New retarded integral inequalities with applications

DOI10.1155/2008/908784zbMath1151.45001OpenAlexW2058726499WikidataQ59218447 ScholiaQ59218447MaRDI QIDQ938448

Ravi P. Agarwal, Young-Ho Kim, Syamal K. Sen

Publication date: 19 August 2008

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/129441

zbMATH Keywords

integral equationsfunctional differential equationsretarded functionsnonlinear integral inequalities of Gronwall type

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Inequalities for sums, series and integrals (26D15) General theory of functional-differential equations (34K05)

Related Items (13)

On generalized of certain retarded nonlinear integral inequalities and its applications in retarded integro-differential equations ⋮ Some new nonlinear retarded sum-difference inequalities with applications ⋮ A generalized nonlinear sums-difference inequality and its applications ⋮ A new class of nonlinear Gronwall-Bellman delay integral inequalities with power and its applications ⋮ Nonlinear retarded integral inequalities with two variables and applications ⋮ On some generalizations of certain retarded nonlinear integral inequalities with iterated integrals and an application in retarded differential equation ⋮ Some new generalized retarded inequalities for discontinuous functions and their applications ⋮ Some new weakly singular integral inequalities with discontinuous functions for two variables and their applications ⋮ Some new difference inequalities and an application to discrete-time control systems ⋮ A new nonlinear retarded integral inequality and its application ⋮ Some nonlinear Gronwall-Bellman type retarded integral inequalities with power and their applications ⋮ Some generalized Gronwall-Bellman type difference inequalities and applications ⋮ Some new nonlinear powered Gronwall-Bellman type retarded integral inequalities and their applications

Cites Work

• A generalized Gronwall inequality and its application to a fractional differential equation
• The second law of thermodynamics and stability
• A retarded integral inequality and its applications.
• Generalization of a retarded Gronwall-like inequality and its applications
• An impulsive nonlinear singular version of the Gronwall-Bihari inequality
• Some new nonlinear inequalities and applications to boundary value problems
• On certain new Gronwall-Ou-Iang type integral inequalities in two variables and their applica\-tions
• The stability of solutions of linear differential equations
• A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
• Explicit bounds on certain integral inequalities

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