Search Results - Spectral theory and eigenvalue problems for partial differential equations

Eigenvalue problem for partial differential equations with deviating arguments and perturbation theory by Sidorov, A. M.

“…In this paper we formulate a spectral problem for partial differential equations with deviating arguments and give a justification of the perturbation method…”
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Jacobi-Galerkin spectral method for eigenvalue problems of Riesz fractional differential equations by Chen, Lizhen, Mao, Zhiping, Li, Huiyuan

“…An efficient Jacobi-Galerkin spectral method for calculating eigenvalues of Riesz fractional partial differential equations with homogeneous Dirichlet boundary values is proposed in this paper…”
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Spectral theory of partial differential equations by Laugesen, Richard S.

“… Spectral methods permeate the theory of partial differential equations. Linear PDEs are often solved by separation of variables, getting eigenvalues when the spectrum is discrete and continuous spectrum when it is…”
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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 by Aliev, B. A., Kerimov, V. Z.

“…In a separable Hilbert space , we study the asymptotic behavior of eigenvalues of a boundary value problem for second-order elliptic differential…”
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Sturmian Theorems, Asymptotic Behavior for Eigenvalues, and Spectral Theory for Ordinary Differential Equations with Distributional Coefficients by Nguyen, Minh

“…, and the theory of linear relation associated with these differential equations. In the second chapter, we study the spectral theory of the first order equation with distributional coefficients…”
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Double chebyshev solution of eigenvalue problems for partial differential equations by El-Hawary, H. M.

“…Particular spectral method based on an expansion in double Chebyshev polynomials is proposed to solve a number of eigenvalue problems defined by partial differential equations with constant and variable coefficients…”
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Calculation of eigenvalues in a nonlinear spectral problem for the Hamiltonian systems of ordinary differential equations

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The Inverse Eigenvalue Problem with Finite Data for Partial Differential Equations by Barnes, David C., Knobel, Roger

“…This work is concerned with the inverse eigenvalue problem for the partial differential equation $\nabla ^2 u + (\lambda - q(x,y))u = 0…”
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Spectral Theory of Partial Differential Equations - Lecture Notes by Laugesen, Richard S

“…This mini-course of 20 lectures aims at highlights of spectral theory for self-adjoint partial differential operators, with a heavy emphasis on problems with discrete spectrum. Part I: Discrete Spectrum…”
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On the number of an eigenvalue of a general nonlinear self-adjoint spectral problem for systems of ordinary differential equations by Abramov, A. A., Ul’yanova, V. I., Yukhno, L. F.

“…In the case of a general nonlinear self-adjoint spectral problem for systems of ordinary differential equations with boundary conditions independent of the spectral parameter, we introduce the notion…”
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Double ultraspherical solution of eigenvalue problems for partial differential equations by El-Hawary, H.M.

“…Particular spectral method based on an expansion in double ultraspherical polynomials is proposed to solve a number of eigenvalue problems defined by partial differential equations with constant…”
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Double Chebyshev solutions of eigenvalue problems for partial differential equations by EL-HAWARY, H. M

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Spectral Theory and its Application to Differential Eigenvalue Problems by McEwen, W. H.

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Spectral Theory and its Application to Differential Eigenvalue Problems by McEwen, W. H.

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On Counting the Number of Eigenvalues in the Right Half-Plane for Spectral Problems Connected with Hyperbolic Systems. II. Differential Equations by Skazka, V. V.

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Asymptotic Behavior of Eigenvalues of a Boundary Value Problem for a Second-Order Elliptic Differential-Operator Equation with Spectral Parameter Quadratically Occurring in the Boundary Condition by Aliev, B. A.

“…The asymptotic behavior of eigenvalues of a boundary value problem for a secondorder differential-operator equation in a separable Hilbert space on a finite interval is studied for the case…”
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Determination of the number of an eigenvalue of a singular nonlinear self-adjoint spectral problem for a linear Hamiltonian system of differential equations by Abramov, A. A., Ul’yanova, V. I., Yukhno, L. F.

“…We suggest a method for determining the number of an eigenvalue of a self-adjoint spectral problem nonlinear with respect to the spectral parameter, for some class of Hamiltonian systems of ordinary…”
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Applications of Complex Variables to Spectral Theory and Completely Integrable Partial Differential Equations by Nabelek, Patrik V

“… We formulate the inverse spectral problem for Hill's operators with bounded periodic potentials as a Riemann…”
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The effect of a new two-point nonlocal condition on the eigenvalue problem of the difference scheme for an elliptic partial differential equation by Helal, S.M., Elmekawy, A.

“… eigenvalue problem for an elliptic partial differential equation in one and two dimensions…”
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Eigenvalue Problems for Fully Nonlinear Elliptic Partial Differential Equations with Transport Boundary Conditions by Lesniewski, Jacob

“…Fully nonlinear elliptic partial differential equations (PDEs) arise in a number of applications…”
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