Nonlocal four-point boundary value problem for the singularly perturbed semilinear differential equations

DOI10.1155/2011/570493zbMath1209.34018OpenAlexW4231416936MaRDI QIDQ610841

Robert Vrabel

Publication date: 13 December 2010

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

Full work available at URL: https://eudml.org/doc/231861

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic properties of solutions to ordinary differential equations (34D05) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (2)

Two-point boundary value problems for a class of second-order ordinary differential equations ⋮ On the approximation of the boundary layers for the controllability problem of nonlinear singularly perturbed systems

Cites Work

• Positive solutions of four-point singular boundary value problems
• Singularly perturbed ordinary differential equations with nonautonomous fast dynamics
• Positive solutions for three-point boundary value problems with dependence on the first order derivative.
• The value function of singularly perturbed control systems
• Stability in the presence of singular perturbations
• On a Representation of the Limit Occupational Measures Set of a Control System with Applications to Singularly Perturbed Control Systems
• A variable-mesh approximation method for singularly perturbed boundary-value problems using cubic spline in tension
• Multiscale Singularly Perturbed Control Systems: Limit Occupational Measures Sets and Averaging
• Semilinear singular perturbation

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