Qualitative analysis for a variable delay system of differential equations of second order

C Tunç, O Tunç - Journal of Taibah University for Science, 2019 - Taylor & Francis
This paper analyzes the stability, uniformly stability, asymptotically stability, boundedness,
uniformly boundedness and square integrability of solutions of a system of differential …

Stability to vector Lienard equation with constant deviating argument

C Tunç - Nonlinear Dynamics, 2013 - Springer
In this paper, we consider the vector Liénard equation with the constant deviating argument,
τ> 0, X''(t)+ F\bigl (X (t), X'(t)\bigr) X'(t)+ H\bigl (X (t-τ)\bigr)= P (t) in two cases:(i) P (.)≡ 0,(ii) P …

[PDF][PDF] On the properties of solutions for a system of non-linear differential equations of second order

C Tunç - Computer Science, 2019 - ijmcs.future-in-tech.net
In this paper, we relate with the stability, uniform stability, asymptotic stability, integrability
and boundedness of solutions of a system of nonlinear differential equations of second …

New qualitative results for solutions of functional differential equations of second order

C Tunç, S Erdur - Discrete Dynamics in Nature and Society, 2018 - Wiley Online Library
In this paper, we are concerned with the existence of periodic solutions, stability of zero
solution, asymptotic stability of zero solution, square integrability of the first derivative of …

[PDF][PDF] Some new stability and boundedness results on the solutions of the nonlinear vector differential equations of second order

C Tunc - Iranian Journal of Science, 2006 - journals.shirazu.ac.ir
SOME NEW STABILITY AND BOUNDEDNESS RESULTS ON THE SOLUTIONS OF THE
NONLINEAR VECTOR DIFFERENTIAL EQUATIONS OF SECOND ORDER* C. Page 1 Iranian …

On the asymptotic analysis of bounded solutions to nonlinear differential equations of second order

C Tunç, SA Mohammed - Advances in Difference Equations, 2019 - Springer
In this paper, we consider two different models of nonlinear ordinary differential equations
(ODEs) of second order. We construct two new Lyapunov functions to investigate …

[PDF][PDF] On the boundedness of solutions of a non-autonomous differential equation of second order

C Tunç - Sarajevo Journal of Mathematics, 2011 - researchgate.net
We study the boundedness of the solutions to a non-autonomous differential equation of
second order. With this work, we improve some stability results in the literature of …

Stability and boundedness in multi delay vector Liénard equation

C Tunc - Filomat, 2013 - JSTOR
In this paper, we consider a vector Liénard equation with the multiple deviating arguments.
Based on the Lyapunov-Krasovskii functional approach, the asymptotic stability of the zero …

Existence of periodic solutions to multidelay functional differential equations of second order

C Tunç, R Yazgan - Abstract and Applied Analysis, 2013 - Wiley Online Library
Using Lyapunov‐Krasovskii functional approach, we establish a new result to guarantee the
existence of periodic solutions of a certain multidelay nonlinear functional differential …

[PDF][PDF] Stability and uniform boundedness results for non-autonomous Lienard-type equations with a variable deviating argument

C Tunç - Acta Math. Vietnam, 2012 - journals.math.ac.vn
In this paper, we establish two new results related to the stability and uniform boundedness
of the following non-autonomous Liénard type equation with a variable deviating argument r …