一类广义平均曲率Liénard方程周期解存在性与唯一性(英文)

2016-06-25 06:50兰德新陈文斌
关键词:曲率兰德广义

兰德新+陈文斌

References:

[1] NGUYEN P C. Periodic solutions of a second order nonlinear system[J]. J Math Anal Appl, 1997,214(1):219-232.

[2] LU S P, GE W G. Periodic solutions for a kind of Liénard equation with a deviating argument[J]. J Math Anna Appl, 2004,289(2):231-243.

[3] CHENG W S, REN J L. On the existence of periodic solution for P-Laplacian generalized Liénard equation[J]. Nonlinear Anal, 2005,60(1):65-75.

[4] GAO F B, LU S P. New results on the existence and uniqueness of preiodic solutions for Liénard equation type P-Laplacian equation[J]. J Franklin Institute, 2008,345(2):374-381.

[5] GAO H, LIU B W. Existence and uniqueness of periodic solutions for forced Rayleigh-type equations[J]. Appl Math Comput, 2009,211(1):148-154.

[6] BONHEURE D, HABETS P, OBERSNEL F, et al. Classical and non-classical solutions of a prescribed curvature equations[J].J Diff Equ, 2007,243(1):208-237.

[7] LOPEZ R. A comparison result for radial solutions of the mean curvature equation[J]. Appl Math Lett, 2009,22(4):860-864.

[8] PAN H. One-dimensional prescribed mean curvature equation with exponential nonlinearity[J]. Nonlinear Annl, 2009,70(5):999-1010.

[9] GAINES R E, MAWHIN J. Coincidence degree and nonlinear differential equaations[M].Berlin:Springer, 1977.

[10] LU S P, GE W G. Sufficient conditions for the existence of periodic solutions to some second order differential equations with a deviating argument[J].J Math Anal Appl, 2005,308(2):393-419.

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