Fundamental Inequalities for Discrete and Discontinuous Functional Equations

DOI10.1137/0112004zbMath0154.05702OpenAlexW2163964108MaRDI QIDQ5533350

G. Stephen Jones

Publication date: 1964

Published in: Journal of the Society for Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0112004

zbMATH Keywords

differentiation and integration, measure theory

Related Items (32)

Discrete inequalities of the Gronwall-Bellman type in n independent variables ⋮ Boundedness criteria for solutions of certain second order nonlinear differential equations ⋮ On some new discrete generalizations of Gronwall's inequality ⋮ Stabilization of a fractional-order chaotic brushless DC motor via a single input ⋮ On some systems of two discrete inequalities of Gronwall type ⋮ Minimal conditions for implications of Gronwall-Bellman type ⋮ Weakly singular Henry-Gronwall-Bihari type inequalities and their applications ⋮ Completeness properties of Sobolev metrics on the space of curves ⋮ Convergence results of a heterogeneous asynchronous newmark time integrators ⋮ Integral inequalities of Gronwall type for distributions ⋮ Discrete inequalities in n independent variables of Gronwall-Bellman type ⋮ On strong convergence of explicit numerical methods for stochastic delay differential equations under non-global Lipschitz conditions ⋮ Mathematical analysis of nonlinear Helmbold-type equations of warfare ⋮ A Note on a Functional Inequality ⋮ Robust stability analysis of nonlinear fractional-order time-variant systems ⋮ Discrete-time methods for equations modelling transport of foreign-atoms in semiconductors ⋮ Strong solutions of mean-field stochastic differential equations with irregular drift ⋮ Stabilization of the fractional-order Chua chaotic circuit via the Caputo derivative of a single input ⋮ Improved error bounds for the Liouville Green (or WKB) approximation ⋮ Stieltjes integral inequalities of Gronwall type and applications ⋮ Forward and backward stochastic differential equations with normal constraints in law ⋮ Lasalle's inequality and uniqueness theorems ⋮ Input-output properties of multiple-input, multiple-output discrete systems. I, II ⋮ Integro-sum inequalities and motion stability of systems with impulse perturbations ⋮ On some generalizations o f Bellman's lemma ⋮ Fluctuation limits for mean-field interacting nonlinear Hawkes processes ⋮ On Stieltjes-Volterra integral equations ⋮ On a generalization of the Gronwall-Bellman lemma in partially ordered Banach spaces ⋮ Integral inequalities in measure spaces ⋮ A fractional-order model for MINMOD millennium ⋮ Uniqueness for Dissipative Schrödinger-Poisson Systems ⋮ GEODESIC COMPLETENESS FOR SOBOLEV METRICS ON THE SPACE OF IMMERSED PLANE CURVES

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