Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Krzysztof P. Rybakowski"'
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Topol. Methods Nonlinear Anal. 52, no. 2 (2018), 631-664
Universidade de São Paulo (USP)
instacron:USP
Topol. Methods Nonlinear Anal. 52, no. 2 (2018), 631-664
In this paper, which is a sequel to \cite{CR11}, we extend the spectral convergence result from \cite{CP} to a larger class of singularly perturbed families of scalar linear differential operators. This also extends the Conley index continuation prin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f4efa7994d27c295240a853d23ea658
Autor:
Krzysztof P. Rybakowski
Publikováno v:
Journal of Fixed Point Theory and Applications. 16:83-107
In this paper, we prove attractor existence and continuation results for reaction–diffusion equations on singularly perturbed unbounded curved squeezed domains.
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Topol. Methods Nonlinear Anal. 50, no. 2 (2017), 741-755
Universidade de São Paulo (USP)
instacron:USP
Topol. Methods Nonlinear Anal. 50, no. 2 (2017), 741-755
We prove singular Conley index continuation results for a class of scalar parabolic equations with locally large diffusion considered by Fusco [On the explicit construction of an ODE which has the same dynamics as scalar parabolic PDE, J. Differentia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59566e7c977420122a495444314fbbde
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Topol. Methods Nonlinear Anal. 54, no. 1 (2019), 29-58
Universidade de São Paulo (USP)
instacron:USP
Topol. Methods Nonlinear Anal. 54, no. 1 (2019), 29-58
We establish spectral convergence and Conley index continuation results for a class of singularly perturbed periodic boundary value problems.
Publikováno v:
Fundamenta Mathematicae. 196:253-273
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
We prove a continuation result for Morse decompositions under tubular singular semiflow perturbations, which generalizes a corresponding result from Carbinatto and Rybakowski [Morse decompositions in the absence of uniqueness, II.Topol. Methods Nonli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ba122bab7f13fe416741cf696e065678
Autor:
Krzysztof P. Rybakowski
Publikováno v:
Topol. Methods Nonlinear Anal. 45, no. 2 (2015), 699-726
Using a resolvent convergence result from [M.C. Carbinatto and K.P. Rybakowski, Resolvent convergence for Laplace operators on unbounded curved squeezed domains, Topol. Methods Nonlinear Anal. 42 (2013), 233-257] we prove Conley index and index braid
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4727aea2e0431cd86845a3250b3938a1
http://projecteuclid.org/euclid.tmna/1459344001
http://projecteuclid.org/euclid.tmna/1459344001
Publikováno v:
Journal of Dynamics and Differential Equations. 15:1-48
Let Ω be an arbitrary smooth bounded domain in $$\mathbb{R}^2 $$ and ∈ > 0 be arbitrary. Squeeze Ω by the factor ∈ in the y-direction to obtain the squeezed domain Ω ∈ = {(x,∈y)∣(x,y)∈Ω}. In this paper we study the family of reaction-
Publikováno v:
Fundamenta Mathematicae. 176:233-249
Let be a bounded domain in R N with smooth boundary. Consider the u = @vH(u;v;x) in , v = @uH(u;v;x) in , u = 0; v = 0 in @ . We assume that H is an even \ "-type Hamiltonian function whose rst order partial derivatives satisfy appropriate growth con
Publikováno v:
Studia Mathematica. 154:253-275