A new morse index theory for strongly indefinite functionals
β Scribed by Yuxia Guo; Jiaquan Liu; Pingan Zeng
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 299 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper, a new Morse index theory for strongly indeΓΏnite functionals was developed via G alerkin approximation. In particular, the abstract theory is valid for those kinds of strongly indeΓΏnite functionals corresponding to wave equation and beam equation.
π SIMILAR VOLUMES
We present a new proof of the well-known combinatorial result ['&!I, = C, qMa'("') where w is a permutation of O"lnmk, by showing a bijection between the set of partitions of an integer m that fit in a k x n -k rectangle and the set consisting of all permutations w of O'l"-' having Maj(w) = m.
A new interruption function for the molecular collisions under Anderson-Tsao-Cumutte (ATC) theory has been fonnulated, which has the correct form and explains the observed width.
This paper deals with a new existence theory for positive periodic solutions to a kind of nonautonomous functional differential equation by employing the fixed-point theorem in cones. Applying the general theorems established to several biomathematieal models, the paper improves some previous result