Oscillation criteria for first and second orer impulsive delay differential equations

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1999

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ALZabut, Jehad

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https://hdl.handle.net/11511/2286

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Graduate School of Natural and Applied Sciences, Thesis

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Oscillation of nonlinear impulsive partial difference equations with continuous variables Agarwal, R. P.; KARAKOÇ, FATMA; Zafer, Ağacık (Informa UK Limited, 2012-01-01) By employing a difference inequality without impulses, we establish several sufficient conditions for the oscillation of solutions of a class of nonlinear impulsive partial difference equations with continuous variables.
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...

Citation Formats

J. ALZabut, “Oscillation criteria for first and second orer impulsive delay differential equations,” Middle East Technical University, 1999.