[PDF] Top 20 A Uniqueness Theorem of the Solution of an Inverse Spectral Problem
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A Uniqueness Theorem of the Solution of an Inverse Spectral Problem
... In [5], the authors considered a second-order differential equation having singularities at the end-points of the interval and gave formulations of the inverse problems both for the case of separated and ... See full document
8
Existence and uniqueness theorem for a solution of fuzzy differential equations
... a solution provided f is continuous and satisfies a Lipschitz condition by ...and uniqueness theorem for a solution of the fuzzy differential equation x (t) = f (t,x(t)) when f satisfies the ... See full document
9
Inverse spectral problems for non-selfadjoint second-order differential operators with Dirichlet boundary conditions
... of spectral mappings [], which is effective for a wide class of differential and difference operators including non-selfadjoint ...of spectral mappings is connected with the idea of the contour integration ... See full document
24
An existence uniqueness theorem and alternating contraction projection methods for inverse variational inequalities
... Using Theorem 3.2, we assert that the inverse variational inequality IVI(C, f ) has a unique solution, which is denoted by ξ ∗ ...unique solution of VI(C, f –1 ... See full document
19
The inverse problem for some special spectral data
... the solution is reconstructed. Hence, for this method the direct spectral problem and the inverse spectral problem are ...the solution of the nonlinear equation from the ... See full document
24
On a uniqueness theorem of Sturm–Liouville equations with boundary conditions polynomially dependent on the spectral parameter
... The inverse spectral problem for the Sturm–Liouville equation with boundary conditions dependent on the spectral parameter was studied in [1–7] ...three inverse spectral prob- ... See full document
11
Solving Inverse Sturm-Liouville Problems with Transmission Conditions on Two Disjoint Intervals
... the solution of the inverse problem, we need to prove the following uniqueness theorem for the solution of the equation ...unique solution z 1 ∈ ... See full document
12
Download Download PDF
... of inverse spectral problems for differential opera- tors on geometrical ...The inverse problem consists in recovering the potential from the given spectral ...The inverse ... See full document
13
The uniqueness theorem for inverse nodal problems with a chemical potential
... y (2) where λ is the spectral parameter, A is a real number, the potential q(x) is real-valued. Equation (2) has a singularity at the endpoint x = 0. For other examples, in quantum chemistry or quantum ... See full document
9
Boundary Asymptotic and Uniqueness of Solution for a Problem with Laplacian
... Variable exponent Lebesgue spaces resemble classical Lebesgue spaces in many respects: they are Banach spaces 13, Theorem 2.5 , the H ¨older inequality holds 13, Theorem 2.1 , they are reflexive if and only ... See full document
14
A NUMERICAL SOLUTION OF AN INVERSE PARABOLIC PROBLEM
... and uniqueness of the solution of an inverse problem for a linear equation with non-linear boundary conditions (radiation terms), via an auxiliary ...the solution to the auxiliary ... See full document
15
Spreading-vanishing dichotomy in a degenerate logistic model with general logistic nonlinear term
... and uniqueness of the local solution for the free boundary problem by the contraction mapping theorem, then we show that the solution can be expanded to all time using suitable ... See full document
17
Uniqueness of semilinear elliptic inverse problem
... We consider the uniqueness of the inverse problem for a semilinear elliptic dif- ferential equation with Dirichlet condition. The necessary and sufficient condition of a unique solution is ... See full document
11
Boundary Value Problem for the System Equations Mixed Type
... the theorem on conditional stability and uniqueness of the solution of problem (1) - (4) and construct an approximate solution by the regularization ... See full document
6
The inverse scattering problem of some Schrödinger type equation with turning point
... the inverse scattering problem on the half- line [, ∞) for some version of the one-dimensional Schrödinger equation with ...the inverse problem of scattering theory for ...a spectral ... See full document
15
NUMERICAL SOLUTION OF AN INVERSE PROBLEM FOR THE LIOUVILLE EQUATION
... |∇ v u| 2 dΩ ≤ 0. (8) Since Ω is bounded and u = 0 on ∂Ω, inequality (8) implies u = 0 in Ω. Hence, by equation (1), we have λ = 0 in Ω, which completes the proof of the theorem. It is easy to check that condition ... See full document
12
On some differential equations arising in a time domain inverse scattering problem for a dissipative wave equation
... The problem of identification of one spatially varying material property, defined within a slab, from boundary measurements is ...This inverse problem is described by a functional differential ... See full document
17
Solvability and positive solution of a system of second-order boundary value problem with integral boundary conditions
... and uniqueness solutions of our ...value problem as the fixed point ...point theorem cannot ensure the solutions to be ...itive solution is obtained by Guo-Krasnoselskii’s fixed point ... See full document
13
Uniqueness of an inverse problem for an integro-differential equation related to the Basset problem
... the inverse kernel problems related to the integro-differential equation, in [– ] efficient strategies to prove the existence and uniqueness of inverse memory kernel problems were ...parabolic ... See full document
9
Periodic Solutions of the Dirac-Lorentz Equation
... periodic problem and give some preliminary ...periodic problem and by a suitable fixed point theorem prove an existence-uniqueness of periodic solution for Dirac ... See full document
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