On Neutral Functional]Differential Equations with Proportional Delays
نویسندگان
چکیده
and the asymptotic behaviour of its solutions. We prove that the existence and uniqueness of solutions depend mainly on the coefficients c , i s 1, 2, . . . , and on i the smoothness of functions in the solution space. As far as the asymptotic behaviour of analytic solutions is concerned, the c have little effect. We prove that i Ž . if Re a ) 0 then the solution y t either grows exponentially or is polynomial. The most interesting result is that if Re a F 0 and a / 0 then the asymptotic behaviour of the solution depends mainly on the characteristic equation
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