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一类具有偏差变元的二阶泛函微分方程周期解

DOI: 10.11830/ISSN.1000-5013.2009.06.0709

Keywords: 泛函微分方程, 周期解, 重合度, 偏差变元

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Abstract:

利用重合度理论,研究一类具有偏差变元的二阶微分方程x″+f(t,x′(t))+g(t,x(t-τ(t)))=p(t)的周期解的存在性问题.其中,f,g∈C(R×R,R),且对任意的x∈R,g(t+ω,x)=g(t,x),p∈C(R,R),τ∈C(R,R)是ω-周期的.在不要求对所有的y∈R,函数f(t,y)≤0(f(t,y)≥0),t∈R的情况下,得到该类方程至少存在一个ω-周期解的充分条件.

References

[1]  鲁世平, 葛渭高. 共振情形m-点边值问题解的存在性 [J]. 数学学报, 2006(3):687-692.
[2]  POURNAKI M R, RAZANI A. On the existence of periodic solutions for a class of generalized forced Liénard equations [J]. Applied Mathematics Letters, 2007(3):248-254.
[3]  汪东树, 王全义. 一类具有时滞和比率的扩散系统正周期解 [J]. 华侨大学学报(自然科学版), 2006(4):358-361.doi:10.3969/j.issn.1000-5013.2006.04.006.
[4]  GAINES R E, MAWHIN J L. Coincidence degree and nonlinear differential equation [M]. Beilin:Springer-Verlag, 1977.40-60.
[5]  WANG Wei-bing, LUO Zhi-guo. Positive periodic solutions of second-order differential equations [J]. Applied Mathematics Letters, 2007(3):266-271.
[6]  ZHU Yan-ling, LU Shi-ping. Periodic solutions for p-Laplacian neutral functional differential equation with multiple deviating arguments [J]. Journal of Mathematical Analysis and Applications, 2007(2):1357-1367.doi:10.1016/j.jmaa.2007.02.085.
[7]  DING Wei, HAN Mao-an, YAN Ju-rang. Periodic boundary value problems for the second order functional differential equations [J]. Journal of Mathematical Analysis and Applications, 2004(1):341-351.doi:10.1016/j.jmaa.2004.05.019.
[8]  Li Yong-xiang. Positive periodic solutions of first and second order ordinary differential equations [J]. Chinese Ann Math (B), 2004(3):413-420.doi:10.1142/S025295990400038X.
[9]  LIU Bing-wen, HUANG Li-hong. Periodic solutions for a kind of Rayleigh equation with a deviating argument [J]. Journal of Mathematical Analysis and Applications, 2006(2):491-500.doi:10.1016/j.jmaa.2005.08.070.

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