Zobrazeno 1 - 10
of 172
pro vyhledávání: '"34a40"'
Autor:
Gesztesy, Fritz, Pang, Michael M. H.
We extend a recently derived optimal Hardy inequality in integral form on finite intervals by Dimitrov, Gadjev, and Ismail \cite{DGI24} to the case of additional power weights and then derive an optimal power-weighted Hardy inequality in differential
Externí odkaz:
http://arxiv.org/abs/2408.01884
Autor:
Cazacu, Cristian, Fidel, Irina
When studying the weighted Hardy-Rellich inequality in $L^2$ with the full gradient replaced by the radial derivative the best constant becomes trivially larger or equal than in the first situation. Our contribution is to determine the new sharp cons
Externí odkaz:
http://arxiv.org/abs/2406.15792
Autor:
Aliyev, Yagub
In the paper the maximum and the minimum of the ratio of the difference of the arithmetic mean and the geometric mean, and the difference of the power mean and the geometric mean of $n$ variables, is studied. A new optimization argument was used whic
Externí odkaz:
http://arxiv.org/abs/2405.11947
Autor:
Villa-Morales, José
The article provides upper bounds for the blow-up time of a system of fractional differential equations in the Caputo sense. Furthermore, concrete examples of blow-up time estimation are given using a numerical algorithm of the predictor-corrector ty
Externí odkaz:
http://arxiv.org/abs/2310.13584
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 222-224 (2024)
In this article, we apply the Fourier transform to prove the Hyers-Ulam and Hyers-Ulam-Rassias stability for the first- and second-order nonlinear differential equations with initial conditions. Additionally, we extend the results to investigate the
Externí odkaz:
https://doaj.org/article/e4cd8116cbb040ec843e1cb0510d1c25
Autor:
Cao, Fei, Jabin, Pierre-Emmanuel
We investigate the unbiased model for money exchanges: agents give at random time a dollar to one another (if they have one). Surprisingly, this dynamics eventually leads to a geometric distribution of wealth (shown empirically by Dragulescu and Yako
Externí odkaz:
http://arxiv.org/abs/2208.05629
Autor:
Bitsouni, Vasiliki, Gialelis, Nikolaos
We introduce the multivariate analogue of the well known inequality $1+x\leq \mathrm{e}^x$, for an abstract non negative real number $x$. The result emerges from the study of the blow up time of certain solutions of the Cauchy problem for a particula
Externí odkaz:
http://arxiv.org/abs/2203.08313
Publikováno v:
Discrete and Continuous Dynamical Systems - S, 2024, 17(5&6): 1911-1946
Motivated by a recent study of Bessel operators in connection with a refinement of Hardy's inequality involving $1/\sin^2(x)$ on the finite interval $(0,\pi)$, we now take a closer look at the underlying Bessel-type operators with more general invers
Externí odkaz:
http://arxiv.org/abs/2107.09271
Autor:
Borges, Valter
In this paper, we prove an optimal inequality between the potential function of a complete Schouten soliton and the norm of its gradient. We also prove that these metrics have bounded scalar curvature of defined sign. As an application, we prove that
Externí odkaz:
http://arxiv.org/abs/2102.05605
Publikováno v:
In: Gesztesy, F., Martinez-Finkelshtein, A. (eds) From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory. Operator Theory: Advances and Applications, vol 285. Birkh\auser, Cham, 2021, pp. 143-172
The principal aim of this paper is to employ Bessel-type operators in proving the inequality \begin{align*} \int_0^\pi dx \, |f'(x)|^2 \geq \dfrac{1}{4}\int_0^\pi dx \, \dfrac{|f(x)|^2}{\sin^2 (x)}+\dfrac{1}{4}\int_0^\pi dx \, |f(x)|^2,\quad f\in H_0
Externí odkaz:
http://arxiv.org/abs/2102.00106