We consider the problem of multiple existence of 2 -periodic weak solutions to wave equations u(x, t)= h(x, t, u(x, t))+f (x, t) of space dimension 1, where h(x, t, ) is asymptotically linear in both as โ 0 and as | | โ โ. It is shown by variational methods that there exist at least three solutions
Global existence and asymptotic behavior of solutions for a semi-linear wave equation
โ Scribed by Yu-Zhu Wang; Fagui Liu; Yuanzhang Zhang
- Book ID
- 113721425
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 233 KB
- Volume
- 385
- Category
- Article
- ISSN
- 0022-247X
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