The Existence of a Global Attractor for one Fourth Order Hyperbolic Equation with Memory Operator
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In this work, the initialboundary value problem for one fourth order semilinear hyperbolic equation with memory operator is considered (here the memory operator is under the operator of differentiation with respect to time variable). The asymptotic compactness of semigroup generated by this problem is proved. The existence of a minimal global attractor for this problem is also proved.
Bounded absorbing set, Memory operator, Minimal global attractor, Semilinear hyperbolic equation
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Primary Language 
en

Subjects 
Mathematics

Journal Section 
Articles 
Authors 
Orcid: 0000000208721350 Author: Sevda Isayeva (Primary Author) Institution: Baku State University, Baku, Azerbaijan Country: Azerbaijan

Bibtex 
@research article { ujma418626,
journal = {Universal Journal of Mathematics and Applications},
issn = {26199653},
address = {Emrah Evren KARA},
year = {2019},
volume = {2},
pages = {36  41},
doi = {10.32323/ujma.418626},
title = {The Existence of a Global Attractor for one Fourth Order Hyperbolic Equation with Memory Operator},
key = {cite},
author = {Isayeva, Sevda}
} 
APA 
Isayeva, S
.
(2019).
The Existence of a Global Attractor for one Fourth Order Hyperbolic Equation with Memory Operator.
Universal Journal of Mathematics and Applications, 2 (1),
3641.
DOI: 10.32323/ujma.418626 
MLA 
Isayeva, S
.
"The Existence of a Global Attractor for one Fourth Order Hyperbolic Equation with Memory Operator".
Universal Journal of Mathematics and Applications 2 (2019): 3641 <http://dergipark.org.tr/ujma/issue/44032/418626>

Chicago 
Isayeva, S
.
"The Existence of a Global Attractor for one Fourth Order Hyperbolic Equation with Memory Operator".
Universal Journal of Mathematics and Applications 2 (2019): 3641 
RIS 
TY  JOUR
T1  The Existence of a Global Attractor for one Fourth Order Hyperbolic Equation with Memory Operator
AU  Sevda Isayeva
Y1  2019
PY  2019
N1  doi: 10.32323/ujma.418626 DO  10.32323/ujma.418626 T2  Universal Journal of Mathematics and Applications
JF  Journal
JO  JOR
SP  36
EP  41
VL  2
IS  1
SN  26199653
M3  doi: 10.32323/ujma.418626 UR  https://doi.org/10.32323/ujma.418626 Y2  2018
ER 

EndNote 
%0 Universal Journal of Mathematics and Applications The Existence of a Global Attractor for one Fourth Order Hyperbolic Equation with Memory Operator
%A Sevda Isayeva
%T The Existence of a Global Attractor for one Fourth Order Hyperbolic Equation with Memory Operator
%D 2019
%J Universal Journal of Mathematics and Applications
%P 26199653
%V 2
%N 1
%R doi: 10.32323/ujma.418626 %U 10.32323/ujma.418626 
ISNAD 
Isayeva, Sevda
.
"The Existence of a Global Attractor for one Fourth Order Hyperbolic Equation with Memory Operator". Universal Journal of Mathematics and Applications
2
/
1
(March 2019):
3641. https://doi.org/10.32323/ujma.418626 