The Schröder equation and asymptotic properties of linear delay differential equations.

Čermák, Jan

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Displaying similar documents to “The Schröder equation and asymptotic properties of linear delay differential equations.”

Linear differential equations with unbounded delays and a forcing term.

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The paper discusses the asymptotic properties of solutions of the scalar functional differential equation $y^{'} (x) = a y (τ (x)) + b y (x), x \in [x_{0}, \infty]$ . Asymptotic formulas are given in terms of solutions of the appropriate scalar functional nondifferential equation.

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We discuss the asymptotic behaviour of all solutions of the functional differential equation $y^{'} (x) = \sum_{i = 1}^{m} a_{i} (x) y (τ_{i} (x)) + b (x) y (x),$ where $b (x) < 0$ . The asymptotic bounds are given in terms of a solution of the functional nondifferential equation $\sum_{i = 1}^{m} | a_{i} (x) | ω (τ_{i} (x)) + b (x) ω (x) = 0 .$

Linear differential equations with several unbounded delays

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Displaying similar documents to “The Schröder equation and asymptotic properties of linear delay differential equations.”

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