Some new integral inequalities of Bellman-Bihari type with delay for discontinuous functions

DOI10.1016/J.NA.2005.11.043zbMath1118.26022OpenAlexW1990800041MaRDI QIDQ858672

Gerardo Iovane

Publication date: 11 January 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.2005.11.043

zbMATH Keywords

impulsive differential equationsintegro-sum inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (15)

Nonlinear impulsive differential and integral inequalities with nonlocal jump conditions ⋮ Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications ⋮ Nonlinear discrete inequality in two variables with delay and its application ⋮ Some new generalized retarded inequalities for discontinuous functions and their applications ⋮ Impulsive differential systems: the problem of stability and practical stability ⋮ About some new generalizations of bellman-bihari results for integro-functional inequalities with discontinuous functions and applications ⋮ Some new weakly singular integral inequalities with discontinuous functions for two variables and their applications ⋮ Some generalized Gronwall-Bellman type nonlinear delay integral inequalities for discontinuous functions ⋮ Some new integral inequalities with mixed nonlinearities for discontinuous functions ⋮ BOUNDEDNESS OF SOLUTIONS FOR IMPULSIVE DIFFERENTIAL EQUATIONS WITH INTEGRAL JUMP CONDITIONS ⋮ Gronwall-Bellman type nonlinear delay integral inequalities on time scales ⋮ Nonlinear integral inequalities with delay for discontinuous functions and their applications ⋮ Nonlinear impulsive differential and integral inequalities with integral jump conditions ⋮ On the existence of solutions for nonlinear first-order implicit impulsive integro-differential equations ⋮ On some generalizations Bellman-Bihari result for integro-functional inequalities for discontinuous functions and their applications

Cites Work

• Asymptotic stability of solutions of systems with impulsive action
• On Gronwall-Bellman-Bihari-type integral inequalities in several variables with retardation
• A brief biography and survey of collected works of V. Lakshmikantham
• 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
• Basic Results for Fuzzy Impulsive Differential Equations
• A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
• Integral and integro-differential inequalities
• On quasi stability for impulsive differential systems
• Comparison principle for impulsive differential equations with variable times and stability theory
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