Stability properties of positive solutions to partial differential equations with delay

Gyula Farkas, Peter L. Simo

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We investigate the stability of positive stationary solutions of semilinear initial-boundary value problems with delay and convex or concave nonlinearity. If the nonlinearity is monotone, then in the convex case /(O) < 0 implies instability and in the concave case /(O) > 0 implies stability. Special cases are shown where the monotonicity assumption can be weakened or omitted.

Original languageEnglish
Pages (from-to)XCXXI-XCXXII
JournalElectronic Journal of Differential Equations
Publication statusPublished - Dec 1 2001



  • Concave nonlineariry
  • Convex nonlinearity
  • Semilinear equations with delay
  • Stability of stationary solutions

ASJC Scopus subject areas

  • Analysis

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