Gronwall's inequality for functions of two independent variables

DOI10.1016/0022-247X(76)90171-2zbMath0333.26006OpenAlexW2047194026MaRDI QIDQ1228680

David L. Rasmussen

Publication date: 1976

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(76)90171-2

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (7)

On Gronwall-Bellman-Bihari-type integral inequalities in several variables with retardation ⋮ On some partial integral inequalities in n independent variables ⋮ Analysis and numerical solution of the generalized proportional fractional Cauchy problem ⋮ Abstract comparison principles and multivariable Gronwall-Bellman inequalities ⋮ A Gronwall inequality via the generalized proportional fractional derivative with applications ⋮ Path-by-path uniqueness of multidimensional SDE's on the plane with nondecreasing coefficients ⋮ On some generalizations of the Gronwall-Bellman integral inequality for scalar functions of many variables

Cites Work

• Introduction to the mathematical theory of control processes. Vol I: Linear equations and quadratic criteria
• Spectral localization of operators in Banach spaces
• Sur l'équation intégrale de Volterra
• Sur un système d'inégalités intégrales
• Gronwall's Inequality for Systems of Partial Differential Equations in Two Independent Variables
• Differential- und Integral-Ungleichungen
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• Comment on the Preceding Paper
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