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pro vyhledávání: '"Andrei P. Shilin"'
Autor:
Andrei P. Shilin
Publikováno v:
Mathematics, Vol 11, Iss 24, p 4940 (2023)
A new linear integro-differential equation is considered on a closed curve located on the complex plane. The integrals in the equation are understood in the sense of a finite part, according to Hadamard. The order of the equation can be higher than o
Externí odkaz:
https://doaj.org/article/77d39d55299843a1a174fb208fa52c98
Autor:
Andrei P. Shilin
Publikováno v:
Журнал Белорусского государственного университета: Математика, информатика, Iss 2, Pp 17-28 (2021)
The paper provides an exact analytical solution to a hypersingular inregro-differential equation of arbitrary order. The equation is defined on a closed curve in the complex plane. A characteristic feature of the equation is that if is written using
Externí odkaz:
https://doaj.org/article/bedc1cb23ced43baaecd5e33e3537468
Autor:
Andrei P. Shilin
Publikováno v:
Журнал Белорусского государственного университета: Математика, информатика, Iss 3, Pp 48-56 (2019)
The linear hypersingular integro-differential equation of arbitrary order on a closed curve located on the complex plane is considered. A scheme is proposed to study this equation in the case when its coefficients have some particular structure. This
Externí odkaz:
https://doaj.org/article/02d06d8170ee4665b12bee2f648e7137
Autor:
Andrei P. Shilin
Publikováno v:
Журнал Белорусского государственного университета: Математика, информатика, Iss 2, Pp 67-72 (2019)
The linear equation on the curve located on the complex plane is studied. The equation contains the desired function, its derivatives of the first and second orders, as well as hypersingular integrals with the desired function. The coefficients of th
Externí odkaz:
https://doaj.org/article/9b1246d80ecf42508f1fc12474d14ff8
Autor:
Andrei P. Shilin
Publikováno v:
Journal of the Belarusian State University. Mathematics and Informatics. :6-15
A new hypersingular integro-differential equation is considered on a closed curve located on the complex plane. The equation refers to linear equations with variable coefficients of a special kind. A characteristic feature is the presence of constant
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ecf2120260d853629d96caaa70490cf6
https://doi.org/10.33581/2520-6508-2022-3-6-15
https://doi.org/10.33581/2520-6508-2022-3-6-15