This article is cited in 2 papers

On asymptotic solutions of systems of differential equations with deviating argument in certain critical cases

S. D. Furta


Abstract: Sufficient conditions are found for the existence of particular solutions of the system
$$ \dot x(t) =f\bigl(x(t),x(t+t_1),\dots,x(t+t_k)\bigr),\qquad x\in \mathbb R^n, $$
that converge to the critical point $x=0$ as $t\to+\infty$ or as $t\to-\infty$, but not exponentially.

UDC: 517.928

MSC: Primary 34K25; Secondary 34D99, 92D25

Received: 26.09.1991

 English version: Russian Academy of Sciences. Sbornik. Mathematics, 1994, 78:1, 175–186

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