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Sobolev’s spaces on time scales and its applications to a class of second order Hamiltonian systems on time scales
- Source :
-
Nonlinear Analysis . Sep2010, Vol. 73 Issue 5, p1375-1388. 14p. - Publication Year :
- 2010
-
Abstract
- Abstract: In this paper, we study the Sobolev’s spaces on time scales and their properties. As applications, we present a recent approach via variational methods and the critical point theory to obtain the existence of solutions for a class of second order Hamiltonian systems on time scales. By establishing a proper variational setting, three existence results for systems under consideration are obtained. Finally, three examples are presented to illustrate the feasibility and effectiveness of the existence results. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0362546X
- Volume :
- 73
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 51443018
- Full Text :
- https://doi.org/10.1016/j.na.2010.04.070