Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Ivan Kiguradze"'
Autor:
Ivan Kiguradze, Nino Partsvania
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 1999, Iss 5, Pp 1-22 (1999)
In this paper we consider the differential system (1.1) $u_i'(t)=f_i\big(t,u_1(\tau_{i1}(t)),u_2(\tau_{i2}(t))\big) (i=1,2)$ with the boundary conditions (1.2) $\varphi\big(u_1(0),u_2(0)\big)=0, u_1(t)=u_1(a), u_2(t)=0 for t\geq a,$ where $f_i: [0,a]
Externí odkaz:
https://doaj.org/article/22f15717dfd0442295597d1d72b371bd
Autor:
Ivan Kiguradze, Zaza Sokhadze
Publikováno v:
Georgian Mathematical Journal. 23:537-550
For higher order nonlinear functional differential equations, sufficient conditions for the solvability and unique solvability of some nonlinear nonlocal boundary value problems are established.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ead2f9b43907394b9fa61108ddb268f
https://doi.org/10.1515/gmj-2016-0039
https://doi.org/10.1515/gmj-2016-0039
Autor:
Ivan Kiguradze, Zaza Sokhadze
Publikováno v:
Georgian Mathematical Journal. 21:303-311
For first order singular functional differential equations, optimal sufficient conditions for the existence of positive solutions of periodic type boundary value problems are established.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d73c4ae008cd331093ff8cfbd6b2ded4
https://doi.org/10.1515/gmj-2014-0030
https://doi.org/10.1515/gmj-2014-0030
Autor:
Ivan Kiguradze
Publikováno v:
Georgian Mathematical Journal. 21:211-224
For singular in a phase variable second order differential inequalities, a priori estimates of positive solutions, satisfying nonlinear nonlocal boundary conditions, are established.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e35a51e134f2bac5cada7a1a9045a858
https://doi.org/10.1515/gmj-2014-0018
https://doi.org/10.1515/gmj-2014-0018
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, Jiří Šremr
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 74:6537-6552
In this paper, we consider two non-local boundary value problems for two-dimensional half-linear differential systems. We prove general Fredholm type theorems, which allow one to derive new efficient solvability criteria for the problems studied.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::31b4465564c040edc6f8dc82a560772c
https://doi.org/10.1016/j.na.2011.06.038
https://doi.org/10.1016/j.na.2011.06.038
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:
Ivan Kiguradze
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 71:e1503-e1512
Optimal sufficient conditions for the solvability and well-posedness of the boundary value problem d x i d t = f i ( t , x 1 , … , x n ) ( i = 1 , … , n ) , x i ( 0 ) = c i ( i = 1 , … , m ) , lim sup t → + ∞ | x i ( t ) | + ∞ ( i = m + 1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b92f3d32cace25293729a655d222dd3
https://doi.org/10.1016/j.na.2009.01.196
https://doi.org/10.1016/j.na.2009.01.196
Autor:
Ivan Kiguradze
Publikováno v:
gmj. 16:711-724
For systems of nonlinear nonautonomous ordinary differential equations, the conditions, optimal in a certain sense, are established, which guarantee the solvability and well-posedness of the problem on bounded solutions, the vanishing at infinity of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1df567a2da6399fa8c8381e15bb501ca
https://doi.org/10.1515/gmj.2009.711
https://doi.org/10.1515/gmj.2009.711
Autor:
Ivan Kiguradze
Publikováno v:
gmj. 15:677-682
For the two-dimensional linear differential system with Lebesgue integrable coefficients 𝑝𝑖𝑘 : [𝑎, 𝑏] → ℝ (𝑖 = 1, 2), a Beurling–Borg type theorem is proved on an upper estimate of the number of zeros of an arbitrary non-trivi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c572bd9c10e3bc69e0595eccd308975a
https://doi.org/10.1515/gmj.2008.677
https://doi.org/10.1515/gmj.2008.677