Further Refinements of Certain Pachpatte-Gamidov-Type Inequalities in Two Independent Variables and their Applications

DOI10.1080/1726037X.2020.1860457zbMath1499.26100OpenAlexW3204954250MaRDI QIDQ5029632

Khaled Boukerrioua, Amira Ayari

Publication date: 14 February 2022

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1726037x.2020.1860457

zbMATH Keywords

integral equationnondecreasing functionuniqueness solutionPachpatte-Gamidov-type inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Discrete version of topics in analysis (39A12) Other analytical inequalities (26D20)

Cites Work

• A generalization of retarded integral inequalities in two independent variables and their applications
• On a generalized retarded integral inequality with two variables
• A generalized retarded Gronwall-like inequality in two variables and applications to BVP
• Nonlinear singular integral inequalities for functions in two and \(n\) independent variables
• New explicit bounds on Gamidov type integral inequalities for functions in two variables and their applications
• Some nonlinear Gronwall-Bellman-Gamidov integral inequalities and their weakly singular analogues with applications
• Explicit bounds on some new nonlinear integral inequalities with delay
• On certain integral inequalities in two independent variables for retarded equations
• ON SOME NEW GENERALIZATIONS OF CERTAIN GAMIDOV INTEGRAL INEQUALITIES IN TWO INDEPENDENT VARIABLES AND THEIR APPLICATIONS
• On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities
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