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  • Research Article
  • Open Access

On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions

Boundary Value Problems20072007:080929

  • Received: 5 December 2006
  • Accepted: 3 May 2007
  • Published:


A generalization of the comparison principle for a semilinear and a quasilinear parabolic equations with nonlocal boundary conditions including changing sign kernels is obtained. This generalization uses a positivity result obtained here for a parabolic problem with nonlocal boundary conditions.


  • Boundary Condition
  • Differential Equation
  • Positivity Result
  • Partial Differential Equation
  • Ordinary Differential Equation


Authors’ Affiliations

Department of Mathematics, Shanghai University, Shanghai, 200444, China
Institut für Mathematik, Universität Zürich, Winterthurerstr. 190, Zürich, CH-8057, Switzerland
Department of Mathematics, Campus Universitaire, University of Tunis, Elmanar, 2092, Tunisia


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© Y.Wang and H. Zorgati. 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.