Data-driven discovery of Green's functions with human-understandable deep learning. [PDF]
Boullé N, Earls CJ, Townsend A.
europepmc +1 more source
Bounded variation solutions to Sturm-Liouville problems
In this article we consider singular Sturm-Liouville problems whose right-hand side is a function of bounded Jordan variation.
Jacek Gulgowski
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This paper is devoted to a new type of boundary-value problems for Sturm-Liouville equations defined on three disjoint intervals (−π,−π+d),(−π+d,π−d) and (π−d,π) together with eigenparameter dependent boundary conditions and with additional transmission
H. Olǧar, F. Muhtarov, O. Mukhtarov
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A three-dimensional fractional solution for air contaminants dispersal in the planetary boundary layer. [PDF]
Tankou Tagne AS +4 more
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Numerical study of the Sturm-Liouville problem
Summary: The article discusses the general Sturm-Liouville problem. To solve it numerically, a new algorithm is proposed, which is based on the variational principle and does not use saturation. The problem of constructing numerical methods for solving eigenvalue problems can be divided into two stages. First, we need to reduce the infinite-dimensional
Algazin, S.D., Sinitsyn, A.A.
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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.
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Recovering the Sturm-Liouville Operator with Singular Potential Using Nodal Data
The paper deals with the Sturm-Liouville operator with singular potential. We assume that the potential is a sum of an a priori known distribution from a certain class and an unknown sufficiently smooth function.
Ignatiev, Mikhail Yu; Shieh, Chung-Tsun
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Optimal data acquisition in tomography. [PDF]
Javidan M +3 more
europepmc +1 more source
Inequalities and eigenvalues of Sturm-Liouville problems near a singular boundary
We study the behavior of eigenvalues of Sturm-Liouville problems (SLP) when an endpoint of the underlying interval approaches a singularity.
Marletta M, Zettl A, Everitt WN
doaj
Multi-interval Sturm–Liouville boundary-value problems with distributional potentials
We study the multi-interval boundary-value Sturm–Liouville problems with distributional potentials. For the corresponding symmetric operators boundary triplets are found and the constructive descriptions of all self-adjoint, maximal dissipative and ...
A. S. Goriunov
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