Discontinuous linear Hamiltonian systems
Filomat, Tome 36 (2022) no. 3, p. 813

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We study a discontinuous linear Hamiltonian system. We obtain a result on the existence and uniqueness of solutions. Later, we introduce the corresponding maximal and minimal operators for this problem and the self-adjoint extensions of such a minimal operator are established. Finally, we obtain an eigenfunction expansion
DOI : 10.2298/FIL2203813A
Classification : 34B37, 47E05, 34L10
Keywords: Hamiltonian system, transmission conditions, maximal operator, minimal operator, self-adjoint operator, spectral resolution
Bilender P Allahverdiev; Hüseyin Tuna. Discontinuous linear Hamiltonian systems. Filomat, Tome 36 (2022) no. 3, p. 813 . doi: 10.2298/FIL2203813A
@article{10_2298_FIL2203813A,
     author = {Bilender P Allahverdiev and H\"useyin Tuna},
     title = {Discontinuous linear {Hamiltonian} systems},
     journal = {Filomat},
     pages = {813 },
     year = {2022},
     volume = {36},
     number = {3},
     doi = {10.2298/FIL2203813A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2203813A/}
}
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