Geodesic
Some properties of functional-differential operators with involution $\nu(x)=1-x$ and their applications
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2021), pp. 89-97

Voir la notice de l'article provenant de la source Math-Net.Ru

Functional-differential operators with involution $\nu(x)=1-x$ are related to integral operators whose kernels suffer discontinuities on the lines $t=x$ and $t=1-x$, and to Dirac and Sturm-Liouville operators. They have found their application in the study of these operators, and in various applications. This paper reviews studies of the spectral properties of such operators with involution and their applications in problems on geometric graphs, in the study of Dirac systems, and in the justification of the Fourier method in mixed problems for partial differential equations.
Keywords: Functional-differential operator, involution, spectral theory, Dirac operator, graph, Fourier method. 
@article{IVM_2021_5_a10,
     author = {M. Sh. Burlutskaya},
     title = {Some properties of functional-differential operators with involution $\nu(x)=1-x$ and their applications},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {89--97},
     publisher = {mathdoc},
     number = {5},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2021_5_a10/}
}
TY  - JOUR
AU  - M. Sh. Burlutskaya
TI  - Some properties of functional-differential operators with involution $\nu(x)=1-x$ and their applications
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2021
SP  - 89
EP  - 97
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2021_5_a10/
LA  - ru
ID  - IVM_2021_5_a10
ER  - 
%0 Journal Article
%A M. Sh. Burlutskaya
%T Some properties of functional-differential operators with involution $\nu(x)=1-x$ and their applications
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2021
%P 89-97
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2021_5_a10/
%G ru
%F IVM_2021_5_a10
M. Sh. Burlutskaya. Some properties of functional-differential operators with involution $\nu(x)=1-x$ and their applications. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2021), pp. 89-97. http://geodesic.mathdoc.fr/item/IVM_2021_5_a10/