On a generalization of the Gronwall-Bellman lemma in partially ordered Banach spaces
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Publication:2534388
DOI10.1016/0022-247X(70)90016-8zbMath0179.20302OpenAlexW2000048989WikidataQ124858292 ScholiaQ124858292MaRDI QIDQ2534388
Jagdish Chandra, Bernard A. Fleishman
Publication date: 1970
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(70)90016-8
General theory for ordinary differential equations (34A99) Nonlinear operators and their properties (47H99)
Related Items (22)
On Gronwall-Bellman-Bihari-type integral inequalities in several variables with retardation ⋮ Minimal conditions for implications of Gronwall-Bellman type ⋮ Gronwall Type Inequalities ⋮ Integral inequalities of Gronwall type for distributions ⋮ Accurate Absorbing Boundary Conditions for the Two-Dimensional Nonlocal Schrödinger Equations ⋮ Construction and analysis of discretization schemes for one-dimensional nonlocal Schrödinger equations with exact absorbing boundary conditions ⋮ Exponential stability of sampled-data control systems with enhanced average sampling interval ⋮ Gronwall Type Inequalities ⋮ Empirical evolution equations ⋮ A second-order absorbing boundary condition for two-dimensional peridynamics ⋮ Wendroff's inequality in n independent variables ⋮ Improved error bounds for the Liouville Green (or WKB) approximation ⋮ On some vector-valued inequalities of Gronwall type ⋮ On Integral Inequalities of Gronwall-Bellman Type ⋮ Comparison principle and nonlinear contractions in abstract spaces ⋮ A generalization of the Gronwall-Bellman lemma and its applications ⋮ A note on Gronwall-Bellman inequality ⋮ Some generalizations of Bellman-Bihari integral inequalities ⋮ Integral inequalities and applications ⋮ Abstract comparison principles and multivariable Gronwall-Bellman inequalities ⋮ Some point-wise estimates for solutions of a class of nonlinear functional-integral inequalities ⋮ Integral inequalities of Gronwall-Bellman-Bihari type and asymptotic behavior of certain second order nonlinear differential equations
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