On Some Generalizations Bellman-Bihari Result for Integro-Functional Inequalities for Discontinuous Functions and Their Applications

We present some new nonlinear integral inequalities Bellman-Bihari type with delay for discontinuous functions (integro-sum inequalities; impulse integral inequalities). Some applications of the results are included: conditions of boundedness (uniformly), stability by Lyapunov (uniformly), practical...

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Veröffentlicht in:Boundary value problems 2009-01, Vol.2009 (1), p.1-14
Hauptverfasser: Gallo, Angela, Piccirillo, Anna Maria
Format: Artikel
Sprache:eng
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Zusammenfassung:We present some new nonlinear integral inequalities Bellman-Bihari type with delay for discontinuous functions (integro-sum inequalities; impulse integral inequalities). Some applications of the results are included: conditions of boundedness (uniformly), stability by Lyapunov (uniformly), practical stability by Chetaev (uniformly) for the solutions of impulsive differential and integro-differential systems of ordinary differential equations.
ISSN:1687-2762
1687-2770
DOI:10.1155/2009/808124