Zobrazeno 1 - 10
of 13
pro vyhledávání: '"M. B. Zvereva"'
Autor:
M. B. Zvereva
Publikováno v:
Contemporary Mathematics. Fundamental Directions. 68:635-652
In this paper, a model of deformations of Stieltjes strings system located along a geometric star graph with a nonlinear condition at the node is studied. This kind of condition arises due to the presence of a limiter for the movement of strings in t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::39f43dbf8994d516ff23f3c94945912b
https://doi.org/10.22363/2413-3639-2022-68-4-635-652
https://doi.org/10.22363/2413-3639-2022-68-4-635-652
Publikováno v:
Doklady Mathematics. 101:5-8
An impulse nonlinear problem admitting discontinuous solutions that are functions of bounded variation is studied. This problem models the deformation of a discontinuous string (chains of strings fastened together by springs) with elastic supports in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::980ef4508efecfad8c9e020193c38c71
https://doi.org/10.1134/s1064562420010111
https://doi.org/10.1134/s1064562420010111
Publikováno v:
Differential Equations. 48:1103-1111
We analyze a SD-equation on a graph from the viewpoint of variational laws and generalize the mathematical modeling on space grids to the case of an irregular object. We take into account the possible appearance of the delta-function phenomenon even
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c114c55ebfdb7938ec469b9e9a50d188
https://doi.org/10.1134/s0012266112080058
https://doi.org/10.1134/s0012266112080058
Publikováno v:
Differential Equations. 47:656-670
We study the differential equation −(pu′)′ + qu = f with generalized coefficients for the case in which it is realized in the form of the Euler equation or the Jacobi equation for a variational problem with impulse parameters.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::65a796ced6a5d3bea38fa882527cc7b5
https://doi.org/10.1134/s0012266111050053
https://doi.org/10.1134/s0012266111050053
Publikováno v:
Doklady Mathematics. 90:613-615
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::612e6a5eba6140adb98bdd3ce3dbacb9
https://doi.org/10.1134/s1064562414060325
https://doi.org/10.1134/s1064562414060325
Publikováno v:
Russian Mathematical Surveys. 63:109-153
This paper extends the Sturm-Liouville oscillation theory on the distribution of zeros of eigenfunctions to the case of problems with strong singularities of the coefficients (of -function type). For instance, these are problems arising in the study
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b1b8b12cb0001a50459479fb72f2354
https://doi.org/10.1070/rm2008v063n01abeh004502
https://doi.org/10.1070/rm2008v063n01abeh004502
Publikováno v:
Ukrainian Mathematical Journal. 60:108-113
Oscillation spectral properties (the number of zeros, their alternation for eigenfunctions, the simplicity of the spectrum, etc.) are described for the Sturm-Liouville problem with generalized coefficients.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c980c293719c9c47f116fab41f451c77
https://doi.org/10.1007/s11253-008-0045-4
https://doi.org/10.1007/s11253-008-0045-4
Publikováno v:
Journal of Mathematical Sciences. 144:3825-3831
This paper suggests a method of “measure transformation” for justifying and studying problems of variational nature and nonstandard type.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::df6a724c7efefcaac2045d33c8ffd495
https://doi.org/10.1007/s10958-007-0235-x
https://doi.org/10.1007/s10958-007-0235-x
Publikováno v:
Journal of Mathematical Sciences. 143:3342-3354
Classical oscillation properties (number of zeroes of eigenfunctions and their alteration) of the Sturm-Liouville problem are extended to the case of nonsmooth or discontinuous solutions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe1a5357439c80d28fb07453b4d486f6
https://doi.org/10.1007/s10958-007-0213-3
https://doi.org/10.1007/s10958-007-0213-3
Publikováno v:
Journal of Mathematical Sciences. 142:2176-2185
Discontinuous solutions of the Sturm-Liouville problem whose differential operator is a generalized differentiation in a certain sense are studied.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::95c710563bf8d3f0c685f69d7bcd589d
https://doi.org/10.1007/s10958-007-0128-z
https://doi.org/10.1007/s10958-007-0128-z