Perturbational analysis of dual trigonometric series associated with boundary conditions of first and third kind
1978 ◽
Vol 78
(3-4)
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pp. 291-298
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Keyword(s):
SynopsisExistence and uniqueness theorems are established for dual trigonometric equations having right-hand sides that are given functions of bounded variation. The first equation in each pair has coefficients, say {Jn(n + h)} or (jn(n + h – ½)}, and the second equation coefficients {jn)}, where h is a nonnegative constant. A potential problem involving mixed boundary conditions of first and third kind is associated with each dual series. The potential problem is analysed using a stepwise perturbation procedure involving solutions in powers of h. The analysis demonstrates that the present dual series problem can be resolved if the dual series problem associated with the case h = 0 is solvable, the latter being a result obtained earlier.
2020 ◽
Vol 490
(1)
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pp. 124201
2005 ◽
Vol 63
(5-7)
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pp. e1399-e1407
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1989 ◽
Vol 47
(1)
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pp. 117-121
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2003 ◽
Vol 13
(04)
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pp. 597-611
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2011 ◽
Vol 116
(1)
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pp. 71-86
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