Sturm-Liouville equation
On an Inverse Scattering Problem for a Discontinuous Sturm-Liouville Equation with a Spectral Parameter in the Boundary Condition
... discontinuous Sturm-Liouville equation on the half-line 0, ∞ with a linear spectral parameter in the boundary ...fundamental equation is derived, which is different from the classical Marchenko ...
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Eigenfunction expansion of the Sturm-Liouville equation with a non-local boundary condition
... For the solution of problem (1.1) when ρ (x) 6= 1 under different conditions the spectral expansion formula was investigated with different methods in [7]-[9]. In present work we find the eigenfunction expansion formula ...
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The numerical values of the nodal points for the Sturm-Liouville equation with one turning point
... [3] A. J. Akbarfam and A. B. Mingarelli, The canonical product of the solution of the Sturm- Liouville equation in one turning point case, Canad. Appl. Math. Quart., 13(4) (2000), 305–320. [4] V. A. ...
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Inverse nodal problem for p-Laplacian energy-dependent Sturm-Liouville equation
... Schrödinger equation with energy-dependent potential function with the Dirichlet ...p-Laplacian Sturm-Liouville ...p-Laplacian Sturm-Liouville equation with eigenparameter ...
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On a Boundary Value Problem for a Polynomial Pencil of the Sturm Liouville Equation with Spectral Parameter in Boundary Conditions
... the Sturm-Liouville equation called transformation oper- ...for Sturm-Liouville equation and quadratic pencil of the Sturm-Liouville equation are constructed ...
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Uniqueness of the potential function for the vectorial Sturm-Liouville equation on a finite interval
... scalar Sturm-Liouville equation. The scalar Sturm-Liouville equation often arises from some physical problems, for example, vibration of a string, quantum mechanics and geophy- ...
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ON THE MULTIPLE SOLUTIONS OF A NONHOMOGENEOUS STURM-LIOUVILLE EQUATION WITH NONLOCAL BOUNDARY CONDITIONS
... Abstract: In this work, we are concerned with a nonlocal boundary value problem of nonhomogeneous Sturm-Liouville equation. Then existence of at least one solution will be proved. The spectral ...
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On an Inverse Problem for Sturm-Liouville Equation
... for Sturm-Liouville problem is investigated prop- erties of eigenvalues and eigenfunctions, finding normalizing numbers, spectrum set of the boundary value problem, scattering data and some other ...
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On the determination of asymptotic formula of the nodal points for the Sturm-Liouville equation with one turning point
... elasticity, optics, geophysics(see [6,8,11] and the references therein). Inverse spectral problems consist in recovering operators from their spectral characteristics. The first spectral problem was given by Am- ...
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Asymptotic distributions of Neumann problem for Sturm-Liouville equation
... order equation of Sturm-liouville type on [0, π] with Neumann conditions (y ′ (0) = y ′ (π) = 0) where q is a real-valued Sign-indefinite number of C 1 [0, π] and λ is a real ...
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Comparison of methods for the calculation of superparamagnetic relaxation times
... in the range 0.1–0.2, Garanin @ 11 # has been able to give a clear physical explanation of the numerical results of Coffey et al. @ 8 # . He has accomplished this by demonstrating that in the above range of h the ...
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Non-real eigenvalues of nonlocal indefinite Sturm–Liouville problems
... indefinite Sturm–Liouville problems have attracted a lot of attention in re- cent years since the diversity and complexity of biomathematics models, transport mod- els, population dynamic systems and ...
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Asymptotic Formulas of the Solutions and the Trace Formulas for the Polynomial Pencil of the Sturm Liouville Operators
... This work studies the asymptotic formulas for the solutions of the Sturm-Liouville equation with the polynomial dependence in the spectral parameter. Using these asymptotic formulas it is proved some ...
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An inverse three spectra problem for Sturm–Liouville operators
... the Sturm–Liouville equation by the spectra of the Neumann–Dirichlet boundary value problem on [0, 1], the Neumann–Robin problem on [0, 1/2], and the Robin–Dirichlet problem on [1/2, 1], where the ...
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Sturm-Liouville Matrix Equation for the Study of Electromagnetic-Waves Propagation in Layered Anisotropic Media
... the Sturm-Liouville matrix equation pattern (see, for example [1, 2] and [3], and citations ...the Sturm-Liouville equation in matrix ...
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On the eigenvalues and the eigenfunctions of the Sturm-Liouville fuzzy boundary value problem
... fuzzy Sturm-Liouville equation is defined and the eigenvalues and the eigenfunctions of the Sturm-Liouville fuzzy boundary value problem are examined by using Hukuhara ...the ...
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Download Download PDF
... the Sturm–Liouville equation with a piecewise- entire potential function and the discontinuity conditions for solutions on a rectifiable curve γ ⊂ C by the transfer matrix along this curve is ...the ...
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Infinite product representation of solution of indefinite SturmLiouville problem
... of Sturm-Liouville equation (1) with multiple singularities and turning points was realized by Freiling and Yurko [5] and Eberhard, Freiling and Stoeber in ...for equation (1) with ...
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Spectral analysis of the matrix Sturm–Liouville operator
... are called the Weyl solution and the Weyl matrix of the problem L, respectively. Weyl ma- trices generalize Weyl functions for scalar differential operators (see [1, 3]) and play an important role in inverse problem ...
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Study of the asymptotic eigenvalue distribution and trace formula of a second order operator-differential equation
... The purpose of writing this article is to show some spectral properties of the Bessel operator equation, with spectral parameter-dependent boundary condition. This problem arises upon separation of variables in ...
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