Results 21 to 30 of about 6,031,844 (195)
The Green's function for Caputo fractional boundary value problem with a convection term
AIMS Mathematics, 2022 By using the operator theory, we establish the Green's function for Caputo fractional differential equation under Sturm-Liouville boundary conditions. The results are new, the method used in this paper will provide some new ideas for the study of this ...
Youyu Wang, Xianfei Li, Yue Huang
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Inverse Spectral Theory for Sturm-Liouville Operators with Distributional Potentials [PDF]
, 2013 We discuss inverse spectral theory for singular differential operators on arbitrary intervals $(a,b) \subseteq \mathbb{R}$ associated with rather general differential expressions of the type \[\tau f = \frac{1}{r} \left(- \big(p[f' + s f]\big)' + s p[f' +
Eckhardt, Jonathan +3 more
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Spectral analysis of the matrix Sturm–Liouville operator
Boundary Value Problems, 2019 The self-adjoint matrix Sturm–Liouville operator on a finite interval with a boundary condition in general form is studied. We obtain asymptotic formulas for the eigenvalues and the weight matrices of the considered operator.
Natalia P. Bondarenko
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Spectral properties of singular Sturm-Liouville operators with indefinite weight sgn x [PDF]
, 2007 We consider a singular Sturm-Liouville expression with the indefinite weight sgn x. To this expression there is naturally a self-adjoint operator in some Krein space associated.
Karabash, I., Trunk, C.
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Application of approximation theory by nonlinear manifolds in Sturm-Liouville inverse problems
, 2006 We give here some negative results in Sturm-Liouville inverse theory, meaning that we cannot approach any of the potentials with $m+1$ integrable derivatives on $\mathbb{R}^+$ by an $\omega$-parametric analytic family better than order of $(\omega\ln ...
Amadeo Irigoyen +11 more
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On the existence of generalised syzygies in the planar three-body problem
Comptes Rendus. Mathématique, 2023 We consider the Newtonian planar three-body problem. One defines a generalised syzygy as a configuration where the three bodies or their velocities become collinear.
Tsygvintsev, Alexei
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Spectral partitions for Sturm-Liouville problems
, 2018 We look for best partitions of the unit interval that minimize certain functionals defined in terms of the eigenvalues of Sturm-Liouville problems. Via \Gamma-convergence theory, we study the asymptotic distribution of the minimizers as the number of ...
Tilli, Paolo, Zucco, Davide
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An Extension of The First Eigen-type Ambarzumyan theorem
, 2019 An extension of the first eigenvalue-type Ambarzumyan's theorem are provided for the arbitrary self-adjoint Sturm-Liouville differential operators.
Kıraç, Alp Arslan
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Density-potential mappings in quantum dynamics
, 2012 In a recent letter [Europhys. Lett. 95, 13001 (2011)] the question of whether the density of a time-dependent quantum system determines its external potential was reformulated as a fixed point problem.
A. Bielecki +15 more
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, 2012 A new approach is proposed to the solution of the quantum mechanical inverse scattering problem at fixed energy. The method relates the fixed energy phase shifts to those arising in an auxiliary Sturm-Liouville problem via the interpolation theory of the
Apagyi B +13 more
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