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

Samir H. Saker | Zendy

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

Author(s) -

Samir H. Saker

Publication year - 2011

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2011/732164

Subject(s) - dynamic equation , nonlinear system , class (philosophy) , mathematics , inequality , function (biology) , variables , computer science , mathematical analysis , statistics , physics , artificial intelligence , quantum mechanics , evolutionary biology , biology

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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