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《Journal of Anhui Normal University(Natural Science)》 2010-01
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Infinite Periodic Solutions to a Class of Second-Order Differential Equations

GAN Li-li,LU Shi-ping(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China)  
By critical point and Z2-group index theory,the functional I(x) posesses infinite critical points and equation(2) is equivalent to equation(3) by the variational structure.In the changed conditions,we obtain infinite periodic solutions to a class of second-order differential equations(c(t)x′(t-τ))′+f(t,x(t),x(t-τ),x(t-2τ))=0.
【Fund】: Sponsored by the key NSF of Education Ministry of China(207047)
【CateGory Index】: O175.1
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