Results 101 to 110 of about 606,903 (214)
Communications on Pure and Applied Mathematics, Volume 79, Issue 1, Page 3-88, January 2026.Abstract We address the problem of regularity of solutions ui(t,x1,…,xN)$u^i(t, x^1, \ldots, x^N)$ to a family of semilinear parabolic systems of N$N$ equations, which describe closed‐loop equilibria of some N$N$‐player differential games with Lagrangian having quadratic behaviour in the velocity variable, running costs fi(x)$f^i(x)$ and final costs gi(
Marco Cirant, Davide Francesco Redaelli
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New Retarded Integral Inequalities with Applications
Journal of Inequalities and Applications, 2008 Some new nonlinear integral inequalities of Gronwall type for retarded functions are established, which extend the results Lipovan (2003) and Pachpatte (2004).
S. K. Sen, Young-Ho Kim, Ravi P. Agarwal
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Journal of Applied Mathematics, 2011 Some new Gronwall-Bellman-type delay integral inequalities in two independent variables on time scales are established, which provide a handy tool in the research of qualitative and quantitative properties of solutions of delay dynamic equations on time ...
Fanwei Meng, Qinghua Feng, Bin Zheng
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On integral inequalities of Gronwall-Bellman type [PDF]
Proceedings of the American Mathematical Society, 1985 A sharp bound is given for solutions of an integral inequality of the Gronwall-Bellman type. The bound which is the exact solution of the corresponding integral equation is obtained by reducing the equation to a system of differential equations.
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A special integral and a Gronwall inequality [PDF]
Transactions of the American Mathematical Society, 1976 This paper considers a special integral ( I ) ∫ a b ( f d g + H ) (I)\smallint _a^b(fdg + H) which is a subdivision-refinement-type limit of the approximating sum \[ ∑ 1 n
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Journal of Inequalities and Applications, 2019 Some new nonlinear weakly singular integral inequalities of Gronwall–Bellman–Pachpatte type are given. The estimations of unknown functions are obtained by analysis techniques.
Ran Yan, Fanwei Meng
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On Volterra inequalities and their applications
International Journal of Mathematics and Mathematical Sciences, 2004 We present certain variants of two-dimensional and n-dimensional Volterra integral inequalities. In particular, generalizations of the Gronwall inequality are obtained.
Lechosław Hącia
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Effect of hyperviscosity on the Navier-Stokes turbulence
, 2010 In this paper we modified the Navier-Stokes equations by adding a higher order artificial viscosity term to the conventional system. We first show that the solution of the regularized system converges strongly to the solution of the conventional system ...
Younsi, Abdelhafid
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, 2018 In this paper, we prove several new explicit estimations for the solutions of some classes of nonlinear dynamic inequalities of Gronwall–Bellman–Pachpatte type on time scales. Our results formulate some integral and discrete inequalities discussed in the
A. El-Deeb
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L1/LDG Method for Caputo-Hadamard Time Fractional Diffusion Equation. [PDF]
Commun Appl Math Comput, 2023 Wang Z.
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