonlinear double impulsive differential equations with \(p\)-Laplacian on infinite intervals ⋮ Multiple unbounded solutions for a boundary value problem on infinite intervals ⋮ Existence of solutions for \(\mathrm{m}\)-point boundary value problems on an infinite time scale ⋮ A method for generating approximate similarity solutions of nonlinear partial differential equations ⋮ Upper and lower solution method for \(n\)th-order BVPs on an infinite interval ⋮ Solvability of second-order m-point difference equation boundary value problems on infinite intervals ⋮ Existence of unbounded solutions for a third-order boundary value problem on infinite intervals ⋮ Unbounded solutions for three-point boundary value problems with nonlinear boundary conditions on \([0,+\infty )\) ⋮ Unbounded upper and lower solutions method for Sturm-Liouville boundary value problem on infinite intervals ⋮ THIRD-ORDER GENERALIZED DISCONTINUOUS IMPULSIVE PROBLEMS ON THE HALF-LINE ⋮ Existence of three positive solutions for \(m\)-point boundary value problems on infinite intervals ⋮ On weakly nonlinear boundary value problems on infinite intervals ⋮ Solvability of higher-order BVPs in the half-line with unbounded nonlinearities

Cites Work

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• Computational methods in engineering boundary value problems
• A class of nonlinear boundary value problems on the half line
• Boundary value problems on the half line in the theory of colloids
• Infinite interval boundary value problems for \(y = f(x,y)\)
• Subfunction and second-order ordinary differential inequalities
• Existence and uniqueness for nonlinear boundary value problems on infinite intervals
• Infinite Interval Problems Modeling Phenomena Which Arise in the Theory of Plasma and Electrical Potential Theory

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