On some new integral and integrodifferential inequalities in two independent variables and their applications

DOI10.1016/0022-0396(79)90091-3zbMath0406.45016OpenAlexW1975674100MaRDI QIDQ1257636

B. G. Pachpatte

Publication date: 1979

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(79)90091-3

zbMATH Keywords

UniquenessStabilityNumerical ComputationsContinuous DependenceInequalities of The Gronwall TypeIntegral and Integrodifferential InequalitiesNonlinear Partial Integrodifferential Equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Asymptotics of solutions to integral equations (45M05) Inequalities for sums, series and integrals (26D15) Theoretical approximation of solutions to integral equations (45L05)

Related Items (15)

On Gronwall-Bellman-Bihari-type integral inequalities in several variables with retardation ⋮ Existence, uniqueness and Ulam stabilities for nonlinear hyperbolic partial integrodifferential equations ⋮ About some new integral inequalities of wendroff type for discontinuous functions ⋮ On nonlinear integral inequalities of the Wendroff type ⋮ On some fundamental partial integral inequalities ⋮ On some new integral inequalities for non-self-adjoint hyperbolic partial integrodifferential equations ⋮ On some partial integral inequalities in n independent variables ⋮ On an integral inequality in n independent variables ⋮ Inequalities involving partial derivatives ⋮ On integrodifferential inequalities in two independent variables ⋮ Abstract comparison principles and multivariable Gronwall-Bellman inequalities ⋮ Some new integral inequalities of Wendorff type for discontinuous functions with integral jump conditions ⋮ 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

Cites Work

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• A note on Gronwall-Bellman inequality
• Gronwall's Inequality for Systems of Partial Differential Equations in Two Independent Variables
• Perturbations of nonlinear systems of differential equations
• Stability and asymptotic behavior of perturbed nonlinear systems

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