Zobrazeno 1 - 10
of 42
pro vyhledávání: '"A. Yu. Luchka"'
Autor:
A. Yu. Luchka, V. F. Mel’nychuk
Publikováno v:
Journal of Mathematical Sciences. 189:805-812
We establish conditions for the existence of solutions of weakly nonlinear integral equations with restrictions and construct these solutions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2aa62b09e92662c33157f148e935bd08
https://doi.org/10.1007/s10958-013-1220-1
https://doi.org/10.1007/s10958-013-1220-1
Autor:
V. F. Mel’nychuk, A. Yu. Luchka
Publikováno v:
Journal of Mathematical Sciences. 187:471-493
We substantiate the applicability of the approximation-iterative method to weakly nonlinear integral equations with restrictions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::79e6e83e17151afed86b079ac4623916
https://doi.org/10.1007/s10958-012-1077-8
https://doi.org/10.1007/s10958-012-1077-8
Autor:
V. F. Mel’nychuk, A. Yu. Luchka
Publikováno v:
Nonlinear Oscillations. 14:526-536
We establish conditions for the existence of solutions of quasilinear integral equations with quasilinear constraints and substantiate the applicability of the iterative method to these equations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ee6b2256c6d1d6e82f18c6c9bf098187
https://doi.org/10.1007/s11072-012-0174-4
https://doi.org/10.1007/s11072-012-0174-4
Autor:
V. A. Feruk, A. Yu. Luchka
Publikováno v:
Nonlinear Oscillations. 13:389-406
We propose a new approach to the investigation of boundary-value problems for systems of differential equations with parameters and restrictions. This approach uses ideas of both iterative and projection methods. We develop and substantiate a new mod
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fbfab0b43e1796e472cf8d2b98c93e38
https://doi.org/10.1007/s11072-011-0121-9
https://doi.org/10.1007/s11072-011-0121-9
Autor:
O. B. Nesterenko, A. Yu. Luchka
Publikováno v:
Ukrainian Mathematical Journal. 61:801-809
We establish conditions for the existence of solutions of boundary-value problems for weakly nonlinear integro-differential equations with parameters and restrictions. We also substantiate the applicability of iterative and projection-iterative metho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c07fd5e2385b12c218f2369337ac1eba
https://doi.org/10.1007/s11253-009-0241-x
https://doi.org/10.1007/s11253-009-0241-x
Autor:
A. Yu. Luchka, O. B. Nesterenko
Publikováno v:
Nonlinear Oscillations. 12:85-93
We substantiate the application of the projection-iterative method to the solution of a boundary-value problem for integro-differential equations with restrictions and control.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7d65d74ce8b6f328fd23fbbf80efdbd0
https://doi.org/10.1007/s11072-009-0061-9
https://doi.org/10.1007/s11072-009-0061-9
Autor:
O. B. Nesterenko, A. Yu. Luchka
Publikováno v:
Nonlinear Oscillations. 11:219-228
We consider an application of the projection method to a boundary-value problem for integro-differential equations with restrictions and control and propose a calculation scheme for the method.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8429788733b665bc7e1b246bfe4729d3
https://doi.org/10.1007/s11072-008-0025-5
https://doi.org/10.1007/s11072-008-0025-5
Autor:
A. Yu. Luchka
Publikováno v:
Nonlinear Oscillations. 11:55-69
Methods developed for the solution of general equations with restrictions are applied to the construction of periodic solutions of systems of differential equations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::646d077b0b8b4a5ee579aa1eb159f135
https://doi.org/10.1007/s11072-008-0014-8
https://doi.org/10.1007/s11072-008-0014-8
Autor:
A. Yu. Luchka
Publikováno v:
Nonlinear Oscillations. 10:106-118
We propose an approach to the investigation of even systems of functional differential equations with restrictions and control. According to this approach, the investigation of the consistency of the considered problem is reduced to the investigation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::27900911b2558fd9e40067bba8ec3cac
https://doi.org/10.1007/s11072-007-0009-x
https://doi.org/10.1007/s11072-007-0009-x
Autor:
A. Yu. Luchka, V. A. Feruk
Publikováno v:
Nonlinear Oscillations. 7:187-206
We consider a quasilinear system of differential equations with constant delay, initial condition, and restriction and justify the application of a modified projection-iterative method to this system.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ee251dd014ed9a50e71c4ac77688c6a
https://doi.org/10.1007/s11072-005-0005-y
https://doi.org/10.1007/s11072-005-0005-y