An existence and qualitative result for discontinuous implicit differential equations
LetT > 0 and Y ⊆ R^n. Given a function f:[0,T]×R^n×Y → R,we consider the Cauchy problem f(t,u,u′) = 0 in [0,T], u(0) = ξ . We prove an existence and qualitative result for the generalized solutions of the above problem. In particular, our result does not require the continuity of f with respect t...
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| Format: | Article |
| Language: | English |
| Published: |
Accademia Peloritana dei Pericolanti
2018-10-01
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| Series: | Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali |
| Online Access: |
http://dx.doi.org/10.1478/AAPP.962A4
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