Geodesic
On one boundary-value problem for an equation of higher even order
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2017), pp. 13-29

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We study boundary-value problem for an equation of even order in a rectangle domain. By spectral method we obtain necessary and sufficient conditions of uniqueness of a solution. The solution is constructed in the form of infinite series in eigenfunctions. We obtain sufficient conditions under which this series is a regular solution.
Keywords: differential equation, even oder, boundary-value problem, spectral method, uniqueness, series
Mots-clés : existence, uniform convergence. 
@article{IVM_2017_9_a1,
     author = {B. Yu. Irgashev},
     title = {On one boundary-value problem for an equation of higher even order},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {13--29},
     publisher = {mathdoc},
     number = {9},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_9_a1/}
}
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B. Yu. Irgashev. On one boundary-value problem for an equation of higher even order. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2017), pp. 13-29. http://geodesic.mathdoc.fr/item/IVM_2017_9_a1/