This paper is devoted to the discussion of the number of T -periodic solutions for the forced Duffing equation, x + kx + g t x = s 1 + h t , with g t x being a continuous function by using the degree theory, upper and lower solutions method, and the twisting theorem.
A lower bound on the critical friction coefficient for periodic forces
โ Scribed by M.J. Renne; C.G. van Walraven
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 489 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0167-2789
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๐ SIMILAR VOLUMES
The critical probability for site percolation on the square lattice is not known exactly. Several authors have given rigorous upper and lower bounds. Some recent lower bounds are (each displayed here with the first three digits) 0.503 (Toth [13]), 0.522 (Zuev [15]), and the best lower bound so far,
## Abstract A critical set is a partial latin square that has a unique completion to a latin square, and is minimal with respect to this property. Let __scs__(__n__) denote the smallest possible size of a critical set in a latin square of order __n__. We show that for all __n__, $scs(n)\geq n\lfloo