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    STUDIA MATHEMATICA - Issue no. 1 / 2006  
         
  Article:   UNBOUNDED SOLUTIONS OF EQUATION Y(T) = β(T)[Y(T — δ) — A(T)Y(T — τ)].

Authors:  MIROSLAVA RUZICKOVA, JOSEF DIBLIK.
 
       
         
  Abstract:  This contribution is devoted to asymptotic behavior (for t —> oo) of solutions of first-order differential equation with two delays
y˙(t) = β(t)[y(t — δ) — a(t)y(t — τ)].
Representation of solutions in an exponential form is discussed and in-equalities for such solutions are given. As a consequence, existence of un-bounded solutions is proved. An overview of known results and illustrativeexamples are considered, too.
 
         
     
         
         
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