On the Solvability of Some Partial Differential Inequality

Martin Himmel

Abstract


The Dulac criterion is a classical method for ruling out the existence of periodic solutions in planar differential equations. In this paper the applicability and therefore reversibility of this criterionis under consideration.

Keywords


dynamical systems; planar differential equations; limit cycles; Dulac’s inequality; locally sufficient criteria

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ISSN 1210-2709 (Print)
ISSN 1805-2363 (Online)
Published by the Czech Technical University in Prague