Integral manifolds and splitting of linear impulse singularly perturbed systems with a delay
1 Department of Mathematical Modeling, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
singularly perturbed systems
Abstract
We consider a system of linear impulsive singularly perturbed functional differential equations.
We prove the existence of integral manifolds. It is shown that the initial system can be decomposed
into two independent systems by linear substitution.
Cite
- ACS Style
- Klevchuk, I. Integral manifolds and splitting of linear impulse singularly perturbed systems with a delay. Bukovinian Mathematical Journal. 2016, 2
- AMA Style
- Klevchuk I. Integral manifolds and splitting of linear impulse singularly perturbed systems with a delay. Bukovinian Mathematical Journal. 2016; 2(4).
- Chicago/Turabian Style
- Ivan Klevchuk. 2016. "Integral manifolds and splitting of linear impulse singularly perturbed systems with a delay". Bukovinian Mathematical Journal. 2 no. 4.
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