A multidimensional nonlinear Gronwall inequality

DOI10.1016/0022-247X(74)90020-1zbMath0289.34018MaRDI QIDQ1846966

Velmer B. Headley

Publication date: 1974

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

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Cauchy-Kovalevskaya theorems (35A10) Differential inequalities involving functions of a single real variable (34A40)

Related Items (21)

On Gronwall-Bellman-Bihari-type integral inequalities in several variables with retardation ⋮ On the asymptotic integration of nonlinear differential equations ⋮ A spectral collocation method for multidimensional nonlinear weakly singular Volterra integral equation ⋮ A Legendre spectral method for multidimensional partial Volterra integro-differential equations ⋮ A spectral collocation method for a nonlinear multidimensional Volterra integral equation ⋮ 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 ⋮ Wendroff's inequality in n independent variables ⋮ Some integral inequalities in n independent variables ⋮ On Integral Inequalities of Gronwall-Bellman Type ⋮ Abstract comparison principles and multivariable Gronwall-Bellman inequalities ⋮ Spectral method for multidimensional Volterra integral equation with regular kernel ⋮ Solving nonlinear Volterra-Fredholm integral equations using an accurate spectral collocation method ⋮ A Jacobi spectral method for solving multidimensional linear Volterra integral equation of the second kind ⋮ On generalized Wendroff type inequalities and their applications ⋮ On some new inequalities in n independent variables ⋮ The Gronwall-Bellman inequality in several variables ⋮ On some integral inequalities in n independent variables and their applications ⋮ Bellman-Bihari integral inequalities in several independent variables ⋮ Some integrodifferential inequalities in n-independent variables

Cites Work

• Zur Abschätzung der Lösungen nichtlinearer parabolischer Differentialgleichungen
• Sur un système d'inégalités intégrales
• Note sur l'inégalité différentielle concernant les équations du type parabolique
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