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Oscillatory Periodic Solutions of Nonlinear Second Order Ordinary Differential Equations 被引量:1

Oscillatory Periodic Solutions of Nonlinear Second Order Ordinary Differential Equations
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摘要 In this paper the existence results of oscillatory periodic solutions are obtained for a second order ordinary differential equation -u″(t) = f(t, u(t)), where f : R^2 → R is a continuous odd function and is 2π-periodic in t. The discussion is based on the fixed point index theory in cones. In this paper the existence results of oscillatory periodic solutions are obtained for a second order ordinary differential equation -u″(t) = f(t, u(t)), where f : R^2 → R is a continuous odd function and is 2π-periodic in t. The discussion is based on the fixed point index theory in cones.
作者 Yong Xiang LI
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第3期491-496,共6页 数学学报(英文版)
基金 Research supported by the Mathematical Tianyuan Foundation of China (10226029), NSF of Gansu Province (ZS031-A25-003-Z) NWNU-KJCXGC212 Foundation
关键词 Second order differential equation Oscillatory periodic solution CONE Fixed point index Second order differential equation, Oscillatory periodic solution, Cone, Fixed point index
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