Yazar "Yildiz, Mustafa Kemal" seçeneğine göre listele

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    Oscillation and Asymptotic Behaviour of a Higher-Order Nonlinear Neutral-Type Functional Differential Equation with Oscillating Coefficients
    (Hindawi Publishing Corporation, 2011) Yildiz, Mustafa Kemal; Karaman, Emrah; Durur, Hulya
    We will study oscillation of bounded solutions of higher-order nonlinear neutral delay differential equations of the following type: [y(t) + p(t)f(y)(tau(t)))]((n)) + q(t)h(y(sigma(t))) = 0, t >= t(0), t is an element of R, where p is an element of C([t(0),infinity),R), lim(t) (->) (infinity)p(t) = 0, q is an element of C([t(0),infinity), R(+)), tau(t), sigma(t) is an element of C([t(0), infinity),R), tau(t), sigma(t) < t, lim(t) (->) (infinity)tau(t), sigma(t) = infinity, and f, h is an element of C(R, R). We obtain sufficient conditions for the oscillation of all solutions of this equation.
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    Oscillatory Behavior Of A Higher-Order Nonlinear Neutral Type Functional Difference Equation With Oscillating Coefficients
    (Tsing Hua Univ, Dept Mathematics, 2014) Karaman, Emrah; Yildiz, Mustafa Kemal
    In this work, we shall consider oscillation of bounded solutions of higher-order nonlinear neutral delay difference equations of the following type Delta(n)[y (t) + p (t) f (y(tau(t)))] + q (t) h (y (sigma (t))) = 0,t is an element of N, where n is an element of{2,3,...} is fixed and can take both odd and even values, {p(t)}(t=1)(infinity) is a sequence of reals such that lim(t ->infinity) p(t) = 0, {q(t)}(t=1)(infinity) is a nonnegative sequence of reals, and {tau(t)}(t=1)(infinity) and {sigma(t)}(t=1)(infinity) are sequences of integers tending to infinity asymptotically and bounded above by {t}(t=1)(infinity), and f, h is an element of C(R,R).