Data-driven discovery of Green's functions with human-understandable deep learning. [PDF]
Boullé N, Earls CJ, Townsend A.
europepmc +1 more source
A Study of the Generalized Gabor Transform with Applications to Reproducing Kernel Theory
The aim of this paper is to establish an inversion and Calderón formulas for the generalized Gabor transform associated with a class of Sturm–Liouville operators.
Saifallah Ghobber, Hatem Mejjaoli
doaj +1 more source
The weakly non-linear waves propagation for Kelvin-Helmholtz instability in the magnetohydrodynamics flow impelled by fractional theory. [PDF]
Faridi WA +4 more
europepmc +1 more source
Operational matrices based on the shifted fifth-kind Chebyshev polynomials for solving nonlinear variable order integro-differential equations. [PDF]
Jafari H, Nemati S, Ganji RM.
europepmc +1 more source
The Resolvent of Impulsive Singular Hahn–Sturm–Liouville Operators
In this study, the resolvent of the impulsive singular Hahn–Sturm– Liouville operator is considered. An integral representation for the resolvent of this operator is obtained.
Allahverdiev Bilender P. +2 more
doaj +1 more source
Two Chebyshev Spectral Methods for Solving Normal Modes in Atmospheric Acoustics. [PDF]
Wang Y, Tu H, Liu W, Xiao W, Lan Q.
europepmc +1 more source
Positive solutions for multipoint boundary-value problem with parameters
In this paper, we study a generalized Sturm-Liouville boundary-value problems with two positive parameters. By constructing a completely continuous operator and combining fixed point index theorem and some properties of the eigenvalues of linear ...
Zhongli Wei, Juanjuan Xu
doaj
A three-dimensional fractional solution for air contaminants dispersal in the planetary boundary layer. [PDF]
Tankou Tagne AS +4 more
europepmc +1 more source
Spectral function for a nonsymmetric differential operator on the half line
In this article we study the spectral function for a nonsymmetric differential operator on the half line. Two cases of the coefficient matrix are considered, and for each case we prove by Marchenko's method that, to the boundary value problem, there ...
Wuqing Ning
doaj
Transformation Operator for Sturm-Liouville Operators with Growing Potentials
Summary: This paper considers a pair of Sturm-Liouville operators \(A=- \frac{d^2}{dx^2}+cx^{\alpha}\) and \(B=-\frac{d^2}{dx^2}+cx^{\alpha}+q(x)\) on the semi-axis \([0,\infty), c=const, \alpha \geq 1\). A transformation operator with a condition at infinity is constructed for the operators \(A\) and \(B\).
Orudzhev, E. G., Rzayeva, G. F.
openaire +2 more sources

