نتایج جستجو برای: a_1

تعداد نتایج: 278  

Journal: :Journal of The Institute of Mathematics of Jussieu 2021

Abstract We establish a one-to-one correspondence between, on the one hand, Finsler structures $2$ -sphere with constant curvature $1$ and all geodesics closed, other Weyl connections certain spindle orbifolds whose symmetric Ricci is positive definite are closed. As an application of our duality result, we show that suitable holomorphic deformations Veronese embedding $\mathbb {CP}(a_1,a_2)\ri...

Journal: :Discrete Mathematics 2021

For positive integers $s,t,u,v$, we define a bipartite graph $\Gamma_{\mathbb{R}}(X^s Y^t,X^u Y^v)$ where each partite set is copy of $\mathbb{R}^3$, and vertex $(a_1,a_2,a_3)$ in the first adjacent to $[x_1,x_2,x_3]$ second if only \[ a_2 + x_2 = a_1^s x_1^t \quad \text{and} a_3+x_3=a_1^ux_1^v. \] In this paper, classify all such graphs according girth.

Journal: :Mathematics of Control, Signals, and Systems 2023

We investigate infinite-time admissibility of a control operator B in Hilbert space state-delayed dynamical system setting the form $${\dot{z}}(t)=Az(t)+A_1 z(t-\tau )+Bu(t)$$ , where A generates diagonal $$C_0$$ -semigroup, $$A_1\in {\mathcal {L}}(X)$$ is also and $$u\in L^2(0,\infty ;{\mathbb {C}})$$ . Our approach based on Laplace embedding between $$L^2$$ Hardy $$H^2({\mathbb {C}}_+)$$ The ...

Journal: :Izvestiya: Mathematics 2021

The Minkowski question-mark function $?(x)$ is a continuous strictly increasing defined on $[0,1]$ interval. It well known fact that the derivative of this function, if exists, can take only two values: $0$ and $+\infty$. also value $?'(x)$ at point $x=[0;a_1,a_2,\ldots,a_t,\ldots]$ connected with limit behavior arithmetic mean $(a_1+a_2+\ldots+a_t)/t$. Particularly, N. Moshchevitin A. Dushisto...

Journal: :Mathematische Annalen 2023

Let H and F be two Hénon maps with biholomorphically equivalent escaping sets, then there exist affine automorphisms $$A_1$$ $$A_2$$ in $${\mathbb {C}}^2$$ such that $$\begin{aligned} F=A_1\circ \circ A_2 \end{aligned}$$ .

Journal: :Proceedings of the American Mathematical Society 2016

Journal: :European Physical Journal C 2021

Abstract We evaluate the $$a_1(1260) \rightarrow \pi \sigma (f_0(500))$$ a 1 ( 1260 ) → π σ f 0 500 </mml:...

Journal: :AIMS mathematics 2021

We study the behavior of solutions for parametric equation $$-\Delta_{p}^{a_1} u(z)-\Delta_{q}^{a_2} u(z)=\lambda |u(z)|^{q-2} u(z)+f(z,u(z)) \quad \mbox{in } \Omega,\, \lambda >0,$$ under Dirichlet condition, where $\Omega \subseteq \mathbb{R}^N$ is a bounded domain with $C^2$-boundary $\partial \Omega$, $a_1,a_2 \in L^\infty(\Omega)$ $a_1(z),a_2(z)>0$ a.a. $z $p,q (1,\infty)$ and $\Delta_{p}^...

For the Fr'{e}chet algebras $(A, (p_k))$ and $(B, (q_k))$ and $n in mathbb{N}$, $ngeq 2$, a linear map $T:A rightarrow B$ is called textit{almost $n$-multiplicative}, with respect to $(p_k)$ and $(q_k)$, if there exists $varepsilongeq 0$ such that$$q_k(Ta_1a_2cdots a_n-Ta_1Ta_2cdots Ta_n)leq varepsilon p_k(a_1) p_k(a_2)cdots p_k(a_n),$$for each $kin mathbb{N}$ and $a_1, a_2, ldots, a_nin A$. Th...

Journal: :Colloquium Mathematicum 2022

Let $\mathbb {N}=\{0,1,2,\ldots \}$ and $A\subset \mathbb {N}$. $h\geq 2$ let $r_h(A,n)=\sharp \{ (a_1,\ldots ,a_h) \in A^{h}: a_1+\cdots +a_h=n\}.$ The set $A$ is called an asymptotic basis of order $h$ if $r_h(A,n)\geq 1$ for all sufficiently la

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