Multicritical behavior of weakly disordered systems with two order parameters
โ Scribed by V. V. Prudnikov; P. V. Prudnikov; A. A. Fedorenko
- Book ID
- 110145940
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 80 KB
- Volume
- 89
- Category
- Article
- ISSN
- 1063-7761
- DOI
- 10.1134/1.558987
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๐ SIMILAR VOLUMES
By employing the Deimling fixed point index theory, we consider a class of second-order nonlinear differential systems with two parameters (ฮป, ยต) โ R 2 + \ {(0, 0)}. We show that there exist three nonempty subsets of R 2 + \ {(0, 0)}: ฮ , โ 1 and โ 2 such that R 2 + \ {(0, 0)} = ฮ โช โ 1 โช โ 2 and th
A class of second-order abstract systems with memory and Dirichlet boundary conditions is investigated. By suitable Liapunov functionals, existence of solutions as well as asymptotic behavior, are determined. In particular, when the memory kernel decays exponentially, the polynomially decay of the s