Unique solutions fo;…lass of discontinuous differential equations

Alberto Bressan

doi:10.1090/S0002-9939-1988-0964856-0

Unique solutions fo;…lass of discontinuous differential equations

Alberto Bressan

Research output: Contribution to journal › Article › peer-review

38 Scopus citations

Abstract

This paper is concerned with the Cauchy Problem x(t;…(t, x(t)), x(t₀;…₀ ϵ Rⁿ, where the vector fiel;…ay be discontinuous with respectto both variables t, x. If the total variation o;…long certain directions is locally finite, we prove the existence o;…nique solution, depending continuously on the initial data.

Original language	English (US)
Pages (from-to)	772-778
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	104
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-1988-0964856-0
State	Published - Nov 1 1988

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1988-0964856-0

Cite this

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title = "Unique solutions fo;…lass of discontinuous differential equations",

abstract = "This paper is concerned with the Cauchy Problem x(t;…(t, x(t)), x(t0;…0 ϵ Rn, where the vector fiel;…ay be discontinuous with respectto both variables t, x. If the total variation o;…long certain directions is locally finite, we prove the existence o;…nique solution, depending continuously on the initial data.",

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AB - This paper is concerned with the Cauchy Problem x(t;…(t, x(t)), x(t0;…0 ϵ Rn, where the vector fiel;…ay be discontinuous with respectto both variables t, x. If the total variation o;…long certain directions is locally finite, we prove the existence o;…nique solution, depending continuously on the initial data.

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Unique solutions fo;…lass of discontinuous differential equations

Abstract

All Science Journal Classification (ASJC) codes

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