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

Authors : Sevda ISAYEVA

Pages : 36-41

Doi:10.32323/ujma.418626

View : 16 | Download : 4

Publication Date : 2019-03-20

Article Type : Research Paper

Abstract :In this work, the initial-boundary value problem for one fourth order semilinear hyperbolic equation with memory operator is considered insert ignore into journalissuearticles values(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