Zobrazeno 1 - 10
of 11
pro vyhledávání: '"L. P. Protsakh"'
Autor:
L. P. Protsakh, P. O. Savenko
Publikováno v:
Journal of Mathematical Sciences. 183:43-53
We study the application of the finite-difference method to the solution of a two-point boundary-value problem for an m -order differential equation with nonlinear occurrence of a two-dimensional spectral parameter in coefficients of the equation and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::574c9bfe94307274aa2f88975c602b7a
https://doi.org/10.1007/s10958-012-0796-1
https://doi.org/10.1007/s10958-012-0796-1
Publikováno v:
Journal of Mathematical Sciences. 180:51-67
We investigate the branching of solutions of a Hammerstein-type nonlinear two-dimensional integral equation that arises in the problems of mean-square approximation of a real finite nonnegative function of two variables by the modulus of double Fouri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c4ef34739597f19daace9d27d070346
https://doi.org/10.1007/s10958-011-0628-8
https://doi.org/10.1007/s10958-011-0628-8
Autor:
P. O. Savenko, L. P. Protsakh
Publikováno v:
Journal of Mathematical Sciences. 170:612-621
We consider a method for the solution of linear two-parameter spectral algebraic problems, based on the implicit-function methods. The use of the implicit-function methods enables one to determine the properties and structure of an existing spectrum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::20a230b4d45111120e821fa21eedb984
https://doi.org/10.1007/s10958-010-0106-8
https://doi.org/10.1007/s10958-010-0106-8
Publikováno v:
Journal of Mathematical Sciences. 167:89-95
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5754b4b5b84d19f32ab627df96ec6256
https://doi.org/10.1007/s10958-010-9904-2
https://doi.org/10.1007/s10958-010-9904-2
Publikováno v:
Journal of Mathematical Sciences. 160:343-356
We study the nonlinear problem of mean-square approximation of a real finite nonnegative continuous function of two variables by the modulus of a double Fourier integral depending on two parameters. The solution of this problem is reduced to the solu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1e9e7bec5a8c4318f11d3c9a38145551
https://doi.org/10.1007/s10958-009-9502-3
https://doi.org/10.1007/s10958-009-9502-3
Autor:
P. A. Savenko, L. P. Protsakh
Publikováno v:
Russian Mathematics. 51:40-43
1. Nonlinear spectral problems arise in various areas of analysis and mathematical physics. Most developed are the theory andmethods of solving such problemswith one-dimensional spectral parameter (see [1–9]). In this paper, we consider a nonlinear
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::13d6f5c657d176363f484439a4f6fc2d
https://doi.org/10.3103/s1066369x07110060
https://doi.org/10.3103/s1066369x07110060
Publikováno v:
2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory.
A nonlinear synthesis problem of plane equidistant antennas array by the given requirements to amplitude directivity pattern is investigated. For such problems non-uniqueness and branching of the solutions dependent on physical parameters of array is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2b423c40eccbdc7b3c6481f6c098875
https://doi.org/10.1109/diped.2009.5306944
https://doi.org/10.1109/diped.2009.5306944
Publikováno v:
Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory.
The method of solving of the nonlinear two-dimensional spectral eigenvalue problem is based on reduction of such problem to solving the corresponding Cauchy problem for the linear differential equation of the first order, is developed.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97f6a0f5936ca1c3ab733ca3badac32a
https://doi.org/10.1109/diped.2006.314317
https://doi.org/10.1109/diped.2006.314317
Publikováno v:
10th International Conference on Mathematical Methods in Electromagnetic Theory, 2004..
A variational method for solution of the nonlinear vector spectral problem for the case of linear self-adjoint positively semi-definite operators functioning in real Hilbertian spaces with nonlinearly included spectral parameters, is stated in the re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a83777f2205dbb671a34b3b6f404120
https://doi.org/10.1109/mmet.2004.1397083
https://doi.org/10.1109/mmet.2004.1397083
Publikováno v:
Proceedings of Xth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory.
Two various approaches to solving of two-dimensional nonlinear spectral problem arising at researching the branching of the solutions of nonlinear synthesis problems with flat radiating aperture, are stated. The numerical examples of finding of eigen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0ab29db448f44b68ad27bf9b713c0fad
https://doi.org/10.1109/diped.2005.201615
https://doi.org/10.1109/diped.2005.201615