Journal of Jilin University Science Edition ›› 2023, Vol. 61 ›› Issue (6): 1243-1250.
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LIU Xiaoming, LI Yongxiang
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Abstract: We discuss the existence of positive 2π-periodic solutions of the second-order ordinary differential equation with nonlinear derivative term by using positive operator perturbation method and fixed point index theory in cones. Under certain inequality conditions of the nonlinear term f(t,x,y), we obtain the existence of positive 2π-periodic solutions of the equation.
Key words: second-order ordinary differential equation, nonlinear derivative term, positive 2π-periodic solution, closed convex cone, fixed point index
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LIU Xiaoming, LI Yongxiang. Positive Periodic Solutions of Second-Order Ordinary Differential Equations with Nonlinear Derivative Terms[J].Journal of Jilin University Science Edition, 2023, 61(6): 1243-1250.
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