Nonoscillation and exponential stability of the second order delay differential equation with damping

In: Mathematica Slovaca, vol. 67, no. 4

Leonid Berezansky - Alexander Domoshnitsky - Mikhail Gitman - Valery Stolbov

Details:

Year, pages: 2017, 957 - 966

Keywords:

nonoscillation, exponential stability, second order delay equation, damping term

DOI: https://doi.org/10.1515/ms-2017-0024

About article:

For a delay differential equation \[\ddot{x}(t) + a(t)\dot{x}(t)+ ∑_k=1^m b_k(t)x(g_k(t))=0, g_k(t)≤ t,\] a generalized Riccati inequality is constructed for nonoscillation and exponential stability of the differential equation.

How to cite:

ISO 690:

Berezansky, L., Domoshnitsky, A., Gitman, M., Stolbov, V. 2017. Nonoscillation and exponential stability of the second order delay differential equation with damping. In Mathematica Slovaca, vol. 67, no.4, pp. 957-966. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0024

APA:

Berezansky, L., Domoshnitsky, A., Gitman, M., Stolbov, V. (2017). Nonoscillation and exponential stability of the second order delay differential equation with damping. Mathematica Slovaca, 67(4), 957-966. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0024

About edition:

Published: 28. 8. 2017