Displaying similar documents to “Linear differential equations with unbounded delays and a forcing term.”

Asymptotic estimation for functional differential equations with several delays

Jan Čermák (1999)

Archivum Mathematicum

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We discuss the asymptotic behaviour of all solutions of the functional differential equation y ' ( x ) = ∑ i = 1 m a i ( x ) y ( τ i ( x ) ) + b ( x ) y ( x ) , where b ( x ) < 0 . The asymptotic bounds are given in terms of a solution of the functional nondifferential equation ∑ i = 1 m | a i ( x ) | ω ( τ i ( x ) ) + b ( x ) ω ( x ) = 0 .