Zobrazeno 1 - 10
of 247
pro vyhledávání: '"34B30"'
Autor:
Blower, Gordon, Doust, Ian
Let $(-A,B,C)$ be a continuous time linear system with state space a separable complex Hilbert space $H$, where $-A$ generates a strongly continuous contraction semigroup $(e^{-tA})_{t\geq 0}$ on $H$, and $\phi (t)=Ce^{-tA}B$ is the impulse response
Externí odkaz:
http://arxiv.org/abs/2409.15826
Autor:
Papanicolaou, Vassilis G.
Let $H = -d^2/dx^2 + q(x)$, $x \in \mathbb{R}$, where $q(x)$ is a periodic potential, and suppose that the spectrum $\sigma(H)$ of $H$ is the positive semi-axis $[0, \infty)$. In the case where $q(x)$ is real-valued (and locally square-integrable) a
Externí odkaz:
http://arxiv.org/abs/2409.10266
In this paper we introduce an index $\ell_c \in \mathbb{N}_0 \cup \lbrace \infty \rbrace$ which we call the `regularization index' associated to the endpoints, $c\in\{a,b\}$, of nonoscillatory Sturm-Liouville differential expressions with trace class
Externí odkaz:
http://arxiv.org/abs/2407.04847
We prove explicit uniform two-sided bounds for the phase functions of Bessel functions and of their derivatives. As a consequence, we obtain new enclosures for the zeros of Bessel functions and their derivatives in terms of inverse values of some ele
Externí odkaz:
http://arxiv.org/abs/2402.06956
Autor:
Karjanto, N., Sadhani, P.
The Sturm-Liouville boundary value problem (SLBVP) stands as a fundamental cornerstone in the realm of mathematical analysis and physical modeling. Also known as the Sturm-Liouville problem (SLP), this paper explores the intricacies of this classical
Externí odkaz:
http://arxiv.org/abs/2402.00408
Autor:
Volkmer, Hans
Publikováno v:
SIGMA 20 (2024), 067, 21 pages
The Laplace-Beltrami operator on (the surface of) a triaxial ellipsoid admits a sequence of real eigenvalues diverging to plus infinity. By introducing ellipsoidal coordinates, this eigenvalue problem for a partial differential operator is reduced to
Externí odkaz:
http://arxiv.org/abs/2312.01620
Autor:
Gesztesy, Fritz, Hunziker, Markus
We consider the generalized eigenvalue problem for the classical Euler differential equation and demonstrate its intimate connection with Meijer's $G$-functions. In the course of deriving the solution of the generalized Euler eigenvalue equation we r
Externí odkaz:
http://arxiv.org/abs/2311.13083
We offer a detailed treatment of spectral and Weyl-Titchmarsh-Kodaira theory for all self-adjoint Jacobi operator realizations of the differential expression \begin{align*} \tau_{\alpha,\beta} = - (1-x)^{-\alpha} (1+x)^{-\beta}(d/dx) \big((1-x)^{\alp
Externí odkaz:
http://arxiv.org/abs/2307.12164
Autor:
Court, Sebastien
We consider a coupled system of partial differential equations describing the interactions between a closed free interface and two viscous incompressible fluids. The fluids are assumed to satisfy the incompressible Navier-Stokes equations in time-dep
Externí odkaz:
http://arxiv.org/abs/2306.16908
Transmutations from the Covariant Transform on the Heisenberg Group and an Extended Umbral Principle
Autor:
Kisil, Vladimir V.
We discuss several seemingly assorted objects: the umbral calculus, generalised translations and associated transmutations, symbolic calculus of operators. The common framework for them is representations of the Weyl algebra of the Heisenberg group b
Externí odkaz:
http://arxiv.org/abs/2305.14227