𝔖 Bobbio Scriptorium
✦   LIBER   ✦

T-periodic solutions and a priori bounds

✍ Scribed by Y.N Raffoul

Book ID
104350835
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
515 KB
Volume
32
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

✦ Synopsis

Schaefer's fixed-point theorem, enabling us to show that if there is an a priori bound on all possible T-periodic solutions of a Volterra-type difference equation, then there is a Tperiodic solution. The a priori bound is established by means of a Lyapunov functional on which no bound is required. Thus, in addition to the periodic solution, the equation may have both bounded and unbounded solutions.

πŸ“œ SIMILAR VOLUMES

A priori bounds for periodic solutions o
A priori bounds for periodic solutions of a delay Rayleigh equation
✍ Gen-Qiang Wang; Sui Sun Cheng πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 185 KB

A pr/or/ bounds are established for periodic solutions of a Rayleigh equation with delay. By means of these bounds, an existence theorem for periodic solutions can be obtained by means of Mawhin's continuation theorem. (j~) 1999 Elsevier Science Ltd. All rights reserved.