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

Year 2019, Volume: 2 Issue: 1, 36 - 41, 20.03.2019

Sevda Isayeva

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

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

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