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Integral manifolds and dynamic equivalence of differential functional equations
Klevchuk Ivan 1
1 Department of Mathematical Modeling, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords: differential functional equations
Abstract

We consider a system of nonlinear functional differential equations. The right-hand side of the system satisfies the integral Lipschitz condition. We prove the existence of an integral manifolds. It is shown that the initial system can be reduced into simpler form by homeomorphic substitution.

References

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[5] Klevchuk I.I., Fodchuk V.I. On dynamic equivalence of differential-functional equations of neutral type // Ukr. mat. zhurn.–1985.–37, N1.–P.31–37.

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Cite
ACS Style
Klevchuk, I. Integral manifolds and dynamic equivalence of differential functional equations. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Klevchuk I. Integral manifolds and dynamic equivalence of differential functional equations. Bukovinian Mathematical Journal. 2018; 1(111).
Chicago/Turabian Style
Ivan Klevchuk. 2018. "Integral manifolds and dynamic equivalence of differential functional equations". Bukovinian Mathematical Journal. 1 no. 111.
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