- Universal Journal of Mathematics and Applications
- Vol: 2 Issue: 1
- The Existence of a Global Attractor for one Fourth Order Hyperbolic Equation with Memory Operator
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 : 9 | Download : 2
Publication Date : 2019-03-20
Article Type : Research
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