Results 81 to 90 of about 5,721 (217)
A Sturm-Liouville problem with a discontinuous coefficient and containing an eigenparameter in the boundary condition [PDF]
, 2013 We study a Sturm-Liouville operator with eigenparameter-dependent boundary conditions and transmission conditions at two interior points. We give an operator-theoretic formulation, construct fundamental solutions, investigate some properties of the ...
Şen, Erdoğan
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Special functions and generalized Sturm-Liouville problems
, 2020 This book discusses theoretical and applied aspects of Sturm-Liouville theory and its generalization. It introduces and classifies generalized Sturm-Liouville problems in three different spaces: continuous, discrete, and q-discrete spaces, focusing on ...
Masjed-Jamei, Mohammad
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On Hochstadt-Lieberman Theorem For Sturm-Liouville Operators
, 2011 The inverse spectral problem of the Sturm-Liouville operator Lq = -d2/dx2 +q(x) is considered, where q(x) is an integrable function on (0,1).
Shieh, Chung-tsun; Buterin, S. A.; Ignatiev, Mikhail +1 more
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Inverse Sturm-Liouville problems with fixed boundary conditions
Electronic Journal of Differential Equations, 2015 Necessary and sufficient conditions for two sequences $\{\mu_n\}_{n=0}^\infty$ and $\{ a_n\}_{n=0}^\infty$ to be the spectral data for a certain Sturm-Liouville problem are well known.
Yuri A. Ashrafyan, Tigran N. Harutyunyan
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International Journal of Mathematics and Mathematical Sciences, 2003 We consider Euler equations with stratified background state that is valid for internal water waves. The solution of the initial-boundary problem for Boussinesq approximation in the waveguide mode is presented in terms of the stream function.
A. A. Halim +2 more
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Inverse Problems for the Quadratic Pencil of the Sturm-Liouville Equations with Impulse
Abstract and Applied Analysis, 2013 In this study some inverse problems for a boundary value problem generated with a quadratic pencil of Sturm-Liouville equations with impulse on a finite interval are considered.
Rauf Kh. Amırov, A. Adiloglu Nabıev
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Recovering the Sturm-Liouville Operator with Singular Potential Using Nodal Data
, 2011 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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NONLINEAR SINGULAR STURM-LIOUVILLE PROBLEMS WITH IMPULSIVE CONDITIONS [PDF]
, 2019 In this paper, we consider a non-linear impulsive Sturm-Liouville problem on semiinfinite intervals in which the limit-circle case holds at infinity for THE Sturm-Liouville expression.
Allahverdiev, Bilender P., Tuna, Husein
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On characteristic functions of equilateral regular star-trees [PDF]
Математичні Студії, 2012 A spectral problem generated by the Sturm-Liouville equation on the edges of a regular equilateral finite star-tree with the Dirichlet boundary conditions at the pendant vertices and continuity and Kirchhoff's conditions at the interior vertices is ...
N. A. Rozhenko
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Linear second-order problems with Sturm-Liouville-type multi-point boundary conditions
Electronic Journal of Differential Equations, 2012 We consider the eigenvalue problem for the equation $-u'' = lambda u$ on $(-1,1)$, together with general Sturm-Liouville-type, multi-point boundary conditions at $pm 1$. We show that the basic spectral properties of this problem are similar to those
Bryan P. Rynne
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