Publicación: ASYMPTOTICS OF SCALAR FUNCTIONAL DIFFERENTIAL EQUATIONS
Fecha
2004
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FUNCTIONAL DIFFERENTIAL EQUATIONS
Resumen
IN THIS PAPER, WE GIVE A CHARACTERIZATION OF THE SOLUTIONS OF A SCALAR LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS OF THE FORM Y'(T)=:\0 (T) Y (T)+ B (T, Y,), T?: 0, WHERE YT:[-T, O]-T< CIS DEFINED BY Y,(S)= Y (T+ S) FORT?: 0 AND S E [-T, O],:\O:[0,+ OO [-T< C IS A LOCALLY INTEGRABLE FUNCTION,{B (T,·)},: 00 IS A FAMILY OF BOUNDED LINEAR FUNCTIONALS FROM L'([-T, OJ,< C) INTO< C WITH T> 0. ASYMPTOTIC FORMULAS UNDER SMALLNESS CONDITIONS ON B (T, EF.'+> O (S) DS) ARE OBTAINED. EXAMPLES ARE GIVEN.
