Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Irina Kmit"'
Autor:
Irina Kmit, Roman Klyuchnyk
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 96, Pp 1-11 (2016)
The paper concerns nonlocal time-periodic boundary value problems for first-order integro-differential hyperbolic systems with boundary inputs. The systems are subjected to integral boundary conditions. Under natural regularity assumptions on the dat
Externí odkaz:
https://doaj.org/article/a11c8994e26042fab17211790cb5f58b
Autor:
Irina Kmit
Publikováno v:
Electronic Journal of Differential Equations, Vol 2007, Iss 132, Pp 1-23 (2007)
We consider a generalization of the Lotka-McKendrick problem describing the dynamics of an age-structured population with time-dependent vital rates. The generalization consists in allowing the initial and the boundary conditions to be derivatives of
Externí odkaz:
https://doaj.org/article/36ff6a44189a474ca88294c97fdf8b52
Autor:
Irina Kmit, Lutz Recke
Publikováno v:
Journal of Dynamics and Differential Equations.
This paper concerns the behavior of time-periodic solutions to 1D dissipative autonomous semilinear hyperbolic PDEs under the influence of small time-periodic forcing. We show that the phenomenon of forced frequency locking happens similarly to the a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f93946cf76e77b0208c001d9e16e5743
https://doi.org/10.1007/s10884-022-10236-0
https://doi.org/10.1007/s10884-022-10236-0
Autor:
Irina Kmit, Lutz Recke
Publikováno v:
Journal of Dynamics and Differential Equations. 34:1393-1431
We consider boundary value problems for 1D autonomous damped and delayed semilinear wave equations of the type $$\begin{aligned} \partial ^2_tu(t,x)- a(x,\lambda )^2\partial _x^2u(t,x)= b(x,\lambda ,u(t,x),u(t-\tau ,x),\partial _tu(t,x),\partial _xu(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa1029ddb062ba38b4552b70847f80c1
https://doi.org/10.1007/s10884-021-10009-1
https://doi.org/10.1007/s10884-021-10009-1
Publikováno v:
Journal of Evolution Equations. 21:4171-4212
The paper concerns boundary value problems for general nonautonomous first order quasilinear hyperbolic systems in a strip. We construct small global classical solutions, assuming that the right hand sides are small. In the case that all data of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa21cc7d68678782575a91b0f40e1650
https://doi.org/10.1007/s00028-021-00717-y
https://doi.org/10.1007/s00028-021-00717-y
Autor:
Natalya Lyul'ko, Irina Kmit
Publikováno v:
SIAM Journal on Control and Optimization. 59:3179-3202
We address nonautonomous initial boundary value problems for decoupled linear first-order one-dimensional hyperbolic systems and investigate the phenomenon of finite time stabilization. We establis...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ece181212492757adc1a06967709304f
https://doi.org/10.1137/20m1343610
https://doi.org/10.1137/20m1343610
Autor:
Natalya Lyul'ko, Irina Kmit
Publikováno v:
Journal of Mathematical Analysis and Applications. 460:838-862
The paper deals with initial-boundary value problems for linear non-autonomous first order hyperbolic systems whose solutions stabilize to zero in a finite time. We prove that problems in this class remain exponentially stable in L 2 as well as in C
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0fafb910b6fdd8bc302c7cea0d8e3b02
https://doi.org/10.1016/j.jmaa.2017.12.030
https://doi.org/10.1016/j.jmaa.2017.12.030
Publikováno v:
Journal of Differential Equations. 262:2493-2520
We investigate evolution families generated by general linear first-order hyperbolic systems in one space dimension with periodic boundary conditions. We state explicit conditions on the coefficient functions that are sufficient for the existence of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::11f652cad88a80ed5ecd61382b65b674
https://doi.org/10.1016/j.jde.2016.11.003
https://doi.org/10.1016/j.jde.2016.11.003
Autor:
R. Klyuchnyk, Irina Kmit
Publikováno v:
Journal of Mathematical Analysis and Applications. 442:804-819
We investigate a large class of linear boundary value problems for the general first-order one-dimensional hyperbolic systems in the strip [ 0 , 1 ] × R . We state rather broad natural conditions on the data under which the operators of the problems
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4d3d58d885811df82baaab18df456f48
https://doi.org/10.1016/j.jmaa.2016.05.010
https://doi.org/10.1016/j.jmaa.2016.05.010
Solution regularity and smooth dependence for abstract equations and applications to hyperbolic PDEs
Autor:
Lutz Recke, Irina Kmit
Publikováno v:
Journal of Differential Equations. 259:6287-6337
First we present a generalized implicit function theorem for abstract equations of the type F ( λ , u ) = 0 . We suppose that u 0 is a solution for λ = 0 and that F ( λ , ⋅ ) is smooth for all λ, but, mainly, we do not suppose that F ( ⋅ , u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::597c3db92dc4abafbcf135ba82af7b90
https://doi.org/10.1016/j.jde.2015.07.029
https://doi.org/10.1016/j.jde.2015.07.029