Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 40, pp. 1-19.

Title: First-order differential equations with several deviating arguments:
       Sturmian comparison method in oscillation theory: I
        
Authors: Leonid Berezansky (Ben-Gurion Univ. of the Negev, Israel)
  Yury Domshlak (Ben-Gurion Univ. of the Negev, Israel)

Abstract: 
 The Sturmian Comparison Method, elaborated previously by one of 
 the authors, is developed and applied to differential
 equations with several deviating arguments. 
 For two delays, we obtain oscillation criteria that are explicit
 and close to be necessary. We also present a comparison of our results 
 with those known in the literature. 
  
Submitted January 16, 2001. Published May 31, 2001.
Math Subject Classifications: 34K11.
Key Words: delay differential equations; several delays; oscillation; 
           non-oscillation;  Sturmian comparison method.