Asymptotic Behavior of Solutions of a Fourth Order Nonlinear Differential Equation
نویسندگان
چکیده
منابع مشابه
Periodic solutions of fourth-order delay differential equation
In this paper the periodic solutions of fourth order delay differential equation of the form $ddddot{x}(t)+adddot{x}(t)+f(ddot{x}(t-tau(t)))+g(dot{x}(t-tau(t)))+h({x}(t-tau(t)))=p(t)$ is investigated. Some new positive periodic criteria are given.
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We study the fourth-order nonlinear differential equation ` p(t)|x′′(t)|α−1 x′′(t) ́′′ + q(t)|x(t)|β−1 x(t) = 0, α > β, with regularly varying coefficient p, q satisfying Z ∞ a t “ t p(t) ”1/α dt <∞. in the framework of regular variation. It is shown that complete information can be acquired about the existence of all possible intermediate regularly varying solutions and their accurate asymptoti...
متن کاملperiodic solutions of fourth-order delay differential equation
in this paper the periodic solutions of fourth order delay differential equation of the form $ddddot{x}(t)+adddot{x}(t)+f(ddot{x}(t-tau(t)))+g(dot{x}(t-tau(t)))+h({x}(t-tau(t)))=p(t)$ is investigated. some new positive periodic criteria are given.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1977
ISSN: 0002-9939
DOI: 10.2307/2041992