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VOL. 30 | 1992 Oscillations in parabolic neutral systems
K. Gopalsamy

Editor(s) Robert S. Anderssen, Amiya K. Pani

Abstract

Sufficient conditions are obtained for the oscillation of all solutions of the homogeneous Neumann and Dirichlet boundary value problems associated with the neutral parabolic system \[ \frac{\partial}{\partial t} [u_i(x,t) - c_iu_i(x,t - \tau)] - D_i \nabla^2 u_i(x,t) + \sum_{j=1}^m a_{ij}u_j(x,t, - \sigma_j) = 0 \] for $i = 1, 2, ..., m; x \in \Omega \subset R^n, t \gt 0$ where $\nabla^2$ denotes the Laplacian in $R^n$.

Information

Published: 1 January 1992
First available in Project Euclid: 18 November 2014

zbMATH: 0784.35041
MathSciNet: MR1210754

Rights: Copyright © 1992, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

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