Some properties of eigenfunctions for the equation of vibrating beam with a spectral parameter in the boundary conditions
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DOI: 10.1016/j.jde.2020.01.010
Abstract: Abstract In this paper we consider a spectral problem for ordinary differential equations of fourth order with the spectral parameter contained in three of the boundary conditions. We study the oscillatory properties of the eigenfunctions… read more here.
Keywords: eigenfunctions equation; boundary conditions; properties eigenfunctions; spectral parameter ... See more keywords
Renormalized oscillation theory for symplectic eigenvalue problems with nonlinear dependence on the spectral parameter
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2020.1748020
Abstract: ABSTRACT In this paper, we establish new renormalized oscillation theorems for discrete symplectic eigenvalue problems with Dirichlet boundary conditions. These theorems present the number of finite eigenvalues of the problem in the arbitrary interval using… read more here.
Keywords: renormalized oscillation; eigenvalue problems; symplectic eigenvalue; spectral parameter ... See more keywords
Basis Properties in Lp of a Sturm-Liouville Operator with Spectral Parameter in the Boundary Conditions
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DOI: 10.1134/s0012266119020010
Abstract: The Sturm-Liouville operator with spectral parameter in the boundary conditions is considered, and sufficient conditions for the basis property of the system of eigenfunctions of this operator in the space Lp(0, 1), 1 < p… read more here.
Keywords: operator spectral; boundary conditions; parameter boundary; sturm liouville ... See more keywords
Gellerstedt Type Directional Derivative Problem for an Equation of the Mixed Type with a Spectral Parameter
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DOI: 10.1134/s0012266119100124
Abstract: For a two-dimensional equation of the mixed type with a spectral parameter, we consider a boundary value problem with a directional derivative on a half-circle and the Dirichlet condition on characteristic segments. The problem is… read more here.
Keywords: equation mixed; type spectral; mixed type; spectral parameter ... See more keywords
Asymptotic Behavior of Eigenvalues of a Boundary Value Problem for a Second-Order Elliptic Differential–Operator Equation with Spectral Parameter in the Equation and a Boundary Condition
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DOI: 10.1134/s0012266120020056
Abstract: Abstract In a separable Hilbert space $$H$$ , we study the asymptotic behavior of eigenvalues of a boundary value problem for second-order elliptic differential–operator equations for the case in which the spectral parameter occurs in… read more here.
Keywords: value problem; boundary value; spectral parameter; equation ... See more keywords
Numerical solution of vector Sturm–Liouville problems with Dirichlet conditions and nonlinear dependence on the spectral parameter
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DOI: 10.1134/s0965542517090020
Abstract: A numerical-analytical iterative method is proposed for solving generalized self-adjoint regular vector Sturm–Liouville problems with Dirichlet boundary conditions. The method is based on eigenvalue (spectral) correction. The matrix coefficients of the equations are assumed to… read more here.
Keywords: sturm liouville; problems dirichlet; vector sturm; spectral parameter ... See more keywords
Asymptotic behavior of the solutions for the Laplace equation with a large spectral parameter and the inhomogeneous Robin type conditions
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DOI: 10.18910/67751
Abstract: Reduced problems are elliptic problems with a large parameter (as the spectral parameter) given by the Laplace transform of time dependent problems. In this paper, asymptotic behavior of the solutions of the reduced problem for… read more here.
Keywords: asymptotic behavior; robin type; spectral parameter; equation ... See more keywords