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Extremal solutions for first order singular problems with discontinuous nonlinearities

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Cherpion, Marielle [UCL] Habets, Patrick [UCL] Pouso, R.

We derive sufficient conditions for the existence of extremal solutions for first order ordinary differential equations whose right-hand side may be discontinuous and singular. Furthermore, the initial conditions that we consider may be located exactly over one of the singularities.

Document type Article de périodique (Journal article) – Article de recherche
Publication date 2003
Language Anglais
Journal information "Dynamics of Continuous, Discrete and Impulsive Systems. Series A: Mathematical Analysis : an international journal for theory and applications" - Vol. 10, no. 6, p. 931-947 (2003)
Peer reviewed yes
Publisher Watam Press (Waterloo)
issn 1201-3390
Publication status Publié
Affiliation UCL - FSA/INMA - Département d'ingénierie mathématique
Keywords singular differential equations ; discontinuous differential equations
Links
Bibliographic reference Cherpion, Marielle ; Habets, Patrick ; Pouso, R.. Extremal solutions for first order singular problems with discontinuous nonlinearities. In: Dynamics of Continuous, Discrete and Impulsive Systems. Series A: Mathematical Analysis : an international journal for theory and applications, Vol. 10, no. 6, p. 931-947 (2003)
Permanent URL http://hdl.handle.net/2078.1/40720