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

Sevda Isayeva

doi:10.32323/ujma.418626

EN

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

Abstract

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.

Keywords

Bounded absorbing set,Memory operator,Minimal global attractor,Semilinear hyperbolic equation

References

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[10] R. Bouc, Modele mathematique d’hysteresis et application aux systemes a un degre de liberte, Th´ese, Marseille, 1966.

[11] O. A. Ladyzhenskaya, On the determination of minimal attractors for the Navier-Stokes equations and other partial differential equations, Uspekhi Mat. Nauk 42(6) (1987), 25–60. English translation: Russian Math. Surveys 42(6) (1987), 27–73.
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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Sevda Isayeva ^*
0000-0002-0872-1350
Azerbaijan

Publication Date

March 20, 2019

Submission Date

April 26, 2018

Acceptance Date

November 29, 2018

Published in Issue

Year 2019 Volume: 2 Number: 1

DOI

https://doi.org/10.32323/ujma.418626

IZ

https://izlik.org/JA69RS33BN

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. https://doi.org/10.32323/ujma.418626

AMA

1.Isayeva S. The Existence of a Global Attractor for one Fourth Order Hyperbolic Equation with Memory Operator. Univ. J. Math. Appl. 2019;2(1):36-41. doi:10.32323/ujma.418626

Chicago

Isayeva, Sevda. 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. https://doi.org/10.32323/ujma.418626.

EndNote

Isayeva S (March 1, 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.

IEEE

[1]S. Isayeva, “The Existence of a Global Attractor for one Fourth Order Hyperbolic Equation with Memory Operator”, Univ. J. Math. Appl., vol. 2, no. 1, pp. 36–41, Mar. 2019, doi: 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 1, 2019): 36-41. https://doi.org/10.32323/ujma.418626.

JAMA

1.Isayeva S. The Existence of a Global Attractor for one Fourth Order Hyperbolic Equation with Memory Operator. Univ. J. Math. Appl. 2019;2:36–41.

MLA

Isayeva, Sevda. “The Existence of a Global Attractor for One Fourth Order Hyperbolic Equation With Memory Operator”. Universal Journal of Mathematics and Applications, vol. 2, no. 1, Mar. 2019, pp. 36-41, doi:10.32323/ujma.418626.

Vancouver

1.Sevda Isayeva. The Existence of a Global Attractor for one Fourth Order Hyperbolic Equation with Memory Operator. Univ. J. Math. Appl. 2019 Mar. 1;2(1):36-41. doi:10.32323/ujma.418626