On the Development of Functionals Which Satisfy a Maximum Principle

George Cosner, Philip W. Schaefer

Research output: Contribution to journalArticle

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Abstract

We present a systematic method for constructing functions, defined on the solutions of a higher order differential equation or weakly coupled system of differential equations, which satisfy a maximum principle. The construction is related to the construction of Lyapunov functions and to the theory of invariant sets. One can obtain various consequences from the resulting principle, such as a priori estimates, uniqueness of solutions, and comparison theorems.

Original languageEnglish (US)
Pages (from-to)45-60
Number of pages16
JournalApplicable Analysis
Volume26
Issue number1
DOIs
StatePublished - 1987

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ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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