Singular left-definite Hamiltonian systems in the Sobolev space

Uğurlu, EkinUgurlu, EkinTaş, KenanTas, KenanBaleanu, DumitruBaleanu, Dumitru2018-09-112018-09-112017Uğurlu, E., Taş, K., Baleanu, D. (2017). Singular left-definite Hamiltonian systems in the Sobolev space. Journal of Nonlinear Sciences and Applications, 10(8), 4451-4458. http://dx.doi.org/10.22436/jnsa.010.08.372008-18982008-1901https://doi.org/10.22436/jnsa.010.08.37This 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. (C) 2017 All rights reserved.eninfo:eu-repo/semantics/openAccessHamiltonian SystemLeft-Definite ProblemsWeyl TheorySingular left-definite Hamiltonian systems in the Sobolev spaceSingular Left-Definite Hamiltonian Systems in the Sobolev SpaceArticle1084451445810.22436/jnsa.010.08.37WOS:000409353500037N/AN/A