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## The Existence of a Global Attractor for one Fourth Order Hyperbolic Equation with Memory Operator

#### Sevda Isayeva [1]

##### 32 70

In this work, the initial-boundary 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 Mathematics Articles Orcid: 0000-0002-0872-1350Author: Sevda Isayeva (Primary Author)Institution: Baku State University, Baku, AzerbaijanCountry: Azerbaijan
 Bibtex @research article { ujma418626, journal = {Universal Journal of Mathematics and Applications}, issn = {2619-9653}, 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), 36-41. 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): 36-41 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): 36-41 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 - 2619-9653- 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 2619-9653- %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): 36-41. https://doi.org/10.32323/ujma.418626