Periodic solutions for a prescribed mean curvature equation with multiple delays. (English) Zbl 1442.34112
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.
MSC:
| 34K13 | Periodic solutions to functional-differential equations |
References:
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