Existence and Multiplicity of Periodic Solutions of the Second-Order Differential Equations with Jumping Nonlinearities 被引量：2

Existence and Multiplicity of Periodic Solutions of the Second-Order Differential Equations with Jumping Nonlinearities

原文传递

导出

摘要 We provide sufficient conditions for the existence and multiplicity of periodic solutions for Duffing's equations with jumping nonlinearities under resonance conditions. We provide sufficient conditions for the existence and multiplicity of periodic solutions for Duffing's equations with jumping nonlinearities under resonance conditions.

作者 Zai Hong WANG Department of Mathematics, Capital Normal University. Beijing 100037. P. R. China

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2002年第3期615-624,共10页 数学学报（英文版）

基金 Supported by the Natural Science Foundation of China(10001025) the Natural Science Foundation of Beijing(1022003) the Foundation of Beijing Educational Committee

关键词 Periodic solution Jumping nonlinearities Spectrum curve Time map Periodic solution Jumping nonlinearities Spectrum curve Time map

分类号 O175 [理学—基础数学]

引文网络
相关文献

参考文献10

1丁同仁.NONLINEAR OSCILLATIONS AT A POINT OF RESONANCE[J].Science in China,Ser.A.1982(09)
2A. C. Lazer,D. E. Leach.Bounded perturbations of forced harmonic oscillators at resonance[J].Annali di Matematica Pura ed Applicata Series.1969(1)
3Qian D.Time-Maps and Duffing Equations with Resonance-acrossing[].Science in China.1993
4Fabry C.Landesman-Lazer conditions for periodic boundary value problems with asymmetric nonlinearities, J[].Differential Equations.1995
5Dancer EN.On the Dirichlet problem for weakly non-linear elliptic partial differential equations[].Proceedings of the Royal Society of Edinburgh: Section A Mathematics.1977
6Iser,Wolfgang.The Act of Reading: A Theory of Aesthetic Response[]..1978
7Fucik,S.Solvability of nonlinear equations and boundary value problems[]..1980
8Drabek, P,Invernizzi, S.On the periodic boundary value theorem for forced Duffing equation with jumping nonlinearity[].Nonlinear Analysis.1986
9Ding, T,Zanolin, F.Time-maps for the solvability of periodically perturbed non-linear Duffing equations[].Nonlinear Analysis.1991
10Ding, T,Iannacci, R,Zanolin, F.Existence and multiplicity results for periodic solutions of semilinear Duffing equations[].Journal of Differential Equations.1993

同被引文献2

1柳彬,王奕倩.Invariant tori in nonlinear oscillations[J].Science China Mathematics,1999,42(10):1047-1058. 被引量：2
2XinPingWANG.Invariant Tori and Boundedness in Asymmetric Oscillations[J].Acta Mathematica Sinica,English Series,2003,19(4):765-782. 被引量：8

引证文献2

1王在洪.共振情形下具有不对称非线性项Liénard方程无界解和周期解的共存性[J].中国科学（A辑）,2007,37(5):605-616.
2Zai-hong WANG School of Mathematical Sciences,Capital Normal University,Beijing 100037,China.Coexistence of unbounded solutions and periodic solutions of Liénard equations with asymmetric nonlinearities at resonance[J].Science China Mathematics,2007,50(8):1205-1216. 被引量：2

二级引证文献2

1黄国安,刘期怀.共振条件下一类方程无界解和周期解的共存性[J].纯粹数学与应用数学,2009,25(3):603-609. 被引量：2
2郭乙爽,刘期怀,蒋贵荣.一类生成函数完全轨道的存在性及其应用[J].应用数学学报,2015,38(6):1074-1085. 被引量：1

1Zai-hong WangDepartment of Mathematics, Capital Normal University, Beijing 100037, China.Multiplicity of Periodic Solutions of Duffing Equations with Jumping Nonlinearities[J].Acta Mathematicae Applicatae Sinica,2002,18(3):513-522.
2He Xiangjian & Jiang Zhuhan(Statistics and Computing Science, University of New England,Armidale, NSW 2351, Australia).EXISTENCE OF HOPF BIFURCATION PROBLEMS WITH JUMPING NONLINEARITIES[J].Annals of Differential Equations,1995,11(2):127-146.
3Xing Qiu ZHANG 1,2 1.School of Mathematics and Statistics,Huazhong University of Science and Technology,Hubei 430074,P.R.China,2.School of Mathematics,Liaocheng University,Shandong 252059,P.R.China.Existence of Positive Solutions for Systems of Nonlinear Second-Order Differential Equations on the Half Line in a Banach Space[J].Journal of Mathematical Research and Exposition,2011,31(4):587-604. 被引量：1
4吴惠彬,吴润衡.Lagrange-Noether method for solving second-order differential equations[J].Chinese Physics B,2009,18(9):3647-3650. 被引量：1
5ZHENG Dong-mei,LU Shi-ping.Positive Solutions of Boundary Value Problems for Systems of Nonlinear Second-order Differential Equations[J].Chinese Quarterly Journal of Mathematics,2011,26(2):179-184. 被引量：3
6Shujie Li Zhitao Zhang Institute of Mathematics,Academia Sinica,Beijing 100080,P.R.China.Sign-Changing and Multiple Solutions Theorems for Semilinear Elliptic Boundary Value Problems with Jumping Nonlinearities[J].Acta Mathematica Sinica,English Series,2000,16(1):113-122. 被引量：3
7丁孙荭.EXISTENCE OF SOLUTION FOR A KIND OF BOUNDARY VALUE PROBLEM WITH JUMPING CHARACTER[J].Chinese Science Bulletin,1988,33(16):1322-1325.
8Shang Yanying Tang Chunlei.EXISTENCE AND MULTIPLICITY RESULTS FOR ELLIPTIC EQUATIONS WITH CRITICAL SOBOLEV EXPONENT AND HARDY TERM[J].Journal of Partial Differential Equations,2007,20(4):289-298.
9You Ming ZHOU Yi CAO.Triple Positive Solutions of the Multi-Point Boundary Value Problem for Second-Order Differential Equations[J].Journal of Mathematical Research and Exposition,2010,30(3):475-486. 被引量：1
10SUN Yong-ping.Existence and multiplicity of positive solutions for an elastic beam equation[J].Applied Mathematics(A Journal of Chinese Universities),2011,26(3):253-264.

Acta Mathematica Sinica,English Series

2002年第3期

浏览历史

内容加载中请稍等...

Existence and Multiplicity of Periodic Solutions of the Second-Order Differential Equations with Jumping Nonlinearities 被引量：2

参考文献10

同被引文献2

引证文献2

二级引证文献2

相关作者

相关机构

相关主题

浏览历史