Zobrazeno 1 - 10
of 292
pro vyhledávání: '"Krawcewicz A"'
In this paper, we use the equivariant degree theory to establish a global bifurcation result for the existence of non-stationary branches of solutions to a nonlinear, two-parameter family of hyperbolic wave equations with local delay and non-trivial
Externí odkaz:
http://arxiv.org/abs/2411.05953
In this paper we study local and global symmetric Hopf bifurcation in abstract parabolic systems by means of the twisted equivariant degree.
Comment: 62 pages, 7 figures, submitted to J. Differential Equations (under review)
Comment: 62 pages, 7 figures, submitted to J. Differential Equations (under review)
Externí odkaz:
http://arxiv.org/abs/2311.13136
Publikováno v:
AIMS Mathematics, Vol 9, Iss 4, Pp 8461-8475 (2024)
In this paper, we study the existence and multiplicity of periodic solutions to a class of second-order nonlinear differential equations with distributed delay. Under assumptions that the nonlinearity is odd, differentiable at zero and satisfies the
Externí odkaz:
https://doaj.org/article/d2c11e2e95a2412dbd9d243e071a31cd
Publikováno v:
In Journal of Differential Equations 25 August 2024 401:282-307
Autor:
Romain Gastineau, Przemysław Dąbek, Kamila Mianowicz, Valcana Stoyanova, Artur Krawcewicz, Tomasz Abramowski
Publikováno v:
ZooKeys, Vol 1183, Iss , Pp 81-98 (2023)
The Clarion-Clipperton Zone (CCZ) in the tropical East Pacific is a region of interest for deep-sea mining due to its underwater deposits of polymetallic nodules containing economically important metals such as nickel, copper, and cobalt. It is also
Externí odkaz:
https://doaj.org/article/52a60178dc024686a234dd4e76496e29
We study the existence of subharmonic solutions in the system $\ddot {u}(t)=f(t,u(t))$, where $u(t)\in\mathbb{R}^{k}$ and $f$ is an even and $p$-periodic function in time. Under some additional symmetry conditions on the function $f$, the problem of
Externí odkaz:
http://arxiv.org/abs/2008.08132
The existence and spatio-temporal patterns of $2\pi$-periodic solutions to second order reversible equivariant autonomous systems with commensurate delays are studied using the Brouwer $O(2) \times \Gamma \times \mathbb Z_2$-equivariant degree theory
Externí odkaz:
http://arxiv.org/abs/2008.06590
Existence and spatio-temporal patterns of periodic solutions to second order reversible equivariant autonomous systems with commensurate delays are studied using the Brouwer $O(2) \times \Gamma \times \mathbb Z_2$-equivariant degree theory, where $O(
Externí odkaz:
http://arxiv.org/abs/2007.09166
Existence and spatio-temporal symmetric patterns of periodic solutions to second order reversible equivariant non-autonomous periodic systems with multiple delays are studied under the Hartman-Nagumo growth conditions. The method is based on using th
Externí odkaz:
http://arxiv.org/abs/2005.12558
In this paper, we prove the existence of non-radial solutions to the problem $-\triangle u=f(z,u)$, $u|_{\partial D}=0$ on the unit disc $D:=\{z\in \mathbb C : |z|<1\}$ with $u(z)\in \mathbb R^k$, where $f$ is a sub-linear continuous function, differ
Externí odkaz:
http://arxiv.org/abs/2002.03462