Results 31 to 40 of about 29,873 (226)
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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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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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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Study on Infinitely Many Solutions for a Class of Fredholm Fractional Integro-Differential System
Fractal and Fractional, 2022 This paper deals with a class of nonlinear fractional Sturm–Liouville boundary value problems. Each sub equation in the system is a fractional partial equation including the second kinds of Fredholm integral equation and the p-Laplacian operator ...
Dongping Li, Yankai Li, Fangqi Chen
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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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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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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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, 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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Abstract and Applied Analysis, 2014 The Sturm-Liouville boundary-value problem for fourth-order impulsive differential equations is studied. The existence results for one solution and multiple solutions are obtained.
Yu Tian, Dongpo Sun
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Electronic Journal of Qualitative Theory of Differential Equations, 2020 This paper investigates solutions for subquadratic convex or $B$-concave operator equations. First, some existence results are obtained by the index theory and the critical point theory.
Mingliang Song
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