Jan Čermák, Petr Kundrát, "Linear differential equations with unbounded delays and a forcing term", Abstract and Applied Analysis, vol. 2004, Article ID 107032, 9 pages, 2004. https://doi.org/10.1155/S1085337504306020
Linear differential equations with unbounded delays and a forcing term
The paper discusses the asymptotic behaviour of all solutions of the differential equation , , with a positive continuous function , continuous functions , , and continuously differentiable unbounded lags. We establish conditions under which any solution of this equation can be estimated by means of a solution of an auxiliary functional equation with one unbounded lag. Moreover, some related questions concerning functional equations are discussed as well.
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