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The behavior of solutions of second order delay differential equations. (English) Zbl 1118.34074

Summary: We study the behavior of solutions of second-order delay differential equation \[ y''(t)=p_1y'(t)+p_2y'(t-\tau)+q_1y(t)+q_2y(t-\tau), \] where \(p_1,p_2,q_1,q_2\) are real numbers, \(\tau\) is positive real number. A basic theorem on the behavior of solutions is established. As a consequence of this theorem, a stability criterion is obtained.

MSC:

34K25 Asymptotic theory of functional-differential equations
34K06 Linear functional-differential equations
34K20 Stability theory of functional-differential equations
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