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Stability criteria for a class of stochastic distributed delay systems

Ficak B., Klamka J.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2013

Vol. 61, nr 1

221-228

In the paper linear distributed delay stochastic systems are considered. Using theory of stochastic differential equations sufficient conditions for different kinds of stability are formulated and proved. The article attempts to generalise results presented in the paper [1] and thus theorems proved in [1] become a special case of a generalised approach. The considered class is wider - the function that influence dynamics of a problem can be a real solution of N-degree linear deterministic differential equation. Therefore the generalised reduction technique of distributed delay to lumped delay has to be applied. Criteria for numerous properties of the aforementioned class followed Mao theory designed for point delay systems [2, 3].

The oscillation criteria for nonlinear neutral differential equations

Bater J., Min Y.

Demonstratio Mathematica

2005

Vol. 38, nr 1

69--78

The problem of oscillation of a class of nonlinear neutral type integro-differential equations with distributed delay is discussed. The necessary and sufficient condition and another sufficient criterion for oscillation have been given.

Oscillatory behaviour of the second-order nonlinear neutral defferential equations with distributed delay

Jundong B., Yongzhen H.

Demonstratio Mathematica

1999

Vol. 32, nr 1

21-30

In this paper, the oscillatory behaviour of second-order nonlinear neutral differential equations with distributed delay was examined, some exciting results were obtained which developed some traditional results in history.