Integral Methods in Science and Engineering, Volume 1 Analytic Metho
Mathematical models—including those based on ordinary, partial differential, integral, and integro-differential equations—are indispensable tools for studying the physical world and its natural manifestations. Because of the usefulness of these models, it
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C. Constanda J M.E. Pérez Editors
Birkhäuser Boston • Basel • Berlin
Editors C. Constanda Department of Mathematical and Computer Sciences University of Tulsa 800 South Tucker Drive Tulsa, OK 74104 USA [email protected]
M.E. Pérez Departamento de Matemática Aplicada y Ciencias de la Computación Universidad de Cantabria Avenida de los Castros s/n 39005 Santander Spain [email protected]
ISBN 978-0-8176-4898-5 e-ISBN 978-0-8176-4899-2 DOI 10.1007/978-0-8176-4899-2 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2009941542 Mathematics Subject Classification (2000): 34-06, 35-06, 40-06, 40C10, 45-06, 65-06, 74-06, 76-06 © Birkhäuser Boston, a part of Springer Science+Business Media, LLC 2010 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Birkhäuser Boston, c/o Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights.
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Contents
Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
ix
List of Contributors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xiii 1 Homogenization of the Integro-Differential Burgers Equation A. Amosov, G. Panasenko . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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2 Geometric Versus Spectral Convergence for the Neumann Laplacian under Exterior Perturbations of the Domain J.M. Arrieta, D. Krejˇciˇr´ık . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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3 Dyadic Elastic Scattering by Point Sources: Direct and Inverse Problems C.E. Athanasiadis, V. Sevroglou, and I.G. Stratis . . . . . . . . . . . . . . . . . . .
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4 Two-Operator Boundary–Domain Integral Equations for a Variable-Coefficient BVP T.G. Ayele, S.E. Mikhailov . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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5 Solution of a Class of Nonlinear Matrix Differential Equations with Application to General Relativity M. Azreg-A¨ınou . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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6 The Bottom of the Spectrum in a Double-Contrast Periodic Model N.O. Babych . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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7 Fredholm Characterization of Wiene
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