Existence of bounded solutions of a degenerate impulsive linear inhomogeneous system
Korol Yuriy
1
1 Faculty of Engineering and Technology, Uzhhorod National University, Uzhhorod, 88000, Ukraine
Keywords:
linear inhomogeneous system
Abstract
The article considers a degenerate system that reduces to the central canonical form, and at the same time the corresponding homogeneous non-degenerate system is exponential-dichotomous on the semi-axes. A necessary and sufficient condition for the existence and uniqueness of a solution bounded on the entire axis of a degenerate system of differential equations with impulsive action at fixed moments of time is obtained.
Cite
- ACS Style
- Korol , Y. Existence of bounded solutions of a degenerate impulsive linear inhomogeneous system. Bukovinian Mathematical Journal. 2016, 4
- AMA Style
- Korol Y. Existence of bounded solutions of a degenerate impulsive linear inhomogeneous system. Bukovinian Mathematical Journal. 2016; 4(1-2).
- Chicago/Turabian Style
- Yuriy Korol . 2016. "Existence of bounded solutions of a degenerate impulsive linear inhomogeneous system". Bukovinian Mathematical Journal. 4 no. 1-2.
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