Prof. George E Chatzarakis
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Academic Career Length
24Years (2003-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
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Journal Article
Irena JadlovskáGeorge E ChatzarakisJDJozef Džurina
Jozef DžurinaSGSaid R. Grace
Said R. GraceIn this paper, effective oscillation criteria for third-order delay differential equations of the form, ensuring that any nonoscillatory solution tends to zero asymptotically, are established. The results become sharp when applied to a Euler-type delay differential equation and, to the best of our knowledge, improve all existing results from the literature. Examples are provided to illustrate the importance of the main results.
Journal Article
In the paper, we study the oscillatory and asymptotic properties of solutions to a class of third-order linear neutral delay differential equations with noncanonical operators. Via the application of comparison principles with associated first and second-order delay differential inequalities, we offer new criteria for the oscillation of all solutions to a given differential equation. Our technique essentially simplifies the process of investigation and reduces the number of conditions required in previously known results. The strength of the newly obtained results is illustrated on the Euler type equations.
6 February 2021 in Acta Mathematica Hungarica
Journal Article
1 September 2016 in Applied Mathematics Letters
Journal Article
HAHAYDAR AKCA
HAYDAR AKCAGeorge E Chatzarakis
Ioannis Stavroulakis24 November 2013 in Aequationes mathematicae
Journal Article
George E Chatzarakis
Sandra PinelasISI. P. Stavroulakis
I. P. Stavroulakis18 January 2012 in Open Mathematics
Journal Article
George E ChatzarakisISIoannis P. Stavroulakis
Ioannis P. Stavroulakis
Consider the first order linear difference equation with general advanced argument and variable coefficients of the form $$\nabla x(n) - p(n)x(\tau (n)) = 0, n \geqslant 1,$$ where {p(n)} is a sequence of nonnegative real numbers, {τ(n)} is a sequence of positive integers such that $$\tau (n) \geqslant n + 1, n \geqslant 1,$$ and ▿ denotes the backward difference operator ▿x(n) = x(n) − x(n − 1). Sufficient conditions which guarantee that all solutions oscillate are established. Examples illustrating the results are given.
About Me
Prof. George E. Chatzarakis received a Dipl. Eng. degree and a Ph.D. degree in Electrical Engineering from the National Technical University of Athens (NTUA), Greece, in 1986 and 1990, respectively. In 1992, he received the Certificate of Pedagogical and Teaching Competence from the Pedagogical Technical School of Athens (PATES/SELETE). Also, in 2011, he received a Ph.D. degree in Mathematics from the Department of Mathematics at the University of Ioannina. Currently, he is a Professor and Head of the Department of Electrical and Electronic Engineering Educators of the School of Pedagogical & Technological Education (ASPETE), Athens, Greece. His research interests include electric circuits, microwave theory, telecommunications, engineering pedagogy, course development and qualitative theory of difference equations.