Sliding solutions of second-order differential equations with discontinuous right-hand side - Archive ouverte HAL
Article Dans Une Revue Mathematical Methods in the Applied Sciences Année : 2017

Sliding solutions of second-order differential equations with discontinuous right-hand side

Résumé

We consider second-order ordinary differential equations with discontinuous right-hand side. We analyze the concept of solution of this kind of equations and determine analytical conditions that are satisfied by typical solutions. Moreover, the existence and uniqueness of solutions and sliding solutions are studied.

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Mathématiques [math]

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https://u-bourgogne.hal.science/hal-01609363

Soumis le : mardi 3 octobre 2017-15:38:17

Dernière modification le : mercredi 16 octobre 2024-14:42:09

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Dates et versions

hal-01609363 , version 1 (03-10-2017)

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Clayton E. L. da Silva, Paulo R. da Silva, Alain Jacquemard. Sliding solutions of second-order differential equations with discontinuous right-hand side. Mathematical Methods in the Applied Sciences, 2017, 40 (14), pp.5295 - 5306. ⟨10.1002/mma.4387⟩. ⟨hal-01609363⟩

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