Proceedings of the Centre for Mathematics and its Applications

Oscillations in parabolic neutral systems

K. Gopalsamy

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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 $R^n$.

Article information

Source
Mini-Conference on Free and Moving Boundary and Diffusion Problems. Amiya K. Pani and Robert S. Anderssen, eds. Proceedings of the Centre for Mathematics and its Applications, v. 30. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 1992), 128-141

Dates
First available in Project Euclid: 18 November 2014

Permanent link to this document
https://projecteuclid.org/ euclid.pcma/1416323075

Mathematical Reviews number (MathSciNet)
MR1210754

Zentralblatt MATH identifier
0784.35041

Citation

Gopalsamy, K. Oscillations in parabolic neutral systems. Mini-Conference on Free and Moving Boundary and Diffusion Problems, 128--141, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, Canberra AUS, 1992. https://projecteuclid.org/euclid.pcma/1416323075


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