A Model Nonlinear Problem Having a Continuous Locus of Singular Points

DOI10.1002/sapm1978583249zbMath0378.34048OpenAlexW210300675MaRDI QIDQ4157460

Seymour V. Parter, F. A. Howes

Publication date: 1978

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://digital.library.wisc.edu/1793/58046

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Singular perturbations for ordinary differential equations (34E15)

Related Items (7)

Unnamed Item ⋮ A complete analysis of a model nonlinear singular perturbation problem having a continuous locus of singular points ⋮ The Solutions of a Model Nonlinear Singular Perturbation Problem Having A Continuous Locus of Singular Points ⋮ Some singularly perturbated superquadratic boundary value problems whose solutions exhibit boundary and shock layer behavior ⋮ Exchange lemmas for singular perturbation problems with certain turning points ⋮ A nonlinear problem having a continuous locus of singular points and no multiple solutions ⋮ Matrix displacement mappings in the numerical solution of functional and nonlinear differential equations with the tau method

Cites Work

• Unnamed Item
• A class of boundary value problems whose solutions possess angular limiting behavior
• A boundary layer theory for some linear and nonlinear boundary value problems
• Singular perturbations of nonlinear boundary value problems with turning points
• Subfunction and second-order ordinary differential inequalities
• Transition layers in singular perturbation problems
• Boundary Value Problems for a Second Order Differential Equation with a Turning Point
• Applications of the Maximum Principle to Singular Perturbation Problems
• Remarks on Singular Perturbations with Turning Points
• Singularly Perturbed Nonlinear Boundary Value Problems with Turning Points
• Singularly Perturbed Nonlinear Boundary Value Problems with Turning Points. II
• Boundary-interior layer interactions in nonlinear singular perturbation theory
• On a Differential Equation of Boundary Layer Type
• Boundary Layer Problems Exhibiting Resonance
• On Boundary Value Problems for a Singularly Perturbed Differential Equation with a Turning Point
• Some Examples of Singular Perturbation Problems with Turning Points
• A singular perturbation problem with a turning point
• Boundary Value Problems with a Turning Point
• Resonance in a Boundary Value Problem of Singular Perturbation Type
• The two-point problem for a class of ordinary differential equations with a small parameter coefficient of the derivative
• A Boundary Value Problem for a Nonlinear Differential Equation with a Small Parameter

This page was built for publication: A Model Nonlinear Problem Having a Continuous Locus of Singular Points