Existence and uniqueness of periodic solutions of second-order nonlinear differential equations
نویسندگان
چکیده
This paper is concerned with the following second-order nonlinear differential equation: x (2n) (t) + n+1 k=1 f k (x (k–1) (t))x (k) (t) – g(t, x(t)) = e(t). By applying Mawhin's continuation theorem of coincidence degree theory, we establish sufficient conditions for the existence and uniqueness of periodic solutions for the above equation. Some recent results are known as the special cases of ours.
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