Oscillation of second order impulsive differential equation

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2001

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Saryal, Fatma Sönmez

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https://hdl.handle.net/11511/12377

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Graduate School of Natural and Applied Sciences, Thesis

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Oscillation of Second-Order Sublinear Impulsive Differential Equations Zafer, A. (Hindawi Limited, 2011) Oscillation criteria obtained by Kusano and Onose (1973) and by Belohorec (1969) are extended to second-order sublinear impulsive differential equations of Emden-Fowler type: x ''(t) + p(t)vertical bar x(tau(t))vertical bar(alpha-1)x(tau(t)) = 0, t not equal theta(k); Delta x'(t)vertical bar(t=theta k) + q(k)vertical bar x(tau(theta(k)))vertical bar(alpha-1)x(tau(theta(k))) = 0; Delta x(t)vertical bar(t=theta k) = 0, (0 < alpha < 1) by considering the cases tau(t) <= t and tau(t) = t, respectively. Examples...
Oscillation of functional differential equations Yılmaz(Şahiner), Yeter; Zafer, Ağacık; Department of Mathematics (2000)
Oscillation of higher order neutral type difference equations Zafer, Ağacık (1995-08-11) In this work we are concerned with oscillation of solutions of the neutral difference equation of the form
Oscillation of Second-Order Mixed-Nonlinear Delay Dynamic Equations Unal, M.; Zafer, Ağacık (Springer Science and Business Media LLC, 2010-01-01) New oscillation criteria are established for second-order mixed-nonlinear delay dynamic equations on time scales by utilizing an interval averaging technique. No restriction is imposed on the coefficient functions and the forcing term to be nonnegative.
Oscillation of fourth-order nonlinear neutral delay dynamic equations Grace, S. R.; Zafer, Ağacık (2015-04-01) In this work we establish some new sufficient conditions for oscillation of fourth-order nonlinear neutral delay dynamic equations of the form (a(t)([x(t) - p(t) x(h(t))](Delta Delta Delta))(alpha))(Delta) + q(t)x(beta)(g(t)) = 0, t is an element of [t(0),infinity) T, where alpha and beta are quotients of positive odd integers with beta <= alpha.

Citation Formats

F. S. Saryal, “Oscillation of second order impulsive differential equation,” Middle East Technical University, 2001.