Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Tariel Kiguradze"'
Autor:
Noha Al Jaber, Tariel Kiguradze
Publikováno v:
Georgian Mathematical Journal. 26:235-256
For higher-order linear hyperbolic equations the problem on periodic solutions is investigated. The concepts of associated problems, and α-well-posedness are introduced. Necessary and sufficient conditions of well-posedness in the two-dimensional ca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0227238c758f7b5e8de4a3fed7d16898
https://doi.org/10.1515/gmj-2019-2002
https://doi.org/10.1515/gmj-2019-2002
Autor:
I. T. Kiguradze, Tariel Kiguradze
Publikováno v:
Differential Equations. 54:1545-1559
For higher-order sublinear nonautonomous ordinary differential equations, necessary and sufficient conditions for the existence of properties A and B are obtained. In particular, we prove that if n is even, a > 0, and the function p : [a, +∞) → (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::736a3d720c15fdba3681f0c09d396ef8
https://doi.org/10.1134/s0012266118120029
https://doi.org/10.1134/s0012266118120029
Autor:
Tariel Kiguradze, I. T. Kiguradze
Publikováno v:
Differential Equations. 53:996-1004
We study the existence of solutions continuously depending on a parameter for higher-order nonlinear ordinary differential equations with linear boundary conditions. In particular, we prove a theorem of Fredholm type providing tests for the unique so
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a3520c8da5c57b1e0154012f953c9668
https://doi.org/10.1134/s0012266117080043
https://doi.org/10.1134/s0012266117080043
Autor:
Tariel Kiguradze, Raja Ben-Rabha
Publikováno v:
Georgian Mathematical Journal. 24:409-428
Problems with linear initial-boundary conditions for higher order nonlinear hyperbolic equations are investigated. The concept of strong well-posedness of an initial-boundary value problem is introduced, and conditions guaranteeing solvability and st
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::12ba7283d2dc8f3444abd7c0567349b6
https://doi.org/10.1515/gmj-2017-0031
https://doi.org/10.1515/gmj-2017-0031
Autor:
Ivan Kiguradze, Tariel Kiguradze
Publikováno v:
Georgian Mathematical Journal. 18:735-760
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8cc069a5778c3637cbc95759f47ecf00
https://doi.org/10.1515/gmj.2011.0040
https://doi.org/10.1515/gmj.2011.0040
Autor:
Ivan Kiguradze, Tariel Kiguradze
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 74:757-767
For the differential equation u ″ = f ( t , u ) in regular as well as in singular cases there are established optimal sufficient conditions of existence for solutions satisfying nonlocal boundary conditions of the type ∫ a b u ( i − 1 ) ( s ) d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8c0a8281ee6bcd0cef4ec917a209b7d7
https://doi.org/10.1016/j.na.2010.09.023
https://doi.org/10.1016/j.na.2010.09.023
Autor:
Tariel Kiguradze
Publikováno v:
Differential Equations. 46:187-194
For linear singular differential equations of higher order, we obtain necessary and sufficient conditions for nonlocal boundary value problems to be well posed or conditionally well posed.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bbedc5d2e9786d3d0a84416a1b76abb5
https://doi.org/10.1134/s0012266110020047
https://doi.org/10.1134/s0012266110020047
Autor:
Tariel Kiguradze
Publikováno v:
Differential Equations. 46:30-47
For higher-order linear singular equations, we find sharp estimates for the Cauchy function and its partial derivatives. We use these estimates to study the properties of solutions of singular differential inequalities and obtain optimal sufficient c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b2b2fc9633a4c0b9b214f2325d200a50
https://doi.org/10.1134/s0012266110010052
https://doi.org/10.1134/s0012266110010052
Autor:
Tariel Kiguradze
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 71:789-798
For the differential equation u ″ = f ( t , u , u ′ ) , where the function f : ( a , b ) × R 2 → R has nonintegrable singularities with respect to the time variable at t = a and t = b , new unimprovable sufficient conditions of solvability and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1a8df977be9aaf1db2b07d230554d8b9
https://doi.org/10.1016/j.na.2008.10.129
https://doi.org/10.1016/j.na.2008.10.129
Autor:
Tariel Kiguradze, Ivan Kiguradze
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 69:1914-1933
In the rectangle Ω = [ 0 , a ] × [ 0 , b ] for the nonlinear hyperbolic equation u ( m , n ) = ∑ i = 0 m − 1 h 1 i ( x ) u ( i , n ) + ∑ k = 0 n − 1 h 2 k ( y ) u ( m , k ) + f ( x , y , u , … , u ( m − 1 , n − 1 ) ) the boundary valu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0207de305a2927dd059e5753151722f4
https://doi.org/10.1016/j.na.2007.07.033
https://doi.org/10.1016/j.na.2007.07.033