On some new integral inequalities for functions in one and two variables

DOI10.1007/s10114-004-0463-7zbMath1084.26013OpenAlexW2037985106MaRDI QIDQ2581163

Young-Ho Kim

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0463-7

zbMATH Keywords

integral inequalityBernoulli inequalityGronwall-Bellman type inequalityhyperbolic partial delay differential equations

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Inequalities for sums, series and integrals (26D15)

Related Items (11)

Unnamed Item ⋮ Explicit bounds on some new nonlinear integral inequalities with delay ⋮ Some retarded nonlinear integral inequalities and their applications in retarded differential equations ⋮ A class of retarded nonlinear integral inequalities and its application in nonlinear differential-integral equation ⋮ Some new generalized retarded nonlinear integral inequalities with iterated integrals and their applications ⋮ On some generalizations of certain retarded nonlinear integral inequalities with iterated integrals and an application in retarded differential equation ⋮ Some new retarded nonlinear integral inequalities and their applications in differential-integral equations ⋮ Generalized retarded nonlinear integral inequalities involving iterated integrals and an application ⋮ Estimates on solutions of some new nonlinear retarded Volterra-Fredholm type integral inequalities ⋮ Unnamed Item ⋮ A generalized retarded Gronwall-like inequality in two variables and applications to BVP

Cites Work

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• Inequalities for differential and integral equations
• Monotone iterative technique for a nonlinear integral equation
• Nonlinear singular integral inequalities for functions in two and \(n\) independent variables
• On some new inequalities related to a certain inequality arising in the theory of differential equations
• A retarded Gronwall-like inequality and its applications
• 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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