A GENERALIZATION OF BIHARI’S LEMMA FOR DISCONTINUOUS FUNCTIONS AND ITS APPLICATION TO THE STABILITY PROBLEM OF DIFFERENTIAL EQUATIONS WITH IMPULSE DISTURBANCE

Sergiy Borysenko
Giovanni Matarazzo
Massimo Pecoraro

Publication date

August 2015

Abstract

Abstract. This paper presents a generalization of nonlinear integral inequal-ities of the Gronwall–Bellman–Bihari type for discontinuous functions and its application to the investigation of the practical stability of solutions of systems of integro-differential equations with impulse perturbations at fixed moments of time

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A GENERALIZATION OF BIHARI’S LEMMA FOR DISCONTINUOUS FUNCTIONS AND ITS APPLICATION TO THE STABILITY PROBLEM OF DIFFERENTIAL EQUATIONS WITH IMPULSE DISTURBANCE

Abstract

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A GENERALIZATION OF BIHARI’S LEMMA FOR DISCONTINUOUS FUNCTIONS AND ITS APPLICATION TO THE STABILITY PROBLEM OF DIFFERENTIAL EQUATIONS WITH IMPULSE DISTURBANCE

Abstract

Extracted data

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