Displaying similar documents to “Discrete Generalization of Gronwall-Bellman Inequality with Maxima and Application Дискретно обобщение с максимуми на неравенството на Гронуол-Белман и приложения”

On the asymptotic behavior of solutions of linear difference equations.

Jerzy Popenda, Ewa Schmeidel (1994)

Publicacions Matemàtiques

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In the paper sufficient conditions for the difference equation : Δxn = Σi=0 r an (i) xn+i to have a solution which tends to a constant, are given. Applying these conditions, an asymptotic formula for a solution of an m-th order equation is presented.

Clarkson type inequalities and their relations to the concepts of type and cotype.

Mikio Kato, Lars-Erik. Persson, Yasuji Takahashi (2000)

Collectanea Mathematica

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We prove some multi-dimensional Clarkson type inequalities for Banach spaces. The exact relations between such inequalities and the concepts of type and cotype are shown, which gives a conclusion in an extended setting to M. Milman's observation on Clarkson's inequalities and type. A similar investigation conceming the close connection between random Clarkson inequality and the corresponding concepts of type and cotype is also included. The obtained results complement, unify and generalize...

Asymptotic equivalence of Volterra difference systems.

Jaroslaw Morchalo (1995)

Publicacions Matemàtiques

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The purpose of this paper is to give some results on the asymptotic relationship between the solutions of a linear difference equation and its perturbed nonlinear equation.