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Heteroclinic solutions in singularly perturbed discontinuous differential equations

Flaviano Battelli,Michal Fečkan,JinRong Wang

Journal of Differential Equations（2024）

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Abstract
We derive Melnikov type conditions for the persistence of heteroclinic solutions in perturbed slowly varying discontinuous differential equations extending to these equations similar results for continuous differential equations.
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Key words
Discontinuous differential equations,Heteroclinic solutions,Melnikov conditions,Persistence
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