Sturm-Liouville problem
Homotopy perturbation method for eigenvalues of non-definite Sturm-Liouville problem
... Abstract In this paper, we consider the application of the homotopy perturbation method (HPM) to compute the eigenvalues of the Sturm-Liouville problem (SLP) which is called non-definite SLP. Two ...
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Sturm-Liouville problem with moving discontinuity points
... The Sturm-Liouville theory plays an important role in solving many mathematical physics problems ...related Sturm-Liouville problem in which the separation constant plays the role of a ...
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Sampling theorems for Sturm-Liouville problem with moving discontinuity points
... with Sturm-Liouville problems were investigated in ...with Sturm-Liouville problems in ...discontinuous Sturm-Liouville problem which had transmission conditions at one ...
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A discontinuous Sturm–Liouville problem with boundary conditions rationally dependent on the eigenparameter
... discontinuous Sturm–Liouville problem with both of the boundary conditions rationally dependent on the eigenparameter ...a problem coincide with those of ...
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Solving an Inverse Sturm-Liouville Problem by a Lie-Group Method
... inverse Sturm- Liouville problem in Section 2 by transforming it into an identification problem of a parabolic type PDE, and then discretizing the PDE into a system of ODEs at discretized ...
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On a Non Definite Sturm Liouville Problem in the Two Turning Point Case—Analysis and Numerical Results
... non-definite Sturm-Liouville problem comprising of a regular Sturm-Liouville equation and Dirichlet boundary conditions on a closed in- ...the problem, from which we verify ...
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New results of positive solutions for the Sturm-Liouville problem
... In this paper, by establishing some inequalities (see, for example, Theorem . and Lemma .) we shall prove new existence results of positive solutions for the superlin- ear Sturm-Liouville problem ...
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Green’s Function Solution of Non-homogenous Singular Sturm-Liouville Problem
... to Sturm- Liouville problem and Dirac systems, studying mainly oscillation theory and absolute continuity of the ...the problem of existence of self-adjoint realizations with separated ...
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Asymptotics of Eigenvalues for Sturm-Liouville Problem with Eigenvalue in the Boundary Condition for Differentiable Potential
... This problem ( ) differs from the usual regular Sturm-Liouville problem in the sense that eigenvalue parameter λ is contained in the boundary condition at a ...this problem is ...
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Sturm Liouville problem and numerical method of fractional diffusion equation on fractals
... This paper is organized as follows. In the second part, we deal with the singular Sturm- Liouville problem. In the third part, we discuss the numerical method, which contains a stability and ...
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Variational principles for spectral analysis of one Sturm Liouville problem with transmission conditions
... of Sturm-Liouville problems for spectral methods lies in the fact that the spectral approximation of the solution of a differential equation is usually regarded as a finite expansion of eigenfunctions of a ...
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Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition
... and Sturm-Liouville problem with eigen-parameter in the boundary conditions has been shown in ...same problem and the wave equation has been examined in [, ]. Sturm- Liouville ...
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Inverse nodal problem for p-Laplacian energy-dependent Sturm-Liouville equation
... nodal problem is solved for p-Laplacian Schrödinger equation with energy-dependent potential function with the Dirichlet ...p-Laplacian Sturm-Liouville ...nodal problem for the classical ...
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Comparison of methods for the calculation of superparamagnetic relaxation times
... the problem has been made in the series of papers by Coffey and co-workers @ 7–10 # ...a Sturm-Liouville problem, they have used a Floquet ap- proach @ 12,13 # whereby the solution is expanded ...
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Sturm-liouville boundary value problems and their properties
... the Sturm- Liouville boundary value problem ...this problem actually has eigenvalues and eigenfunctions. If the Sturm-Liouville problem ...of Sturm-Liouville ...
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Liquid phase mass transfer at low flow rates in a packed column
... matrix notation used in numerical solution of Sturm-Liouville problem concentration of transferring materia.l measured steady-state mean concentration in the column dimensionless concent[r] ...
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Inverse problem for Sturm-Liouville operators with a transmission and parameter dependent boundary conditions
... spectral Sturm–Liouville problem can be regarded as three aspects, ...above problem using two sets of spectra, or one spectrum plus part of a set of value of eigenfunctions at an interior ...
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Eigenparameter dependent inverse boundary value problem for a class of Sturm-Liouville operator
... dependent Sturm-Liouville problems, ...the Sturm-Liouville problem but also in the boundary conditions, are given in ...discontinuous Sturm-Liouville problems are examined ...
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Sampling theorem associated with q-Dirac system
... The WKS (Whittaker-Kotel’nikov-Shannon) [17 − 19] sampling theorem has been general- ized in many different ways. The connection between the WKS sampling theorem and bound- ary value problems was first observed by Weiss ...
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Asymptotic distributions of Neumann problem for Sturm-Liouville equation
... of Sturm-Liouville problem with the Dirichlet boundary conditions are obtained by using homotopy perturbation ...this problem and exhibit higher order terms in the asymptotic expansions by ...
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