On some fundamental partial integral inequalities

DOI10.1016/0022-247X(80)90030-XzbMath0444.26011OpenAlexW2073333408MaRDI QIDQ1144679

B. G. Pachpatte

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0022-247x(80)90030-x

zbMATH Keywords

partial integral inequalitiesGronwall type inequalityhyperbolic partial integro-differential equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Integro-partial differential equations (45K05) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (10)

On Gronwall-Bellman-Bihari-type integral inequalities in several variables with retardation ⋮ Submultiplicative and subadditive functions and integral inequalities of Bellman-Bihari type ⋮ Existence, uniqueness and Ulam stabilities for nonlinear hyperbolic partial integrodifferential equations ⋮ On nonlinear integral inequalities of the Wendroff type ⋮ On some new integral inequalities for non-self-adjoint hyperbolic partial integrodifferential equations ⋮ On some partial integral inequalities in n independent variables ⋮ On generalized Wendroff type inequalities and their applications ⋮ On some new inequalities in n independent variables ⋮ On some integral inequalities in n independent variables and their applications ⋮ Extensions of Gronwall-Bellman type integral inequalities with two independent variables

Cites Work

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• On nonlinear integral inequalities of the Wendroff type
• On some integral inequalities similar to Bellman-Bihari inequalities
• Two generalizations of the Gronwall inequality by product integration
• On some discrete inequalities of the Bellman-Bihari type
• On some new integral and integrodifferential inequalities in two independent variables and their applications
• A multidimensional nonlinear Gronwall inequality
• A note on Gronwall-Bellman inequality
• A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
• Bounds on the Norm of a Solution of a General Differential Equation
• More Generalised Discrete Gronwall Inequalities
• Linear Generalizations of Gronwall's Inequality
• A Note on a Functional Inequality
• Gronwall's Inequality for Systems of Partial Differential Equations in Two Independent Variables
• Gronwall's Inequality in n Independent Variables
• Stability and asymptotic behavior of perturbed nonlinear systems
• Perturbations of nonlinear systems of differential equations

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