Browsing Matematik Bölümü by Author "Mert, Raziye"

Now showing items 1-9 of 9

A halanay-type inequality on time scales in higher dimensional spaces

Baoguo, Jia; Erbe, Lynn; Mert, Raziye (Element, 2014-07)

In this paper, we investigate a certain class of Halanay-type inequalities on time scales in higher dimensional spaces. By means of the obtained inequality, we derive some new global stability conditions for linear delay ...
A necessary and sufficient condition for oscillation of second order sublinear delay dynamic equations

Mert, Raziye; Ağacık, Zafer (Amer Inst Mathematical Sciences-Aims, 2011-09)

Time scale calculus approach allows one to treat the continuous, discrete, as well as more general systems simultaneously. In this article we use this tool to establish a necessary and sufficient condition for the oscillation ...
Comparison theorems for even order dynamic equations on time scales

Baoguo, Jia; Erbe, Lynn; Mert, Raziye (Dynamic Publishers, 2014-09)

Consider the following pair of even order linear dynamic equations on a time scale (0.1) x(Delta n)(t) + p(t)x(t) = 0, (0.2) x(Delta n)(t) + q(t)x(t) = 0, where p, q is an element of C-rd(T,R+), n is even, T is a ...
On disconjugacy and stability criteria for discrete Hamiltonian systems

Mert, Raziye; Zafer, A. (Pergamon-Elsevier Science Ltd, 2011-10)

By making use of new Lyapunov type inequalities, we establish disconjugacy and stability criteria for discrete Hamiltonian systems. The stability criteria are given when the system is periodic
Oscillation of even order nonlinear delay dynamic equations on time scales

Erbe, Lynn; Mert, Raziye; Peterson, Allan; Ağacık, Zafer (Springer Heidelberg, 2013-03)

One of the important methods for studying the oscillation of higher order differential equations is to make a comparison with second order differential equations. The method involves using Taylor's Formula. In this paper ...
Oscillation of higher-order neutral dynamic equations on time scales

Mert, Raziye (Springer, 2012)

In this article, using comparison with second-order dynamic equations, we establish sufficient conditions for oscillatory solutions of an nth-order neutral dynamic equation with distributed deviating arguments. The arguments ...
Oscillatory behavior of higher-order neutral type dynamic equations

Grace, Siad R.; Mert, Raziye; Ağacık, Zafer (Univ Szeged, Bolyai Institue, 2013)

The oscillation behavior of solutions for higher-order delay dynamic equations of neutral type is investigated by making use of comparison with second-order dynamice quations. The method can be utilized to study other types ...
Spectral parameter power series for Sturm-Liouville equations on time scales

Erbe, Lynn; Mert, Raziye; Peterson, Allan (Elsevier Sci Inc, 2012-03-15)

We will derive formulas for finding two linearly independent solutions of the Sturm-Liouville dynamic equation. We will give several examples. In particular, the q-difference equation which has important applications in ...
Time scale extensions of a theorem of Wintner on systems with asymptotic equilibrium

Mert, Raziye; Zafer, A. (Taylor&Francis Ltd, 2011)

We consider quasilinear dynamic systems of the form[image omitted]where is a time scale, and provide extensions of a theorem of Wintner on systems with asymptotic equilibrium to arbitrary time scales. More specifically, ...

Now showing items 1-9 of 9

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Browsing Matematik Bölümü by Author "Mert, Raziye"

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