title: Composition of fundamental solution for an odd order equation
metadata.name: dc.contributor.author
metadata.value: Irgashev, Bakhrom Yu.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-07-12T19:33:55Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-07-12T19:33:55Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Irgashev B.Yu. Composition of fundamental solution for an odd order equation. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2018, vol. 5 (63), issue 2, pp. 244–255.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2018.205
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/10402
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In recent years an enormous attention has been given to examining non-classical equations
  in quotient derivatives. On the one hand, this is explained by the lack of studying of these
  equations in theoretical way. On the other hand, often their enclosure to various problems of
  mechanics, physics and technics has been found out. To less studied non classical equations
  of high orders belongs the equation in this form:
  Dp
  xu (x, y) + aDq
  yu (x, y) = F 􀀀x, y,D1
  xu,D1
  yu, . . . ,Dp−1
  x u,Dq−1
  y u ,
  Ds
  t u =
  @su
  @ts , p, q 2 N, p > q, a = const.
  This equation has only one system of characteristics y = const which is a p-multiple
  characteristics. This equation with p = 3, q = 1 involves a famous equation of Cortevega  
  de Vrize, and when p = 3, q = 2 it describes stationary flow of transonic gas.
  In this paper in the area of 
   = {(x, y) : 0 < x < p, 0 < y < q} fundamental solution
  U (x, y,  ,  ) for an equation
  L[u]   (−1)n D2n+1
  x u (x, y) − (−1)m D2m
  y u (x, y) = 0,
  (2n + 1, 2m) = 1, n,m 2 N, n   m
  was built.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 5(63); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: odd-order equation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: multiple characteristics
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: fundamental solution
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Composition of fundamental solution for an odd order equation
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 05-Irgashev.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/10402/1/05-Irgashev.pdf
resources.format: Adobe PDF
resources.size: 305,92 kB