Periodic Boundary-Value Problems for Fourth Order Differential Equations with Delay
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Texas St ate University - San Ma rcos
Abstract
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We study the periodic boundary-value problem
z(iul(t) + f (x )x{t) + OO:{t) + g(t , :i:(t - -r)) + dx = p(t)
z {O) = z ( 2 . r ) , :i:(O) = :.i:(2.r), %(0) = %(2.r), : i i (O) = ·x(2.r) ,
Under some resonant conditions on t he asymptotic behaviour of the ratio
g(t, y ) /(by ) for IYI -. oo. Uniqueness of periodic solutions is al5o examined.
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QA Mathematics