Superstability and rigorous asymptotics in singularly perturbed state-dependent delay-differential equations
نویسندگان
چکیده
منابع مشابه
Superstability and rigorous asymptotics in singularly perturbed state-dependent delay-differential equations
We study the singularly perturbed state-dependent delay-differential equation εẋ(t) = −x(t)− kx(t− r), r = r(x(t)) = 1 + x(t), (∗) which is representative of a broader class of such equations of the form εẋ(t) = g(x(t), x(t− r)), r = r(x(t)). It is known that for every sufficiently small ε > 0, equation (∗) possesses at least one so-called slowly oscillating periodic solution, and moreover, the...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2011
ISSN: 0022-0396
DOI: 10.1016/j.jde.2010.10.024