Decay of solutions for a plate equation with p-Laplacian and memory term
In this note we show that the assumption on the memory term g in Andrade [1] can be modified to be $g'(t)leq -xi(t)g(t)$, where $xi(t)$ satisfies $$ xi'(t)leq0,quad int_0^{+infty}xi(t){m d}t=infty. $$ Then we show that rate of decay for the solution is similar to that of the memory...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2012-08-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2012/129/abstr.html |
| Summary: | In this note we show that the assumption on the memory term g in Andrade [1] can be modified to be $g'(t)leq -xi(t)g(t)$, where $xi(t)$ satisfies $$ xi'(t)leq0,quad int_0^{+infty}xi(t){m d}t=infty. $$ Then we show that rate of decay for the solution is similar to that of the memory term. |
|---|---|
| ISSN: | 1072-6691 |