IJPAM: Volume 92, No. 4 (2014)
PSI-ORDINARY DICHOTOMY OF THE SOLUTIONS OF
IMPULSIVE DIFFERENTIAL EQUATIONS
IN A BANACH SPACE
IMPULSIVE DIFFERENTIAL EQUATIONS
IN A BANACH SPACE
Stoyan Zlatev
Faculty of Mathematics and Informatics
University of Plovdiv
236, Bulgaria Blvd., 4003 Plovdiv, BULGARIA
Faculty of Mathematics and Informatics
University of Plovdiv
236, Bulgaria Blvd., 4003 Plovdiv, BULGARIA
Abstract. In the paper a dependence is established between the -ordinary dichotomy of a homogeneous impulsive differential equation in a Banach space and the existence of -bounded solution of the appropriate nonhomogeneous equation.
Received: February 3, 2014
AMS Subject Classification: 34A37, 34G10, 34D09
Key Words and Phrases: ordinary dichotomy for impulsive differential equations, -dichotomy, -boundedness
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DOI: 10.12732/ijpam.v92i4.16 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 92
Issue: 4
Pages: 609 - 618
This work is licensed under the Creative Commons Attribution International License (CC BY).