Results 91 to 100 of about 606,903 (214)
q-Non uniform difference calculus and classical integral inequalities
Journal of Inequalities and Applications, 2019 We first establish q-non uniform difference versions of the integral inequalities of Hölder, Cauchy–Schwarz, and Minkowski of classical mathematical analysis and then integral inequalities of Grönwall and Bernoulli based on the Lagrange method of linear ...
Gaspard Bangerezako +2 more
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Analysis on some powered integral inequalities with retarded argument and application
Journal of Taibah University for Science, 2020 We investigate a certain class of nonlinear Gronwall–Bellman–Pachpatte type of integral inequalities involving retarded term and nonlinear integrals.
Zareen A. Khan
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The Solution of a Nonlinear Gronwall Inequality [PDF]
Proceedings of the American Mathematical Society, 1973 This paper extends some of the earlier results of J. V. Herod, W. W. Schmaedeke and G. R. Sell, and B. W. Helton and shows that, under the given conditions, (1) there is a function u u satisfying the inequality \[ f ( x ) ≦ h ( x ) + ( R L )
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Numerical Analysis of a Benjamin–Bona–Mahony Type Equation in a Noncylindrical Domain
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 818-834, 30 January 2026.ABSTRACT Numerical analysis and simulation for the approximate solution of a Benjamin–Bona–Mahony type equation defined in a noncylindrical domain are presented in this article. The approximate problem is defined using the linearized Crank–Nicolson Galerkin method, which results in a linear algebraic system at each time step while maintaining quadratic
Vania Cristina Machado +2 more
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On retarded nonlinear integral inequalities of Gronwall and applications
Journal of Mathematical Inequalities, 2019 . By some new analysis techniques, we generalize the results presented by Pachpatte in [8] to nonlinear retarded inequalities, and also investigate some new forms. Some examples are presented to illustrate our results at the end.
A. Abdeldaim +2 more
semanticscholar +1 more source
Asian Journal of Control, Volume 28, Issue 1, Page 34-45, January 2026.Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
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Cone-valued impulsive differential and integrodifferential inequalities
Electronic Journal of Differential Equations, 2005 In this paper, we present impulsive analogues of the Gronwall-Bellman inequalities. Conditions for the existence of maximal solutions of some integrodifferential equations are obtained by finding upper bounds for these inequalities.
Sam Olatunji Ale +2 more
doaj
, 2016 In this paper, we consider the initial-boundary value problem of the three-dimensional primitive equations for oceanic and atmospheric dynamics with only horizontal viscosity and horizontal diffusivity.
Cao, Chongsheng +2 more
core
No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system
Asian Journal of Control, Volume 28, Issue 1, Page 312-324, January 2026.Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi +3 more
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A Gronwall-type Trigonometric Inequality [PDF]
The American Mathematical Monthly, 2018 We prove that the absolute value of the $n$th derivative of $\cos(\sqrt{x})$ does not exceed $n!/(2n)!$ for all $x>0$ and $n = 0,1,\ldots$ and obtain a natural generalization of this inequality involving the analytic continuation of $\cos(\sqrt{x})$.
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