About new analogies of Gronwall-Bellman-Bihari type inequalities for discontinuous functions and estimated solutions for impulsive differential systems

DOI10.1016/j.na.2006.07.038zbMath1124.26013OpenAlexW2073661467MaRDI QIDQ885330

Angela Gallo, Anna Maria Piccirillo

Publication date: 8 June 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.07.038

zbMATH Keywords

estimatesintegral inequalities

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Inequalities for sums, series and integrals (26D15) Differential inequalities involving functions of a single real variable (34A40) Other analytical inequalities (26D20)

Related Items

Unnamed Item ⋮ Growth in an impulsive integral inequality ⋮ On some new integral inequalities of Gronwall-Bellman-Bihari type with delay for discontinuous functions and their applications ⋮ About some new generalizations of bellman-bihari results for integro-functional inequalities with discontinuous functions and applications ⋮ Some new integral inequalities with mixed nonlinearities for discontinuous functions ⋮ Boundary value problems for a class of impulsive functional equations ⋮ Existence and compactness of solutions to impulsive differential equations with nonlocal conditions ⋮ On some generalizations Bellman-Bihari result for integro-functional inequalities for discontinuous functions and their applications ⋮ New integral inequalities with weakly singular kernel for discontinuous functions and their applications to impulsive fractional differential systems

Cites Work

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• Impulsive differential systems and the pulse phenomena
• Investigations of the properties motion for essential nonlinear systems perturbed by impulses on some hypersurfaces
• Integro-sum inequalities and motion stability of systems with impulse perturbations
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• Integral and integro-differential inequalities
• On the stability of impulsively perturbed differential systems
• Extremal solutions, comparison principle and stability criteria for impulsive differential equations with variable times
• Stability of a class of discontinuous dynamical systems
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