A regularization for discontinuous differential equations with application to state-dependent delay differential equations of neutral type

DOI10.1016/j.jde.2010.12.013zbMath1218.34012OpenAlexW1973333950MaRDI QIDQ630588

Giorgio Fusco, Nicola Guglielmi

Publication date: 17 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.jde.2010.12.013

zbMATH Keywords

generalized solutionsregularizationsingular perturbationsneutral delay differential equationsFilippov systemsbreaking pointsexistence and uniqueness conditions

Mathematics Subject Classification ID

Neutral functional-differential equations (34K40) Discontinuous ordinary differential equations (34A36) Singular perturbations of functional-differential equations (34K26)

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Cites Work

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• Two examples of fattening for the curvature flow with a driving force
• Introduction to the theory and application of differential equations with deviating arguments. Translated from the Russian by John L. Casti
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• Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
• Discontinuous solutions of neutral delay differential equations
• Recent trends in the numerical solution of retarded functional differential equations
• Periodic Solutions of the Wave Equation with a Nonlinear Interface Condition
• Differential equations with discontinuous right-hand side
• Existence and Continuous Dependence for a Class of Nonlinear Neutral- Differential Equations
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