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Integral varieties and the reduction principle for differential-functional equations of neutral type
Klevchuk Ivan 1
1 Department of Mathematical Modeling, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords: differential-functional equations
Abstract

The reduction principle is proved for studying the stability of the zero solution of a nonlinear differential equation of neutral type in the critical case. The problem is reduced to studying the zero solution of a system of ordinary differential equations constructed using the method of integral manifolds.

Cite
ACS Style
Klevchuk, I. Integral varieties and the reduction principle for differential-functional equations of neutral type. Bukovinian Mathematical Journal. 2016, 4
AMA Style
Klevchuk I. Integral varieties and the reduction principle for differential-functional equations of neutral type. Bukovinian Mathematical Journal. 2016; 4(1-2).
Chicago/Turabian Style
Ivan Klevchuk. 2016. "Integral varieties and the reduction principle for differential-functional equations of neutral type". Bukovinian Mathematical Journal. 4 no. 1-2.
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