Stability criteria for certain second-order delay differential equations with mixed coefficients

Authors:
Baruch Cahlon;Darrell Schmidt
Affiliations:
Department of Mathematics and Statistics, Oakland University, Rochester, MI;Department of Mathematics and Statistics, Oakland University, Rochester, MI
Venue:
Journal of Computational and Applied Mathematics
Year:
2004

Citing 4
Cited 4

Stability of some test equations with delay

SIAM Journal on Mathematical Analysis
Stability criteria for second-order dynamical systems involving several time delays

SIAM Journal on Mathematical Analysis
Asymptotic solutions for second order delay differential equations

Nonlinear Analysis: Theory, Methods & Applications
On stability of systems of delay differential equations

Journal of Computational and Applied Mathematics

Stability criteria for certain third-order delay differential equations

Journal of Computational and Applied Mathematics
Stability criteria for certain high odd order delay differential equations

Journal of Computational and Applied Mathematics
Stability criteria for certain third-order delay differential equations

Journal of Computational and Applied Mathematics
Positive solutions of second-order delay differential equations with a damping term

Computers & Mathematics with Applications

Quantified Score

Hi-index	7.29

Visualization

Abstract

In this paper, we study asymptotic stability of the zero solution of the second-order linear delay differential equation: y''(t)=p1y'(t)+p2y'(t - τ)+q1y(t)+q2y(t - τ), where p1p2, q1, and q2 are constants with p1p2 ≥ 0 and q1q2 0 is a constant. In proving our results we make use of Pontryagin's theory of quasi-polynomials.