Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Berrak Özgür"'
Publikováno v:
Advances in Mathematical Physics, Vol 2013 (2013)
The study in this paper mainly concerns the inverse problem of determining an unknown source function in the linear fractional differential equation with variable coefficient using Adomian decomposition method (ADM). We apply ADM to determine the con
Externí odkaz:
https://doaj.org/article/6d4f4a910df342209fbf2dfa4fc094fc
Autor:
Berrak Özgür
Publikováno v:
Volume: 24, Issue: 1 178-182
Sakarya University Journal of Science
Sakarya University Journal of Science
In this paper, a special case for a delayed neural field model is considered. After constructing its characteristic equation a stability analysis is made. Using Routh-Hurwitz criterion, some conditions for characteristic equation are given for the st
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb68575a706d007ede270ee3f0a4b507
https://doi.org/10.16984/saufenbilder.521545
https://doi.org/10.16984/saufenbilder.521545
Autor:
Berrak Özgür
Publikováno v:
Volume: 4, Issue: 1 46-50
Kocaeli Journal of Science and Engineering
Kocaeli Journal of Science and Engineering
In this paper, the stability analysis of the neural field model is studied. The special case for three neuron populations is considered. The work is conducted by finding the characteristic equation of the system first and then investigating the chara
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::179f5027a2854188dcf2f289f217f56f
https://dergipark.org.tr/tr/pub/kojose/issue/60415/852170
https://dergipark.org.tr/tr/pub/kojose/issue/60415/852170
Publikováno v:
Volume: 5, Issue: 2 173-179
New Trends in Mathematical Sciences
New Trends in Mathematical Sciences, Vol 5, Iss 2, Pp 173-179 (2017)
New Trends in Mathematical Sciences
New Trends in Mathematical Sciences, Vol 5, Iss 2, Pp 173-179 (2017)
We consider a linear diffusion equation with a nonlocal boundary condition. We attempt to recover the boundary condition and the solution of diffusion equation for a problem by making use of an over-determination condition of integral type. Explicit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2807a9318c2a011cdf51f6bc0c83397d
https://doi.org/10.20852/ntmsci.2017.165
https://doi.org/10.20852/ntmsci.2017.165
Autor:
Berrak Özgür, Ali Demir
Publikováno v:
Rocky Mountain J. Math. 48, no. 7 (2018), 2337-2346
In this study, we deal with stability for the linearized neural field model for two neuron populations. We determine the asymptotic stability region by using the D-subdivision method for different delay terms including time delays. Also, we find the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7ab662c351b1a1e05a4e9439abecc4ed
https://projecteuclid.org/euclid.rmjm/1544756812
https://projecteuclid.org/euclid.rmjm/1544756812
Publikováno v:
Volume: 47, Issue: 6 1495-1502
Hacettepe Journal of Mathematics and Statistics
Hacettepe Journal of Mathematics and Statistics
In this paper we consider the neural field model for two neural populations. We investigate the properties of D-curves and we give some conditions for asymptotic stability. The asymptotic stability region is determined by using the Stépan's formula.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed9999785d9d395f0f5140728c1091c7
https://doi.org/10.15672/hjms.2017.451
https://doi.org/10.15672/hjms.2017.451
In this article, a new homotopy technique is presented for the mathematical analysis of finding the solution of a first-order inhomogeneous partial differential equation (PDE) u(x)(x, y) + a(x, y)u(y)(x, y) + b(x, y)g(u) = f(x, y). The homotopy pertu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97e69da0526da9d18e586168bc281e1c
https://aperta.ulakbim.gov.tr/record/12375
https://aperta.ulakbim.gov.tr/record/12375