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    STUDIA MATHEMATICA - Issue no. 2 / 2018  
         
  Article:   SOME PROPERTIES OF SOLUTIONS TO A PLANAR SYSTEM OF NONLINEAR DIFFERENTIAL EQUATIONS.

Authors:  VERONICA ILEA, DIANA OTROCOL.
 
       
         
  Abstract:  In this paper, we present for the solutions of a planar system of differential equations, extremal principle, Nicolescu-type and Butlewski-type separation theorems. Some applications and examples are given.

Mathematics Subject Classification (2010): 34A12, 34C10, 34A34.

Keywords: Nonlinear second order differential system, extremal principle, zeros of solutions, Sturm-type theorem, Nicolescu-type theorem, Butlewski-type theorem.
 
         
     
         
         
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