On a class of damped vibration problems with super-quadratic potentials
β Scribed by Xian Li; Xian Wu; Ke Wu
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 485 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
The main purpose of this paper is to study the following damped vibration problems
By establishing a proper variational set, one existence result and two multiplicity results of non-trivial periodic solutions of (1) are obtained.
π SIMILAR VOLUMES
We have presented a variant existence result for periodic solutions to a class of Hamiltonian systems with a potential which is both super quadratic and sign-indefinite.
In this paper, we first give the representation of the general solution of the following inverse monic quadratic eigenvalue problem (IMQEP): given matrices Ξ = diag{Ξ» 1 , . . . , Ξ» p } β C pΓp , Ξ» i ΜΈ = Ξ» j for i ΜΈ = j, i, j = 1, . . . , p, X = [x 1 , . . . , x p ] β C nΓp , rank(X ) = p, and both Ξ