## Proceedings of the Centre for Mathematics and its Applications

- Proc. Centre Math. Appl.
- 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

### Oscillations in parabolic neutral systems

#### 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

**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