Oscillatory behavior of solutions of difference equations

Download
1999
Yalçın, Yasemin

Suggestions

Oscillatory behavior of integro-dynamic and integral equations on time scales
Grace, S. R.; Zafer, Ağacık (2014-02-01)
By making use of asymptotic properties of nonoscillatory solutions, the oscillation behavior of solutions for the integro-dynamic equation
Oscillation of second order dynamic equations on time scales
Kütahyalıoğlu, Ayşen; Ağacık, Zafer; Department of Mathematics (2004)
During the last decade, the use of time scales as a means of unifying and extending results about various types of dynamic equations has proven to be both prolific and fruitful. Many classical results from the theories of differential and difference equations have time scale analogues. In this thesis we derive new oscillation criteria for second order dynamic equations on time scales.
Oscillation of second order matrix equations on time scales
Selçuk, Aysun; Ağacık, Zafer; Department of Mathematics (2004)
The theory of time scales is introduced by Stefan Hilger in his PhD thesis in 1998 in order to unify continuous and discrete analysis. In our thesis, by making use of the time scale calculus we study the oscillation of nonlinear matrix differential equations of second order. the first chapter is introductory in nature and contains some basic definitions and tools of the time scales calculus, while certain well-known results have been presented with regard to oscillation of the solutions of second order matr...
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 Higher-Order Neutral-Type Periodic Differential Equations with Distributed Arguments
Dahiya, R. S.; Zafer, A. (Springer Science and Business Media LLC, 2007)
We derive oscillation criteria for general-type neutral differential equations [x(t) +αx(t− τ) +βx(t +τ)](n) = δ b ax(t − s)dsq1(t,s) + δ d c x(t + s)dsq2(t,s) = 0, t ≥ t0, where t0 ≥ 0, δ = ±1, τ > 0, b>a ≥ 0, d>c ≥ 0, α and β are real numbers, the functions q1(t,s) : [t0,∞) × [a,b] → R and q2(t,s):[t0,∞) × [c,d] → R are nondecreasing in s for each fixed t, and τ is periodic and continuous with respect to t for each fixed s. In certain special cases, the results obtained generalize and improve s...
Citation Formats
Y. Yalçın, “Oscillatory behavior of solutions of difference equations,” Middle East Technical University, 1999.