Zobrazeno 1 - 10
of 297
pro vyhledávání: '"34B27"'
Autor:
Idiong, Ubong Sam
In this work, the Heun operator is written as an element in the universal enveloping algebra of the Lie algebra $\mathscr{G}=\mathscr{L}(G)$ of the Lie group $G=SL(2,\mathbb{C})$. The Green function and the spectral shift function of the exactly solv
Externí odkaz:
http://arxiv.org/abs/2412.05513
In this work we analyze the spectral $\zeta$-function associated with the self-adjoint extensions, $T_{A,B}$, of quasi-regular Sturm--Liouville operators that are bounded from below. By utilizing the Green's function formalism, we find the characteri
Externí odkaz:
http://arxiv.org/abs/2409.06922
We use methods of direct optimization as in [9] to find the minimizers of the fundamental gap of Sturm-Liouville operators on an interval, under the constraint that the potential is of single-well form and that the weight function is of single-barrie
Externí odkaz:
http://arxiv.org/abs/2407.02459
In this paper we will study the set of parameters in which certain partial derivatives of the Green's function, related to a $n$-order linear operator $T_{n}[M]$, depending on a real parameter $M$, coupled to different two-point boundary conditions,
Externí odkaz:
http://arxiv.org/abs/2406.01509
Autor:
Cabada, Alberto, López-Somoza, Lucía
In this paper we obtain an explicit formula of the parameter dependence of the partial derivatives of the Green's functions related to two-point boundary conditions. Such expression follows as an integral of both kernels times the difference of the c
Externí odkaz:
http://arxiv.org/abs/2405.17320
Autor:
Girg, Petr, Kotrla, Lukáš
We propose a new mathematical model of groundwater flow in porous medium layered over inclined impermeable bed. In its full generality, this is a free-surface problem. To obtain analytically tractable model, we use generalized Dupuit-Forchheimer assu
Externí odkaz:
http://arxiv.org/abs/2402.09215
Autor:
Frasca, Marco, Groote, Stefan
Publikováno v:
Symmetry 16 (2024) no.11, 1504
We consider some non-linear non-homogeneous partial differential equations (PDEs) and derive their exact Green function solution as a functional Taylor expansion in powers of the source. The kind of PDEs we consider are dispersive ones where the exac
Externí odkaz:
http://arxiv.org/abs/2312.17718
Autor:
Hermi, Lotfi, Saito, Naoki
We reformulate all general real coupled self-adjoint boundary value problems as integral operators and show that they are all finite rank perturbations of the free space Green's function on the real line. This free space Green's function corresponds
Externí odkaz:
http://arxiv.org/abs/2211.07141
Publikováno v:
Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis 29 (2022) 139-151
In this paper, we show the existence of a positive solution of a Hammerstein integral equation under certain conditions on the kernel. We apply the recent Layered Compression-Expansion Fixed Point Theorem. Finally, we provide corollaries to help in a
Externí odkaz:
http://arxiv.org/abs/2205.02322
Autor:
Lee, Jinsil, Lee, Yong-Hoon
In this paper, we study the existence of positive solutions for nonlinear fractional differential equations with a singular weight. We derive Green's function and corresponding integral operator and then examine the compactness of the operator. As an
Externí odkaz:
http://arxiv.org/abs/2203.10671