Previous Page 4

Displaying 61 – 80 of 80

Showing per page

Inverse Scattering for Waveguides

Hiroshi Isozaki, Yaroslav Kurylev, Matti Lassas (2006/2007)

Séminaire de théorie spectrale et géométrie

We study the inverse scattering problem for a waveguide ( M , g ) with cylindrical ends, M = M c α = 1 N ( Ω α × ( 0 , ) ) , where each Ω α × ( 0 , ) has a product type metric. We prove, that the physical scattering matrix, measured on just one of these ends, determines ( M , g ) up to an isometry.

Inverse scattering via nonlinear integral equations method for a sound-soft crack with phaseless data

Peng Gao, Heping Dong, Fuming Ma (2018)

Applications of Mathematics

We consider the inverse scattering of time-harmonic plane waves to reconstruct the shape of a sound-soft crack from a knowledge of the given incident field and the phaseless data, and we check the invariance of far field data with respect to translation of the crack. We present a numerical method that is based on a system of nonlinear and ill-posed integral equations, and our scheme is easy and simple to implement. The numerical implementation is described and numerical examples are presented to...

Investigations of retarded PDEs of second order in time using the method of inertial manifolds with delay

Alexander V. Rezounenko (2004)

Annales de l’institut Fourier

Inertial manifold with delay (IMD) for dissipative systems of second order in time is constructed. This result is applied to the study of different asymptotic properties of solutions. Using IMD, we construct approximate inertial manifolds containing all the stationary solutions and give a new characterization of the K-invariant manifold.

Invisible obstacles

A. G. Ramm (2007)

Annales Polonici Mathematici

It is proved that one can choose a control function on an arbitrarilly small open subset of the boundary of an obstacle so that the total radiation from this obstacle for a fixed direction of the incident plane wave and for a fixed wave number will be as small as one wishes. The obstacle is called "invisible" in this case.

Iterated oscillation criteria for delay partial difference equations

Başak Karpuz, Özkan Öcalan (2014)

Mathematica Bohemica

In this paper, by using an iterative scheme, we advance the main oscillation result of Zhang and Liu (1997). We not only extend this important result but also drop a superfluous condition even in the noniterated case. Moreover, we present some illustrative examples for which the previous results cannot deliver answers for the oscillation of solutions but with our new efficient test, we can give affirmative answers for the oscillatory behaviour of solutions. For a visual explanation of the examples,...

Iterative methods for parabolic functional differential equations

Milena Matusik (2013)

Applicationes Mathematicae

This paper is concerned with iterative methods for parabolic functional differential equations with initial boundary conditions. Monotone iterative methods are discussed. We prove a theorem on the existence of solutions for a parabolic problem whose right-hand side admits a Jordan type decomposition with respect to the function variable. It is shown that there exist Newton sequences which converge to the solution of the initial problem. Differential equations with deviated variables and differential...

Currently displaying 61 – 80 of 80

Previous Page 4