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Stability properties of a discretized neutral delay differential equation

In: Tatra Mountains Mathematical Publications, vol. 54, no. 1
Jana Hrabalová
Detaily:
Rok, strany: 2013, 83 - 92
Kľúčové slová:
delay differential and difference equation, neutral type, asymptotic stability, the Euler method
O článku:
The paper discusses the asymptotic stability region of a discretization of a linear neutral delay differential equation

$$ {x\prime}(t) = a x(t-τ) + b {x\prime}(t-τ). $$

We present necessary and sufficient conditions specifying this region and describe some of its properties.
Ako citovať:
ISO 690:
Hrabalová, J. 2013. Stability properties of a discretized neutral delay differential equation. In Tatra Mountains Mathematical Publications, vol. 54, no.1, pp. 83-92. 1210-3195.

APA:
Hrabalová, J. (2013). Stability properties of a discretized neutral delay differential equation. Tatra Mountains Mathematical Publications, 54(1), 83-92. 1210-3195.