The existence and uniqueness are proved for global classical solutions of the spatially periodic Cauchy problem to the following system of parabolic equations s y y β£ y q β£ Ε½ . which was proposed as a substitute for the RayleighαBenard equation and can lead to Lorenz equations.
Almost-periodic solutions to quasilinear evolution equations with a nonlocal nonlinearity
β Scribed by Albert Milani; Gabriella Pinter
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 114 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.733
No coin nor oath required. For personal study only.
β¦ Synopsis
We prove an existence and uniqueness result for almost-periodic solutions to the quasilinear evolution equations ( 1) and ( 5).
π SIMILAR VOLUMES
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## Communicated by X. Wang In this work, we prove the existence of global attractor for the nonlinear evolution equation . This improves a previous result of Xie and Zhong in (J. Math. Anal. Appl. 2007; 336:54-69.) concerning the existence of global attractor in H 1 0 (X)ΓH 1 0 (X) for a similar
## Abstract In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of __T__ βperiodic solutions for a class of nonlinear __n__ βth order differential equations with delays of the form __x__^(__n__)^(__t__) + __f__ (__x__^(__nβ__ 1)^(__t__)) + _