Special solutions of neutral functional differential equations.

Győri, István; Pituk, Mihály

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Nonlinear delay-differential equations with small lag.

Pinto, Manuel (1997)

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Oscillation criteria for high order delay partial differential equations.

Liu, Xinzhi, Fu, Xilin (1998)

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Behaviour of solutions of linear differential equations with delay

Josef Diblík (1998)

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This contribution is devoted to the problem of asymptotic behaviour of solutions of scalar linear differential equation with variable bounded delay of the form $\dot{x} (t) = - c (t) x (t - τ (t)) (^{*})$ with positive function $c (t) .$ Results concerning the structure of its solutions are obtained with the aid of properties of solutions of auxiliary homogeneous equation $\dot{y} (t) = β (t) [y (t) - y (t - τ (t))]$ where the function $β (t)$ is positive. A result concerning the behaviour of solutions of Eq. (*) in critical case is given and, moreover, an analogy with behaviour of...