|
|
|
|
Volume 5, Issue 4, Article 88 |
|
|
|
|
|
|
Nonlinear Delay Integral Inequalities For Piecewise Continuous Functions And Applications
|
|
|
Authors: |
Snezhana Hristova, |
|
|
|
Keywords:
|
Integral inequalities, Piecewise continuous functions, Impulsive differential equations. |
|
|
|
Date Received:
|
03/03/04 |
|
|
|
Date Accepted:
|
08/08/04 |
|
|
|
Subject Codes: |
26D10, 34A37, 35K12
|
|
|
|
Editors: |
Sever S. Dragomir, |
|
|
|
|
|
|
|
|
|
Abstract: |
Nonlinear integral inequalities of Gronwall-Bihari type for piecewise continuous functions are solved. Inequalities for functions with delay as well as functions without delays are considered. Some of the obtained results are applied in the deriving of estimates for the solutions of impulsive integral, impulsive integro-differential and impulsive differential-difference equations.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|