Singular left-definite Hamiltonian systems in the Sobolev space
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Authors
Ekin Ugurlu
- Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey.
Kenan Tas
- Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey.
Dumitru Baleanu
- Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey.
- Institute of Space Sciences, Magurele-Bucharest, Romania.
Abstract
This paper is devoted to construct Weyl's theory for the singular
left-definite even-order Hamiltonian systems in the corresponding
Sobolev space. In particular, it is proved that there exist at least
\(n\)-linearly independent solutions in the Sobolev space for the
\(2n\)-dimensional Hamiltonian system.
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ISRP Style
Ekin Ugurlu, Kenan Tas, Dumitru Baleanu, Singular left-definite Hamiltonian systems in the Sobolev space, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 8, 4451--4458
AMA Style
Ugurlu Ekin, Tas Kenan, Baleanu Dumitru, Singular left-definite Hamiltonian systems in the Sobolev space. J. Nonlinear Sci. Appl. (2017); 10(8):4451--4458
Chicago/Turabian Style
Ugurlu, Ekin, Tas, Kenan, Baleanu, Dumitru. "Singular left-definite Hamiltonian systems in the Sobolev space." Journal of Nonlinear Sciences and Applications, 10, no. 8 (2017): 4451--4458
Keywords
- Hamiltonian system
- left-definite problems
- Weyl theory.
MSC
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