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Identifiability and Stability of an Inverse Problem Involving a Fredholm Equation
(Shanghai Scientific Technology Literature, 2015)
The authors study a linear inverse problem with a biological interpretation, which is modelled by a Fredholm integral equation of the first kind, where the kernel is represented by step functions. Based on different ...
Partial Differential Equations as Three-Dimensional Inverse Problem of Moments
(David Publishing, 2014-10)
We considerer partial differential equations of second order, for example the Klein-Gordon equation, the Poisson equation, on a region E= (a1, b1)x(a2, b2)x(a3, b3). We will see that with a common procedure in all cases, ...
A uniqueness theorem for the determination of sources in the Germain–Lagrange plate equation
(San Diego, 2013)
We prove a uniqueness result related to the Germain–Lagrange dynamic plate differential equation. We consider the equation {∂2u∂t2+△2u=g⊗f,in ]0,+∞)×R2,u(0)=0,∂u∂t(0)=0, where uu stands for the transverse displacement, ff ...
A nodal inverse problem for a quasi-linear ordinary differential equation in the half-line
(Academic Press Inc Elsevier Science, 2016-07)
In this paper we study an inverse problem for a quasi-linear ordinary differential equation with a monotonic weight in the half-line. First, we find the asymptotic behavior of the singular eigenvalues, and we obtain a ...
Non linear second order partial differential equations as generalized inverse moment problems
(Taylor & Francis, 2018-03)
General forms for non linear elliptic, hyperbolic and parabolic partial differential equations are considered. For all these we present a general procedure that transforms they into a Fredholm integral equation of the first ...