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Volume 10, Issue 3
The Solvability of the Boundary Value Problem of the Four Elements with the Carleman Shift and Complex-conjugate Values

Zhengwu Li , Lihua Xiao & Chunhua Feng

J. Part. Diff. Eq., 10 (1997), pp. 247-256.

Published online: 1997-10

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  • Abstract
To following boundary value problem a(t)\overline{Φ^+(t)} + b(t)Φ^+[α(t)] + c(t)\overline{Φ^-(t)} + d(t)Φ^-[a(t)] = f(t) this paper has given out the number of linearly independent solutions and the conditions of solvability, so as to deepen the study of the problem to the same level as that of following problem a(t)\overline{Φ^+(t)} + b(t)Φ^+(t) + c(t)\overline{Φ^-(t)} + d(t)Φ^-(t) = f(t)
  • Keywords

Boundary value problem Noether problem number of linearly independent solutions number of the conditions of solvability

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COPYRIGHT: © Global Science Press

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@Article{JPDE-10-247, author = {}, title = {The Solvability of the Boundary Value Problem of the Four Elements with the Carleman Shift and Complex-conjugate Values}, journal = {Journal of Partial Differential Equations}, year = {1997}, volume = {10}, number = {3}, pages = {247--256}, abstract = { To following boundary value problem a(t)\overline{Φ^+(t)} + b(t)Φ^+[α(t)] + c(t)\overline{Φ^-(t)} + d(t)Φ^-[a(t)] = f(t) this paper has given out the number of linearly independent solutions and the conditions of solvability, so as to deepen the study of the problem to the same level as that of following problem a(t)\overline{Φ^+(t)} + b(t)Φ^+(t) + c(t)\overline{Φ^-(t)} + d(t)Φ^-(t) = f(t)}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5595.html} }
TY - JOUR T1 - The Solvability of the Boundary Value Problem of the Four Elements with the Carleman Shift and Complex-conjugate Values JO - Journal of Partial Differential Equations VL - 3 SP - 247 EP - 256 PY - 1997 DA - 1997/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5595.html KW - Boundary value problem KW - Noether problem KW - number of linearly independent solutions KW - number of the conditions of solvability AB - To following boundary value problem a(t)\overline{Φ^+(t)} + b(t)Φ^+[α(t)] + c(t)\overline{Φ^-(t)} + d(t)Φ^-[a(t)] = f(t) this paper has given out the number of linearly independent solutions and the conditions of solvability, so as to deepen the study of the problem to the same level as that of following problem a(t)\overline{Φ^+(t)} + b(t)Φ^+(t) + c(t)\overline{Φ^-(t)} + d(t)Φ^-(t) = f(t)
Zhengwu Li , Lihua Xiao & Chunhua Feng . (2019). The Solvability of the Boundary Value Problem of the Four Elements with the Carleman Shift and Complex-conjugate Values. Journal of Partial Differential Equations. 10 (3). 247-256. doi:
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