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pro vyhledávání: '"Bełdziński, Michał"'
Combining monotonicity theory related to the parametric version of the Browder-Minty Theorem with fixed point arguments we obtain hybrid existence results for a system of two operator equations. Applications are given to a system of boundary value pr
Externí odkaz:
http://arxiv.org/abs/2308.07385
Autor:
Bełdziński Michał, Galewski Marek
Publikováno v:
Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 349-381 (2024)
Using the Ekeland variational principle and the mountain pass lemma we prove some properties about potential homeomorphisms between a real Banach space and its dual. In particular, we show that a locally monotone homeomorphism is necessarily strictly
Externí odkaz:
https://doaj.org/article/4646227e539f4100b902da549db60a3a
Publikováno v:
In Nonlinear Analysis: Real World Applications October 2024 79
Publikováno v:
Advanced Nonlinear Studies, Vol 23, Iss 1, Pp 215-221 (2023)
By combining monotonicity theory related to the parametric version of the Browder-Minty theorem with fixed point arguments, hybrid existence results for a system of two operator equations are obtained. Applications are given to a system of boundary v
Externí odkaz:
https://doaj.org/article/9a3c30ad8e964f1fb27da6ed66246bf4
In this work we proivied a new simpler proof of the global diffeomorphism theorem from [9] which we further apply to consider unique solvability of some abstract semilinear equations. Applications to the second order Dirichlet problem driven by the L
Externí odkaz:
http://arxiv.org/abs/1712.03493
Autor:
Bełdziński, Michał, Galewski, Marek
We investigate solvability of a continuous Dirichlet boundary value problem together with its classical discretization using a gobal diffeomorphism theorem.
Comment: paper accepted to Journal of Difference Equations and Applications
Comment: paper accepted to Journal of Difference Equations and Applications
Externí odkaz:
http://arxiv.org/abs/1711.10030
Publikováno v:
Advances in Nonlinear Analysis, Vol 11, Iss 1, Pp 1117-1133 (2022)
Using elements of the theory of linear operators in Hilbert spaces and monotonicity tools we obtain the existence and uniqueness results for a wide class of nonlinear problems driven by the equation Tx=N(x)Tx=N\left(x), where TT is a self-adjoint ope
Externí odkaz:
https://doaj.org/article/88987f0428eb4b8b812e6b70251d9285
Autor:
Bełdziński, Michał, Galewski, Marek
Publikováno v:
In Applied Mathematics and Computation 15 November 2020 385
Akademický článek
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Autor:
Bełdziński, Michał1 michal.beldzinski@dokt.p.lodz.pl, Galewski, Marek2 marek.galewski@p.lodz.pl
Publikováno v:
Opuscula Mathematica. 2020, Vol. 40 Issue 1, p37-47. 11p.