Zobrazeno 1 - 10
of 1 196
pro vyhledávání: '"34c25"'
Autor:
Igra, Eran
We study the dynamics of the Nose-Hoover and Moore-Spiegel Oscillators, and in particular, their topological dynamics. We prove the dynamics of both these systems can be reduced to a flow on a solid torus, with at most a finite number of attracting p
Externí odkaz:
http://arxiv.org/abs/2409.16624
We study the existence of bounded asymptotic mild solutions to evolution equations of the form $u'(t)=Au(t)+f(t), t\ge 0$ in a Banach space $\X$, where $A$ generates an (analytic) $C_0$-semigroup and $f$ is bounded. We find spectral conditions on $A$
Externí odkaz:
http://arxiv.org/abs/2409.12885
Autor:
Novaes, Douglas D.
This addendum presents a relevant stronger consequence of the main theorem of the paper "Higher order stroboscopic averaged functions: a general relationship with Melnikov functions" [arXiv:2011.03663], EJQTDE No. 77 (2021).
Externí odkaz:
http://arxiv.org/abs/2409.05912
Autor:
Le, Phuong
Let $u$ be a bounded positive solution to the problem $-\Delta_p u = f(u)$ in $\mathbb{R}^N_+$ with zero Dirichlet boundary condition, where $p>1$ and $f$ is a locally Lipschitz continuous function. Among other things, we show that if $f(\sup_{\mathb
Externí odkaz:
http://arxiv.org/abs/2409.04804
Autor:
Duan, Huagui, Xie, Dong
In this paper, we proved that for every non-degenerate $C^3$ compact star-shaped hypersurface $\Sigma$ in $\mathbb{R}^{8}$ which carries no prime closed characteristic of Maslov-type index $-1$, there exist at least four prime closed characteristics
Externí odkaz:
http://arxiv.org/abs/2409.04460
Autor:
Carretero, Luis, Valero, José
Publikováno v:
J. Math. Anal. Appl., 2019, V.480
We study a one-dimensional ordinary differential equation modelling optical conveyor belts, showing in particular cases of physical interest that periodic solutions exist. Moreover, under rather general assumptions it is proved that the set of period
Externí odkaz:
http://arxiv.org/abs/2407.10843
Autor:
Mamo, Natnael Gezahegn, Ullah, Wahid
We present multiplicity results for the periodic and Neumann-type boundary value problems associated with coupled Hamiltonian systems. For the periodic problem, we couple a system having twist condition with another one whose nonlinearity lies betwee
Externí odkaz:
http://arxiv.org/abs/2407.08389
Autor:
Zhang, Xinze, Yang, Xue
In this paper, we study the problem of Poisson stability of solutions for stochastic semi-linear evolution equation driven by fractional Brownian motion \mathrm{d} X(t)= \left( AX(t) + f(t, X(t)) \right) \mathrm{d}t + g\left(t, X(t)\right)\mathrm{d}B
Externí odkaz:
http://arxiv.org/abs/2407.04313
In this paper, we study the $T$-periodic solutions of the parameter-dependent $\phi$-Laplacian equation \begin{equation*} (\phi(x'))'=F(\lambda,t,x,x'). \end{equation*} Based on the topological degree theory, we present some atypical bifurcation resu
Externí odkaz:
http://arxiv.org/abs/2406.00325
The paper studies the existence of periodic solutions of a perturbed relativistic Kepler problem of the type \begin{equation*} \dfrac{\mathrm{d}}{\mathrm{d}t}\left(\frac{m\dot{x}}{\sqrt{1-|\dot{x}|^{2}/c^{2}}}\right) = -\alpha\frac{x}{|x|^{3}} + \var
Externí odkaz:
http://arxiv.org/abs/2405.11189