Integral sets and the reduction principle for impulse differential-functional equations
1 Department of Mathematical Modeling, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
Integral set, differential-functional equations
Abstract
We consider a system of nonlinear impulsive functional differential equations. We prove the existence of integral sets and reduction principle for investigation of stability in the critical case. It is shown that the linear system can be decomposed into two independent systems.
Cite
- ACS Style
- Klevchuk, I. Integral sets and the reduction principle for impulse differential-functional equations. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Klevchuk I. Integral sets and the reduction principle for impulse differential-functional equations. Bukovinian Mathematical Journal. 2018; 1(134).
- Chicago/Turabian Style
- Ivan Klevchuk. 2018. "Integral sets and the reduction principle for impulse differential-functional equations". Bukovinian Mathematical Journal. 1 no. 134.
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