Periodic solutions of nth order delay Rayleigh equations
نویسندگان
چکیده
منابع مشابه
ON THE PERIODIC SOLUTIONS OF A CLASS OF nTH ORDER NONLINEAR DIFFERENTIAL EQUATIONS *
The nth order differential equation x + c (t )x + ƒ( t,x) = e(t),n>3 is considered. Using the Leray-Schauder principle, it is shown that under certain conditions on the functions involved, this equation possesses a periodic solution.
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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.
متن کاملon the periodic solutions of a class of nth order nonlinear differential equations *
the nth order differential equation x + c (t )x + ƒ( t,x) = e(t),n>3 is considered. using the leray-schauder principle, it is shown that under certain conditions on the functions involved, this equation possesses a periodic solution.
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where n >, 2, a: [0, 00) + [0, a~), q: [0, co) --+ (-00, co), andf: (--co, 03) + (-00, CQ). We assume a(l), q(t), andf( x are continuous, q(t) < t for all t > 0, q(t) 3 co ) as t ---f co, and xf(x) > 0 for x # 0. Usually, a condition of monotonicity on f is needed in order to obtain results for Eq. (1) analogous to those of an ordinary differential equation of the same type. Many authors observ...
متن کاملExistence of Almost Periodic Solutions to Nth-Order Neutral Differential Equations with Piecewise Constant Arguments
and Applied Analysis 3 Now one rewrites 1.1 as the following equivalent system ( x t px t − 1 )′ y1 t , 2.31 y′ 1 t y2 t , 2.32 .. .. y′ N−2 t yN−1 t , 2.3N−1 y′ N−1 t qx t f t . 2.3N 2.3 Let x t , y1 t , . . . , yN−1 t be solutions of system 2.3 on , for n ≤ t < n 1, n ∈ , using 2.3N we obtain yN−1 t yN−1 n qx n t − n ∫ t
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 2002
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap78-3-4