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Linearized comparison criteria for a nonlinear neutral differential equation

Tom 64 / 1996

Xinping Guan, Sui Cheng Annales Polonici Mathematici 64 (1996), 161-173 DOI: 10.4064/ap-64-2-161-173

Streszczenie

A class of nonlinear neutral differential equations with variable coefficients and delays is considered. Conditions for the existence of eventually positive solutions are obtained which extend some of the criteria existing in the literature. In particular, a linearized comparison theorem is obtained which establishes a connection between our nonlinear equations and a class of linear neutral equations with constant coefficients.

Autorzy

  • Xinping Guan
  • Sui Cheng

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