ENGLISH

Some Gronwall Type Inequalities and Applications

By Sever S. Dragomir

Book information

Publisher
Nova Science Publishers
Year
2003
ISBN
9781590338278, 1590338278
Open Library ID
OL9435625M
Language
english
Format
PDF
Filesize
647 kB (662592 bytes)
Pages
197\197
Library
kolxoz
Time added
2010-02-18 13:16:04

Description

Gronwall type integral inequalities of one variable for real functions play a very important role in the Qualitative Theory of Differential Equations. The main aim of the present research monograph is to present some natural applications of Gronwall inequalities with non-linear kernels of Lipschitz type of the problems of boundedness and convergence to zero at infinity of the solutions of certain Volterra integral equations. Stability, uniform stability, uniform asymptotic stability and global asymptotic stability properties for trivial solution of certain differential system of equations are also investigated.

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