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Articles 1 - 8 of 8
Full-Text Articles in Physical Sciences and Mathematics
A Generalised Spectral Problem For The Ordinary Differential Equation With Discontinuous Coefficient, A. Urinov,, F. Fozilova
A Generalised Spectral Problem For The Ordinary Differential Equation With Discontinuous Coefficient, A. Urinov,, F. Fozilova
Scientific journal of the Fergana State University
In the article a generalised spectral problem with the second kind integral condition for the linear ordinary differential equation with discontinuous coefficient is investigated. Eigenvalues and eigenfunctions of the considered problem are found out.
A Generalised Spectral Problem For The Ordinary Differential Equation With Discontinuous Coefficient, A. Urinov,, F. Fozilova
A Generalised Spectral Problem For The Ordinary Differential Equation With Discontinuous Coefficient, A. Urinov,, F. Fozilova
Scientific journal of the Fergana State University
In the article a generalised spectral problem with the second kind integral condition for the linear ordinary differential equation with discontinuous coefficient is investigated. Eigenvalues and eigenfunctions of the considered problem are found out.
A Generalised Spectral Problem For The Ordinary Differential Equation With Discontinuous Coefficient, A. Urinov,, F. Fozilova
A Generalised Spectral Problem For The Ordinary Differential Equation With Discontinuous Coefficient, A. Urinov,, F. Fozilova
Scientific journal of the Fergana State University
In the article a generalised spectral problem with the second kind integral condition for the linear ordinary differential equation with discontinuous coefficient is investigated. Eigenvalues and eigenfunctions of the considered problem are found out.
Radial Basis Function Generated Finite Differences For The Nonlinear Schrodinger Equation, Justin Ng
Radial Basis Function Generated Finite Differences For The Nonlinear Schrodinger Equation, Justin Ng
Theses and Dissertations
Solutions to the one-dimensional and two-dimensional nonlinear Schrodinger (NLS) equation are obtained numerically using methods based on radial basis functions (RBFs). Periodic boundary conditions are enforced with a non-periodic initial condition over varying domain sizes. The spatial structure of the solutions is represented using RBFs while several explicit and implicit iterative methods for solving ordinary differential equations (ODEs) are used in temporal discretization for the approximate solutions to the NLS equation. Splitting schemes, integration factors and hyperviscosity are used to stabilize the time-stepping schemes and are compared with one another in terms of computational efficiency and accuracy. This thesis shows …
Spectrum And Scattering Function Of The Impulsive Discrete Dirac Systems, Elgiz Bairamov, Şeyda Solmaz
Spectrum And Scattering Function Of The Impulsive Discrete Dirac Systems, Elgiz Bairamov, Şeyda Solmaz
Turkish Journal of Mathematics
In this paper, we investigate analytical and asymptotic properties of the Jost solution and Jost function of the impulsive discrete Dirac equations. We also study eigenvalues and spectral singularities of these equations. Then we obtain characteristic properties of the scattering function of the impulsive discrete Dirac systems. Therefore, we find the Jost function, point spectrum, and scattering function of the unperturbed impulsive equations.
On The Solution Of An Inverse Sturm-Liouville Problem With A Delay And Eigenparameter-Dependent Boundary Conditions, Seyfollah Mosazadeh
On The Solution Of An Inverse Sturm-Liouville Problem With A Delay And Eigenparameter-Dependent Boundary Conditions, Seyfollah Mosazadeh
Turkish Journal of Mathematics
In this paper, a boundary value problem consisting of a delay differential equation of the Sturm-Liouville type with eigenparameter-dependent boundary conditions is investigated. The asymptotic behavior of eigenvalues is studied and the parameter of delay is determined by eigenvalues. Then we obtain the connection between the potential function and the canonical form of the characteristic function.
W1,P Regularity Of Eigenfunctions For The Mixed Problem With Nonhomogeneous Neumann Data, Kohei Miyazaki
W1,P Regularity Of Eigenfunctions For The Mixed Problem With Nonhomogeneous Neumann Data, Kohei Miyazaki
Murray State Theses and Dissertations
We consider an eigenvalue problem with a mixed boundary condition, where a second-order differential operator is given in divergence form and satisfies a uniform ellipticity condition. We show that if a function u in the Sobolev space W1,pD is a weak solution to the eigenvalue problem, then u also belongs to W1,pD for some p>2. To do so, we show a reverse Hölder inequality for the gradient of u. The decomposition of the boundary is assumed to be such that we get both Poincaré and Sobolev-type inequalities up to the boundary.
Comparing Two Thickened Cycles: A Generalization Of Spectral Inequalities, Hannah E. Pieper
Comparing Two Thickened Cycles: A Generalization Of Spectral Inequalities, Hannah E. Pieper
Honors Papers
Motivated by an effort to simplify the Watts-Strogatz model for small-world networks, we generalize a theorem concerning interlacing inequalities for the eigenvalues of the normalized Laplacians of two graphs differing by a single edge. Our generalization allows weighted edges and certain instances of self loops. These inequalities were first proved by Chen et. al in [2] but our argument generalizes the simplified argument given by Li in [8].