Extremal solutions for first order singular problems with discontinuous nonlinearities

Cherpion, Marielle;Habets, Patrick;Pouso, R.
(2003) Dynamics of Continuous, Discrete and Impulsive Systems. Series A: Mathematical Analysis : an international journal for theory and applications — Vol. 10, n° 6, p. 931-947 (2003)

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Abstract
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.
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Cherpion, M., Habets, P., & Pouso, R. (2003). Extremal solutions for first order singular problems with discontinuous nonlinearities. Dynamics of Continuous, Discrete and Impulsive Systems. Series A: Mathematical Analysis : an international journal for theory and applications, 10(6), 931-947. https://hdl.handle.net/2078.5/88362 (Original work published 2003)