Periodic solutions for a prescribed mean curvature equation with multiple delays (Q2336822)

Summary: We study the existence of periodic solutions for the one-dimensional prescribed mean curvature delay equation \((d/dt)(x'(t) / \sqrt{1 + (x'(t))^2}) + \sum_{i=1}^n a_i (t)g(x(t-\tau_i (t))) = p (t)\). By using Mawhin's continuation theorem, a new result is obtained. Furthermore, the nonexistence of periodic solution for the equation is investigated as well.