JournalszaaVol. 20, No. 3pp. 739–753

The Upper and Lower Functions Method for Second Order Systems

  • A. Ja. Lepin

    University of Latvia, Riga, Latvia
  • Felix Zh. Sadyrbaev

    University of Latvia, Riga, Latvia
The Upper and Lower Functions Method for Second Order Systems cover
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Abstract

Two-point boundary value problems for mm-dimensional second order systems are considered. The method of upper and lower functions is applied to problems of the Dirichlet type and problems with nonlinear boundary conditions. The conditions on upper and lower functions are substantially relaxed comparing with the classical C2C^2-class and properties of them are studied for systems with monotone in xx right sides. Consequences for even order differential equations with mixed monotonicities are given.

Cite this article

A. Ja. Lepin, Felix Zh. Sadyrbaev, The Upper and Lower Functions Method for Second Order Systems. Z. Anal. Anwend. 20 (2001), no. 3, pp. 739–753

DOI 10.4171/ZAA/1042