Eigenvalues, eigenfunctions and Green's functions on a path via Chebyshev polynomials
2009 ◽
Vol 3
(2)
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pp. 282-302
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Keyword(s):
In this work we analyze the boundary value problems on a path associated with Schr?dinger operators with constant ground state. These problems include the cases in which the boundary has two, one or none vertices. In addition, we study the periodic boundary value problem that corresponds to the Poisson equation in a cycle. Moreover, we obtain the Green's function for each regular problem and the eigenvalues and their corresponding eigenfunctions otherwise. In each case, the Green's functions, the eigenvalues and the eigenfunctions are given in terms of first, second and third kind Chebyshev polynomials.
1987 ◽
Vol 30
(1)
◽
pp. 28-35
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2014 ◽
Vol 85
(3-4)
◽
pp. 273-283
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1970 ◽
Vol 8
(2)
◽
pp. 374-396
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2014 ◽
Vol 50
(2)
◽
pp. 268-273
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2004 ◽
Vol 290
(1)
◽
pp. 35-54
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Keyword(s):
Keyword(s):
Keyword(s):
1974 ◽
pp. 434-438
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2019 ◽
Vol 14
(3)
◽
pp. 24-30
Keyword(s):