ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Alternative Generalized Operators Admitted by the Generalized Rayleigh Equation

Author(s):

Lidiya Vladimirovna Linchuk

PhD in phisics and mathematics
Assoc.Professor
Dept. of Higher Mathematics
Institute of Applied Mathematics and Mechanics
Peter the Great St.Petersburg Polytechnic University
Polytechnicheskaya, 29
195251, St.Petersburg, Russia

lidiya_linchuk@mail.ru

Abstract:

The article deals with the generalized Rayleigh equation. We offer a method for search of first integrals. It is based on the algorithm that uses alternative generalized operators. Model equations of this type and their first integrals are found.

Keywords

References:

  1. Zaitsev V. F. Formalnye operatory i teoremy o faktorizatsii obyknovennykh differentsialnykh uravnenij // «Simmetriya i differentsialnye uravneniya», Trudy III Mezhdunarodnoj konferentsii. - Krasnoyarsk, 2002. - S. 101-105
  2. Linchuk L. V. Alternativnye obobshhyonnye simmetrii obyknovennykh differentsialnykh uravnenij 2-go poryadka // «Nekotorye aktualnye problemy sovremennoj matematiki i matematicheskogo obrazovaniya», materialy nauchnoj konferentsii «Gertsenovskie chteniya - 2010» (12-17 aprelya 2010 g. ). - SPb. : Izdatelstvo BAN, 2010. - S. 46-53
  3. Zaitsev V. F., Polyanin A. D. Spravochnik po obyknovennym differentsialnym uravneniyam. - M. : Fizmatlit, 2001. - 576 s
  4. Zaitsev V. F., Linchuk L. V. Poisk pervykh integralov i alternativnye simmetrii // «Nekotorye aktualnye problemy sovremennoj matematiki i matematicheskogo obrazovaniya», materialy nauchnoj konferentsii «Gertsenovskie chteniya - 2015» (13-17 aprelya 2015 g. ). - SPb. : RGPU im. A. I. Gertsena, 2015. - S. 50-53

Full text (pdf)