Liouville equation
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
... Abstract An inverse nodal problem has first been studied for the Sturm-Liouville equation with one turning point. The asymptotic representation of the corresponding eigen- functions of the eigenvalues has ...
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Inverse nodal problem for p-Laplacian energy-dependent Sturm-Liouville equation
... In this study, the inverse nodal problem is solved for p-Laplacian Schrödinger equation with energy-dependent potential function with the Dirichlet conditions. Asymptotic estimates of eigenvalues, nodal points and ...
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On Equivalence of Quantum Liouville Equation and Metric Compatibility Condition, a Ricci Flow Approach
... quantum Liouville equation and metric compatibility condition ∇ = 0 while covariant derivative of metric tensor has been calculated respect to Wick rotated time ...
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Uniqueness of the potential function for the vectorial Sturm-Liouville equation on a finite interval
... 2 + 1 characteristic functions can determine the potential function uniquely. Moreover, if only the spectral data of self-adjoint problems are considered, then m 2 + 1 spectral data can determine Q ( x ) uniquely. ...
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Linearization of the Liouville Equation, Multiple Splits of the Chandler Frequency, Markowitz Wobbles, and Error Analysis
... the Liouville equation through which the Earth’s non-rigidity is correctly ...the Liouville equation, as well as a systematic examination of the fundamental physics of the rotation of a ...
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On a Boundary Value Problem for a Polynomial Pencil of the Sturm Liouville Equation with Spectral Parameter in Boundary Conditions
... Sturm-Liouville equation called transformation oper- ...Sturm-Liouville equation and quadratic pencil of the Sturm-Liouville equation are constructed and studied in [12] [13] and ...
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\(\operatorname{Spin}(7)\) structure equation and the vector elliptic Liouville equation
... The paper is organized as follows. Section 2 gives preliminaries about the octonions, Spin(7) and Spin(7)-structure equations. In Sect. 3 we construct complexified Spin(7)- frame field along curves and establish a related ...
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NUMERICAL SOLUTION OF AN INVERSE PROBLEM FOR THE LIOUVILLE EQUATION
... There have been many works on the direct problems for the Liouville equation, [See, e. g. 9]. As for the inverse problems, we refer to [1, 3], where the uniqueness of the solution was investigated. ...
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Heisenberg Uncertainty Relation in Quantum Liouville Equation
... Vlasov equation 7, 8 provides the probability density of finding a single particle at the position x with speed v at the time t x and v are vectors belonging to the ordinary three-dimensional ...the ...
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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 properties of ...
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On an Inverse Problem for Sturm-Liouville Equation
... Abstract. In this study, the theorem on necessary and sufficient conditions for the solvability of inverse problem for Sturm-Liouville operator with discontinuous coefficient is proved and the algorithm of ...
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Asymptotic distributions of Neumann problem for Sturm-Liouville equation
... Recently a great deal of interest has been focused on the application of homotopy perturbation method, because this method is to continuously deform a simple prob- lem, easy to solve, in to the difficult problem under ...
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Infinite product representation of solution of indefinite SturmLiouville problem
... Sturm- Liouville equation with an indefinite weight function which has two zeros and/or singularities in a finite ...Sturm-Liouville equation, we obtain the asymptotic behavior of it’s ...
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Download Download PDF
... Sturm–Liouville equation with three independent coefficients on a line segment can be transformed into the classical Sturm–Liouville equation on a curve in the complex plane by corresponding ...
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The Master Equation and the Pauli Equation in the Fuzzy Time Model
... The Liouville equation is solved by the method of successive ap- proximations in the time domain of a much larger characteristic scale of fuz- ziness, using interaction as a small ...the Liouville ...
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On the eigenvalues and the eigenfunctions of the Sturm-Liouville fuzzy boundary value problem
... Sturm-Liouville equation is defined and the eigenvalues and the eigenfunctions of the Sturm-Liouville fuzzy boundary value problem are examined by using Hukuhara ...
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Solutions of Zhiber Shabat and Related Equations Using a Modified tanh coth Function Method
... Zhiber-Shabat equation, and the related equations: Liouville equation, sinh-Gordon equation Dodd-Bullough- Mikhailov equation, and the Tzitzeica-Dodd-Bullough equation were ...
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Geometrical interpretations of Bäcklund transformations and certain types of partial differential equations : a thesis presented in partial fulfilment of the requirements for the degree of Master of Science in Mathematics at Massey University
... We then illustrate how some well known PDEs such as the Schrodinger equation, the sine-Gordon equation, the Liouville equation and the Monge-Ampere equation can be generated from the Gau[r] ...
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Asymptotic Formulas of the Solutions and the Trace Formulas for the Polynomial Pencil of the Sturm Liouville Operators
... the equation is the classical Sturm-Liouville equation and in this case there are a wide class of spectral problems and inverse spectral problems which were investigated by con- structing integral ...
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