Differential and Integral Equations

Positive solutions to a system of periodic parabolic partial differential equations

Afshin Ghoreishi and Roger Logan

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


We use the methods of [24, 15] to provide an extension of results presented in [7, 16, 24] to derive existence of positive solutions to a general system of periodic parabolic equations which arise in the study of population dynamics. We will consider the following system with mixed boundary conditions. $$ \begin{align} u_t(x,t)-d_1(x,t)\Delta u(x,t)&= u(x,t)M(x,t,u,v) \\ v_t(x,t)-d_2(x,t)\Delta v(x,t)&= v(x,t)N(x,t,u,v). \end{align} $$

Article information

Differential Integral Equations, Volume 9, Number 3 (1996), 607-618.

First available in Project Euclid: 7 May 2013

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35K50
Secondary: 35B10: Periodic solutions 35K55: Nonlinear parabolic equations 35Q80: PDEs in connection with classical thermodynamics and heat transfer 92D25: Population dynamics (general)


Ghoreishi, Afshin; Logan, Roger. Positive solutions to a system of periodic parabolic partial differential equations. Differential Integral Equations 9 (1996), no. 3, 607--618. https://projecteuclid.org/euclid.die/1367969975

Export citation