Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Setenay Akduman"'
Autor:
Setenay Akduman, Alexander Pankov
Publikováno v:
Electronic Journal of Differential Equations, Vol 2018, Iss 162,, Pp 1-12 (2018)
The article studies the exponential localization of eigenfunctions associated with isolated eigenvalues of Schrodinger operators on infinite metric graphs. We strengthen the result obtained in [3] providing a bound for the rate of exponential loca
Externí odkaz:
https://doaj.org/article/56a558990c8940b6bb491fff01f65302
Autor:
Setenay Akduman, Alexander Pankov
Publikováno v:
Nonlinear Analysis. 184:258-272
The paper deals with nonlinear Schrodinger equations on infinite metric graphs. We assume that the linear potential is infinitely growing. We prove an existence and multiplicity result that covers both self-focusing and defocusing cases. Furthermore,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd45973f8ae9cc664eb3a2c87df165ad
https://doi.org/10.1016/j.na.2019.02.020
https://doi.org/10.1016/j.na.2019.02.020
Autor:
Setenay Akduman, Sedef Karakiliç
Publikováno v:
SEVENTH INTERNATIONAL CONFERENCE ON NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES 2020).
In this study, we consider the d-dimensional polyharmonic matrix operator H(l,V)u=(−Δ)lu+V(x)u, where (−Δ)l is a diagonal s×s matrix, whose diagonal elements are the scalar polyharmonic operators, V is the operator of multiplication by a symme
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f9e46261bd314f16f8db512bb9fbed3
https://doi.org/10.1063/5.0040407
https://doi.org/10.1063/5.0040407
Publikováno v:
Volume: 69, Issue: 1 486-510
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
We will discuss the asymptotic behaviour of the eigenvalues of a Schrodinger operator with a matrix potential defined by the Neumann boundary condition in L-2(m) (F), where F is a d-dimensional rectangle and the potential is an m x m matrix with m >=
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8740e9def5419c42335720d36e797aad
https://dergipark.org.tr/tr/pub/cfsuasmas/issue/49221/577438
https://dergipark.org.tr/tr/pub/cfsuasmas/issue/49221/577438
Autor:
Setenay Akduman, Alexander Pankov
Publikováno v:
Complex Variables and Elliptic Equations. 62:957-966
This paper concerns Schrodinger operators on infinite metric graphs. We show that, under natural assumptions, eigenfunctions corresponding to isolated eigenvalues of finite multiplicity decay at infinity exponentially fast.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6d61465211460594ed62a7c6aabdeb5c
https://doi.org/10.1080/17476933.2016.1254204
https://doi.org/10.1080/17476933.2016.1254204
Autor:
Alexander Pankov, Setenay Akduman
Publikováno v:
Applicable Analysis. 96:2149-2161
The paper is devoted to Schrodinger operators on infinite metric graphs. We suppose that the potential is locally integrable and its negative part is bounded in certain integral sense. First, we obtain a description of the bottom of the essential spe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f0d1a271bb6aaa933497b99c9394aca
https://doi.org/10.1080/00036811.2016.1207247
https://doi.org/10.1080/00036811.2016.1207247
Autor:
SETENAY AKDUMAN1 setenayakduman@gmail.com, CENAP ÖZEL1 cenap.ozel@gmail.com, ADEM KILIÇMAN2 akilic@upm.edu.my
Publikováno v:
Journal of Mathematical Analysis. 2015, Vol. 6 Issue 5, p43-49. 7p.
Autor:
Sedef Karakiliç, Setenay Akduman
We consider a Schr\"odinger Operator with a matrix potential defined in $L_2^m(F)$ by the differential expression\begin{equation*} L(\phi(x))=(-\Delta+V(x))\phi(x) \end{equation*}and the Neumann boundary condition, where $F$ is the $d$ dimensional re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65f1bdfd4523d057717e0f8edacd8452
http://arxiv.org/abs/1409.4718
http://arxiv.org/abs/1409.4718
Publikováno v:
International Journal of Computational Systems Engineering. 2:107
A classical rough set theory was given by Pawlak (1982). Since then rough set theory has been investigated by many researchers. Rough set theory can be viewed as an approach to vagueness. Many scientific fields find vagueness concepts interesting; th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::714756d3353832dd4612448de2ccf913
https://doi.org/10.1504/ijcsyse.2015.077056
https://doi.org/10.1504/ijcsyse.2015.077056