Bifurcation of periodic solutions for a semilinear wave equation
✍ Scribed by Hansjörg Kielhöfer
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 653 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
In this paper, we consider the semilinear elliptic equation For p=2NÂ(N&2), we show that there exists a positive constant +\\*>0 such that (V) + possesses at least one solution if + # (0, +\\*) and no solutions if +>+\\*. Furthermore, (V) + possesses a unique solution when +=+\\*, and at least two s
We study S-asymptotically x-periodic mild solutions of the semilinear Volterra equation u (t) = (a \* Au)(t)+f(t, u(t)), considered in a Banach space X, where A is the generator of an (exponentially) stable resolvent family. In particular, we extend the recent results for semilinear fractional integ