Differential-difference equations of neutral type with Markov perturbations. (Ukrainian. English summary) Zbl 1240.34348
Summary: Differential difference equations of neutral type with parameters depending on a discrete Markov process are considered. Necessary and sufficient conditions for asymptotic stability of solutions are derived.
MSC:
34K20 | Stability theory of functional-differential equations |
34K40 | Neutral functional-differential equations |
34K50 | Stochastic functional-differential equations |
34K27 | Perturbations of functional-differential equations |