Abstract

By means of the generalized continuation theorem of coincidence degree theory, a kind of second-order neutral differential systems with deviating arguments as follows d 2 dt 2 (x(t)+Cx(t−r))+ d dt grad F(x(t))+ grad G(x(t−τ(t)))=p(t) is studied. A new result on the existence of periodic solutions is obtained, which relates to the deviating arguments τ( t) and r.

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