IJPAM: Volume 78, No. 1 (2012)
EXISTENCE OF SOLUTIONS OF NONLINEAR OPERATOR
IMPULSE DIFFERENTIAL EQUATIONS WITH
GENERALIZED DICHOTOMOUS LINEAR
PART IN A BANACH SPACE
IMPULSE DIFFERENTIAL EQUATIONS WITH
GENERALIZED DICHOTOMOUS LINEAR
PART IN A BANACH SPACE
Stepan Kostadinov
Faculty of Mathematics and Informatics
University of Plovdiv
236, Bulgaria Blvd., Plovdiv, 4003, BULGARIA
Faculty of Mathematics and Informatics
University of Plovdiv
236, Bulgaria Blvd., Plovdiv, 4003, BULGARIA
Abstract. By the help of a generalized dichotomy we introduce and consider nonlinear operator impulse differential equations in an arbitrary Banach space.
Received: March 21, 2012
AMS Subject Classification: 34G10, 34H20, 47H10
Key Words and Phrases: nonlinear impulse differential equations, generalized dichotomy, Banach fixed point principle
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 78
Issue: 1
