W-transform for exponential stability of second order delay differential equations without damping terms

Abstract In this paper a method for studying stability of the equation x ″ ( t ) + ∑ i = 1 m a i ( t ) x ( t − τ i ( t ) ) = 0 $x^{\prime \prime }(t)+\sum_{i=1}^{m}a_{i}(t)x(t- \tau_{i}(t))=0$ not including explicitly the first derivative is proposed. We demonstrate that although the corresponding o...

Full description

Bibliographic Details
Main Authors: Alexander Domoshnitsky, Abraham Maghakyan, Leonid Berezansky
Format: Article
Language:English
Published: SpringerOpen 2017-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1296-0