Differential Systems Of Neutral Type Research Articles

On a linear differential system of neutral type

AbstractThis paper is concerned with the neutral type differential system with derivating arguments. By decomposing the space of initial functions into classes, it is derived that, for each class, the space of corresponding solutions is of finite dimension. The case of common fixed points of the arguments is also studied.

Stability of linear differential systems of neutral type

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Eventual stability of differential systems of neutral type: PMM vol. 40, n≗1, 1976, pp. 44–54

For differential systems of neutral type we examine one of the formulations of the finite-time interval stability problem, i.e., technical stability. By the Liapunov-Krasovskii method [1–3] we obtain sufficient conditions for technical stability and for the so-called contracting technical stability. Similar investigations for ordinary differential equations were carried out in [4] and for equations with a lagging argument, in [5, 6].