Discrete inequalities of the Gronwall-Bellman type in n independent variables

DOI10.1016/0022-247X(85)90051-4zbMath0604.26012MaRDI QIDQ1083563

Cheh-Chih Yeh

Publication date: 1985

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

zbMATH Keywords

n-independent-variables discrete inequalities of the Gronwall-Bellman type

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Difference operators (39A70) Inequalities involving derivatives and differential and integral operators (26D10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (6)

Discrete inequalities of the Gronwall-Bellman type in n independent variables. II ⋮ Sharp discrete inequalities and applications to discrete variational problems ⋮ Comparison results for multidimensional difference equations ⋮ Systems of multidimensional discrete inequalities ⋮ Discrete inequalities in n independent variables of Gronwall-Bellman type ⋮ Discrete generalizations of someN-independent-variable integral inequalities of Langenhop-Gollwitzer type

Cites Work

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• Numerical methods and existence theorems for ordinary differential equations
• On certain discrete inequalities of the Wendroff type
• On some generalizations o f Bellman's lemma
• On some discrete inequalities of the Bellman-Bihari type
• Discrete generalized Gronwall inequalities in three independent variables
• More Generalised Discrete Gronwall Inequalities
• Fundamental Inequalities for Discrete and Discontinuous Functional Equations
• Uniqueness theorems and successive approximations

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