Ordinary differential equations and systems with time-dependent discontinuity sets.

Autor: Cid, J. Ángel, Pouso, Rodrigo L.
Zdroj: Proceedings of the Royal Society of Edinburgh: Section A: Mathematics; 2004, Vol. 134 Issue 4, p617-637, 21p
Abstrakt: In this paper we prove new existence results for non-autonomous systems of first order ordinary differential equations under weak conditions on the nonlinear part. Discontinuities with respect to the unknown are allowed to occur over general classes of time-dependent sets which are assumed to satisfy a kind of inverse viability condition. [ABSTRACT FROM PUBLISHER]
Databáze: Complementary Index