Behavior near constant solutions of functional differential equations
โ Scribed by Jack K Hale
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 856 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we consider a sufficient condition for W t, x t to approach zero ลฝ . as t ยช ฯฑ, where x t is a solution of a non-autonomous functional differential ลฝ . equation with finite delays and W t, x is a so-called Lyapunov function. We shall show that in the applications this provides useful in
We investigate the asymptotic behavior, the oscillatory character and the periodic nature of solutions of the retarded and advanced equation where the argument deviation is given by r(t) = t -2[3 Here, [.] denotes the usual "greatest-integer map". And, besides discussing explicit conditions for suc