On stability and boundedness of solutions of a certain fourth-order delay differential equation
Using a Razumikhin - type theorem, we deduce sufficient conditions that guarantee the uniform asymptotic stability and boundedness of solutions of a scalar real fourth-order delay differential equation. The Lyapunov function constructed for an ordinary fourth-order differential equation is seen to w...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1989-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171289000724 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | Using a Razumikhin - type theorem, we deduce sufficient conditions that
guarantee the uniform asymptotic stability and boundedness of solutions of a scalar
real fourth-order delay differential equation. The Lyapunov function constructed for
an ordinary fourth-order differential equation is seen to work for the delay system. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |