IJPAM: Volume 92, No. 4 (2014)

PSI-ORDINARY DICHOTOMY OF THE SOLUTIONS OF
IMPULSIVE DIFFERENTIAL EQUATIONS
IN A BANACH SPACE

Stoyan Zlatev
Faculty of Mathematics and Informatics
University of Plovdiv
236, Bulgaria Blvd., 4003 Plovdiv, BULGARIA


Abstract. In the paper a dependence is established between the $\psi$-ordinary dichotomy of a homogeneous impulsive differential equation in a Banach space and the existence of $\psi$-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, $\psi$-dichotomy, $\psi$-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

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).