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Licensed Unlicensed Requires Authentication Published by De Gruyter June 2, 2011

Comparison ODE theorems related to the method of lines

Henryk Leszczyński

Abstract

We prove a comparison theorem for an ODE and DAE system which arises from the method of lines. Under a Perron comparison condition on the functional dependence and a specific Lipschitz and (W+) condition on the classical argument, we obtain strong uniqueness criteria.

Received: 2010-02-23
Revised: 2010-07-12
Accepted: 2010-07-14
Published Online: 2011-06-02
Published in Print: 2011-June

© de Gruyter 2011