Results 111 to 120 of about 10,340 (200)

Data-driven discovery of Green's functions with human-understandable deep learning. [PDF]

Sci Rep, 2022
Boullé N, Earls CJ, Townsend A.
europepmc   +1 more source

A Study of the Generalized Gabor Transform with Applications to Reproducing Kernel Theory

Mathematics
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]

Opt Quantum Electron, 2023
Faridi WA, Asjad MI, Jhangeer A, Yusuf A, Sulaiman TA.   +4 more
europepmc   +1 more source

Donoghue 𝑚-functions for Singular Sturm–Liouville operators

St. Petersburg Mathematical Journal
Let A ˙ \dot {A} be a densely defined, closed, symmetric operator in the complex, separable Hilbert space H \mathcal {H} with equal deficiency indices and denote by N i = ker ⁡ ( (
Gesztesy, F., Littlejohn, L. L., Nichols, R., Piorkowski, M., Stanfill, J.   +4 more
openaire   +2 more sources

Operational matrices based on the shifted fifth-kind Chebyshev polynomials for solving nonlinear variable order integro-differential equations. [PDF]

Adv Differ Equ, 2021
Jafari H, Nemati S, Ganji RM.
europepmc   +1 more source

Positive solutions for multipoint boundary-value problem with parameters

Electronic Journal of Differential Equations, 2008
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  

The Resolvent of Impulsive Singular Hahn–Sturm–Liouville Operators

Annales Mathematicae Silesianae
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., Tuna Hüseyin, Isayev Hamlet A.   +2 more
doaj   +1 more source

Two Chebyshev Spectral Methods for Solving Normal Modes in Atmospheric Acoustics. [PDF]

Entropy (Basel), 2021
Wang Y, Tu H, Liu W, Xiao W, Lan Q.
europepmc   +1 more source

A three-dimensional fractional solution for air contaminants dispersal in the planetary boundary layer. [PDF]

Heliyon, 2021
Tankou Tagne AS, Ele Abiama P, Ema'a Ema'a JM, Owono Ateba P, Ben-Bolie GH.   +4 more
europepmc   +1 more source

Transformation Operator for Sturm-Liouville Operators with Growing Potentials

Azerbaijan Journal of Mathematics
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