Zobrazeno 1 - 10
of 1 272
pro vyhledávání: '"Regular singular point"'
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2020, Iss 22, Pp 1-21 (2020)
We consider the second-order linear differential equation $(x^2-1)y''+f(x)y'+g(x)y=h(x)$ in the interval $(-1,1)$ with initial conditions or boundary conditions (Dirichlet, Neumann or mixed Dirichlet–Neumann). The functions $f$, $g$ and $h$ are ana
Externí odkaz:
https://doaj.org/article/5c3ea781de974347813f10418af73767
Autor:
V. A. Trotsenko, Yu. V. Trotsenko
Publikováno v:
Ukrains’kyi Matematychnyi Zhurnal. 73:1414-1422
We consider a system of differential equations, which describes the free oscillations of a thin-walled conical shell of rotation with a vertex. Based on the analytical theory of systems of differential equations with a small parameter at the highest
Publikováno v:
Mathematics, Vol 8, Iss 2, p 230 (2020)
In this contribution, we construct approximations for the density associated with the solution of second-order linear differential equations whose coefficients are analytic stochastic processes about regular-singular points. Our analysis is based on
Externí odkaz:
https://doaj.org/article/ac4bd1a80f024af6ae805c2f29158415
Publikováno v:
AIMS Mathematics, Vol 6, Iss 9, Pp 10130-10163 (2021)
This paper presents a somewhat exhaustive study on the conformable fractional Gauss hypergeometric function (CFGHF). We start by solving the conformable fractional Gauss hypergeometric equation (CFGHE) about the fractional regular singular points $x=
Publikováno v:
Journal of Differential Equations
Journal of Differential Equations, Elsevier, 2021, 286, pp.494-530. ⟨10.1016/j.jde.2021.03.031⟩
Journal of Differential Equations, 2021, 286, pp.494-530. ⟨10.1016/j.jde.2021.03.031⟩
Journal of Differential Equations, Elsevier, 2021, 286, pp.494-530. ⟨10.1016/j.jde.2021.03.031⟩
Journal of Differential Equations, 2021, 286, pp.494-530. ⟨10.1016/j.jde.2021.03.031⟩
We construct modal outgoing Green's kernels for the simplified Galbrun's equation under spherical symmetry, in the context of helioseismology. The coefficients of the equation are C 2 functions representing the solar interior model S , complemented w
Publikováno v:
Doklady of the National Academy of Sciences of Belarus. 65:146-157
The known systems of the radial equations describing the hydrogen atom on the basis of the Dirac equation in the Lobachevsky–Riemann spaces of constant curvature are investigated. In the both geometrical models, the differential equations of second
Autor:
Alexander Varchenko, Vitaly Tarasov
Publikováno v:
European Journal of Mathematics. 7:706-728
We consider the equivariant quantum differential equation for the projective space $$P^{n-1}$$ and introduce a compatible system of difference equations. We prove an equivariant gamma theorem for $$P^{n-1}$$ , which describes the asymptotics of the d
Autor:
Victor León, Bruno Scárdua
Publikováno v:
Electronic Research Archive. 29:2101-2127
We study second order linear differential equations with analytic coefficients. One important case is when the equation admits a so called regular singular point. In this case we address some untouched and some new aspects of Frobenius methods. For i
Autor:
Yu. Yu. Bagderina
Publikováno v:
Journal of Mathematical Sciences. 252:125-134
Asymptotic solutions of the eigenvalue problem for an Euler operator in a neighborhood of a regular singular point are considered. We find a condition under which the asymptotic expansion is free of logarithms. Eigenvalues expressed in terms of eleme
Autor:
Asadullah Torabi
Publikováno v:
Journal of Applied Mathematics and Physics. :1269-1277
As we know that the power series method is a very effective method for solving the Ordinary differential equations (ODEs) which have variable coefficient, so in this paper we have studied how to solve second-order ordinary differential equation with