Existence of periodic solutions for second-order neutral differential equations
Texas State University-San Marcos, Department of Mathematics
By means of variational structure and critical point theory, we study the existence of periodic solutions for a second-order neutral differential equation (p(t)x'(t - τ))' + ƒ(t, x(t), x(t - τ), x(t - 2τ)) = g(t), x(0) = x(2kτ), x'(0) = x'(2kτ). where k is a given positive integer and τ is a positive number.
Neutral differential equations, Periodic solutions, Variational methods, Critical points
Li, Y. (2005). Existence of periodic solutions for second-order neutral differential equations. <i>Electronic Journal of Differential Equations, 2005</i>(26), pp. 1-5.