On some fundamental integral inequalities in two independent variables

DOI10.1016/0022-247X(79)90246-4zbMath0444.26012MaRDI QIDQ1144680

B. K. Bondge, B. G. Pachpatte

Publication date: 1979

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

zbMATH Keywords

hyperbolic partial integro-differential equationstwo-independent-variable generalization of Gronwall's inequality

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 (9)

On Gronwall-Bellman-Bihari-type integral inequalities in several variables with retardation ⋮ About some new integral inequalities of wendroff type for discontinuous functions ⋮ On some new integral inequalities for non-self-adjoint hyperbolic partial integrodifferential equations ⋮ On some partial integral inequalities in n independent variables ⋮ Some integral inequalities in n independent variables ⋮ Discrete generalizations of someN-independent-variable integral inequalities of Langenhop-Gollwitzer type ⋮ On some integral inequalities in n independent variables and their applications ⋮ Extensions of Gronwall-Bellman type integral inequalities with two independent variables ⋮ On some new integral inequalities in n independent variables

Cites Work

• On nonlinear integral inequalities of the Wendroff type
• On some discrete inequalities of the Bellman-Bihari type
• Bounds on the Norm of a Solution of a General Differential Equation
• 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
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