Positive Periodic Solutions For A Kind Of Prescribed Mean Curvature Du¢ ng-Type Equation

Fan Kong, Ping Shi, Lu
2015 Applied Mathematics E-Notes   unpublished
In this paper, we study the existence of periodic solutions to the following prescribed mean curvature Du¢ ng-type equation with a singularity and a deviating argument: u 0 (t) p 1 + (u 0) 2 ! 0 + cu 0 (t) + g(t; u(t)) = p(t); where g has a strong singularity at x = 0 and satis...es a small force condition at x = 1, which are di¤erent from the known literatures.