Bounds of Double Integral Dynamic Inequalities in Two Independent Variables on Time Scales

Our aim in this paper is to establish some explicit bounds of the unknown function in a certain class of nonlinear dynamic inequalities in two independent variables on time scales which are unbounded above. These on the one hand generalize and on the other hand furnish a handy tool for the study of...

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Main Author: S. H. Saker
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2011/732164
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author S. H. Saker
author_facet S. H. Saker
author_sort S. H. Saker
collection DOAJ
description Our aim in this paper is to establish some explicit bounds of the unknown function in a certain class of nonlinear dynamic inequalities in two independent variables on time scales which are unbounded above. These on the one hand generalize and on the other hand furnish a handy tool for the study of qualitative as well as quantitative properties of solutions of partial dynamic equations on time scales. Some examples are considered to demonstrate the applications of the results.
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institution Kabale University
issn 1026-0226
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spelling doaj-art-1a4c463e25424c26882c63b1c533ded82025-02-03T01:23:39ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/732164732164Bounds of Double Integral Dynamic Inequalities in Two Independent Variables on Time ScalesS. H. Saker0College of Science Research Centre, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi ArabiaOur aim in this paper is to establish some explicit bounds of the unknown function in a certain class of nonlinear dynamic inequalities in two independent variables on time scales which are unbounded above. These on the one hand generalize and on the other hand furnish a handy tool for the study of qualitative as well as quantitative properties of solutions of partial dynamic equations on time scales. Some examples are considered to demonstrate the applications of the results.http://dx.doi.org/10.1155/2011/732164
spellingShingle S. H. Saker
Bounds of Double Integral Dynamic Inequalities in Two Independent Variables on Time Scales
Discrete Dynamics in Nature and Society
title Bounds of Double Integral Dynamic Inequalities in Two Independent Variables on Time Scales
title_full Bounds of Double Integral Dynamic Inequalities in Two Independent Variables on Time Scales
title_fullStr Bounds of Double Integral Dynamic Inequalities in Two Independent Variables on Time Scales
title_full_unstemmed Bounds of Double Integral Dynamic Inequalities in Two Independent Variables on Time Scales
title_short Bounds of Double Integral Dynamic Inequalities in Two Independent Variables on Time Scales
title_sort bounds of double integral dynamic inequalities in two independent variables on time scales
url http://dx.doi.org/10.1155/2011/732164
work_keys_str_mv AT shsaker boundsofdoubleintegraldynamicinequalitiesintwoindependentvariablesontimescales