Differential inequalities and applications to nonlinear singular perturbation problems

DOI10.1016/0022-0396(76)90100-5zbMath0285.34038OpenAlexW2019712100MaRDI QIDQ1844987

F. A. Howes

Publication date: 1976

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182393

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Differential inequalities involving functions of a single real variable (34A40) Singular perturbations for ordinary differential equations (34E15)

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Existence of solutions of boundary value problem for 3rd order nonlinear system ⋮ Fourth-order problems with fully nonlinear boundary conditions ⋮ Singular perturbations for nonlinear Robin problems ⋮ Upper and lower solutions for second-order boundary value problems with nonlinear boundary conditions ⋮ The switching-method in multiple shooting ⋮ A Uniformly‐Valid Asymptotic Solution to a Matrix System of Ordinary Differential Equations and a Proof of its Validity ⋮ Differential inequalities method to \(n\)th-order boundary value problems ⋮ A computational method for solving third-order singularly perturbed boundary-value problems ⋮ Bounding functions methods for fully nonlinear boundary value problems ⋮ Singularly Perturbed Semilinear Systems ⋮ An approximation method for a class of singularly perturbed second-order boundary value problems ⋮ Numerical treatment for singularly perturbed nonlinear differential difference equations with negative shift ⋮ A Numerical Technique for Solving Nonlinear Singularly Perturbed Delay Differential Equations ⋮ Some singularly perturbated superquadratic boundary value problems whose solutions exhibit boundary and shock layer behavior ⋮ Existence and location results for fully nonlinear boundary value problem of \(n\)th-order nonlinear system

Cites Work

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• An introduction to nonlinear boundary value problems
• Subfunction and second-order ordinary differential inequalities
• Periodic solutions of systems of second-order differential equations
• Applications of the Maximum Principle to Singular Perturbation Problems

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