In this paper we study the boundedness of solutions for the second-order differential equation where F p (s) = |s| p-2 s, p > 1 and ฮฑ, ฮฒ are strictly positive constants satisfying a resonant relation n with n being a positive integer, and ฯ(t, x) is a 2ฯ -periodic function in t. There exists a fun
Boundedness and regularity for a class of solutions of a functional-differential system
โ Scribed by S. D'Asero
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 149 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0362-546X
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โฆ Synopsis
This paper is devoted to the study of properties of a class of solutions (u; u) โ W 1;q 2;p ( ; ; ) ร L q ( ) of functional-di erential system of fourth order. By using suitable test functions, it is possible to organize Moser's method to prove boundedness and H older continuity of solutions u(x) of the di erential part of the system and then using a "lipschitz" property, it obtains the same results for u(x).
๐ SIMILAR VOLUMES
## Abstract In this paper, we are concerned with the problem of boundedness of solutions for the second order differential equation __x__ โณ + __f__ (__x__ )__x__ โฒ + __g__ (__x__ ) = __e__ (__t__ ), where __f__ , __g__ โ __C__ ^โ^(โ) are odd functions and __e__ (__t__ ) โ __C__ ^โ^(โ/โค) is odd. (ยฉ