메뉴 건너뛰기




Volumn 16, Issue 2, 2011, Pages 1060-1072

The existence of almost periodic solutions of a certain nonlinear system

Author keywords

Almost periodic solution; Averaging method; Eigenvalue; Exponential dichotomy

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS;

EID: 77956058868     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2010.05.003     Document Type: Article
Times cited : (8)

References (26)
  • 1
    • 84968497824 scopus 로고
    • On almost periodic solutions for undamped systems with almost periodic forcing
    • Seifert G. On almost periodic solutions for undamped systems with almost periodic forcing. Proc Am Math Soc 1972, 31(1):104-108.
    • (1972) Proc Am Math Soc , vol.31 , Issue.1 , pp. 104-108
    • Seifert, G.1
  • 2
    • 77952242178 scopus 로고
    • On almost periodic solutions for nonlinear systems with almost periodic forcing
    • Chongyou He On almost periodic solutions for nonlinear systems with almost periodic forcing. Ann Differ Eqs 1987, 4:403-420.
    • (1987) Ann Differ Eqs , vol.4 , pp. 403-420
    • Chongyou, H.1
  • 3
    • 85196213376 scopus 로고
    • Almost periodic solution by the method of averaging
    • Springer-Verlay, Japan United States seminar on ordinary differential and functional equations
    • Seifert G. Almost periodic solution by the method of averaging. Lecture note in mathematics 1973, 243:123-133. Springer-Verlay.
    • (1973) Lecture note in mathematics , vol.243 , pp. 123-133
    • Seifert, G.1
  • 4
    • 0003451928 scopus 로고
    • Almost periodic differential equations
    • Springer
    • Fink A.M. Almost periodic differential equations. Lecture notes in mathematics 1974, 337. Springer.
    • (1974) Lecture notes in mathematics , vol.337
    • Fink, A.M.1
  • 6
    • 0002709196 scopus 로고
    • Dichotomies in stability theory
    • Spring-Verlag, Berlin
    • Copple W.A. Dichotomies in stability theory. Lecture notes in mathematics 1978, 629. Spring-Verlag, Berlin.
    • (1978) Lecture notes in mathematics , vol.629
    • Copple, W.A.1
  • 9
    • 0003400854 scopus 로고
    • Stability and oscillation in delay differential equations of population dynamics
    • Kluweer Academic, Dordrecht
    • Gopalsamy K. Stability and oscillation in delay differential equations of population dynamics. Mathematics and its applications 1992, 74. Kluweer Academic, Dordrecht.
    • (1992) Mathematics and its applications , vol.74
    • Gopalsamy, K.1
  • 10
    • 23844513677 scopus 로고
    • Existence of almost periodic solutions of perturbation systems
    • He C.Y. Existence of almost periodic solutions of perturbation systems. Ann Differ Eqs 1993, 9(2):173-181.
    • (1993) Ann Differ Eqs , vol.9 , Issue.2 , pp. 173-181
    • He, C.Y.1
  • 11
    • 23844505172 scopus 로고    scopus 로고
    • The existence of almost periodic solution and bounded solution of perturbation systems
    • [in Chinese]
    • Lin M.R. The existence of almost periodic solution and bounded solution of perturbation systems. Acta Math Appl Sinica 2002, 22A(1):61-70. [in Chinese].
    • (2002) Acta Math Appl Sinica , vol.22 , Issue.1 A , pp. 61-70
    • Lin, M.R.1
  • 12
    • 67649292091 scopus 로고    scopus 로고
    • New conditions on the existence and stability of periodic solution in Lotka-Volterra's population system
    • Xia Y.H., Han M. New conditions on the existence and stability of periodic solution in Lotka-Volterra's population system. SIAM J Appl Math 2009, 69(6):1580-1597.
    • (2009) SIAM J Appl Math , vol.69 , Issue.6 , pp. 1580-1597
    • Xia, Y.H.1    Han, M.2
  • 13
    • 23844492797 scopus 로고    scopus 로고
    • The existence of almost periodic solutions and bounded solutions of certain perturbation systems
    • Xia Y.H., Lin M.R., Cao J. The existence of almost periodic solutions and bounded solutions of certain perturbation systems. J Math Anal Appl 2005, 310(1):81-96.
    • (2005) J Math Anal Appl , vol.310 , Issue.1 , pp. 81-96
    • Xia, Y.H.1    Lin, M.R.2    Cao, J.3
  • 14
    • 34248542009 scopus 로고
    • The existence of almost periodic solutions of linear system
    • [in Chinese]
    • Lin Z. The existence of almost periodic solutions of linear system. Acta Math Sinica 1979, 22(5):515-528. [in Chinese].
    • (1979) Acta Math Sinica , vol.22 , Issue.5 , pp. 515-528
    • Lin, Z.1
  • 15
    • 85196192287 scopus 로고
    • Almost periodic solutions of the mathics equation with almost periodic forcing
    • [in Chinese]
    • Jiang D. Almost periodic solutions of the mathics equation with almost periodic forcing. J Nanjing Univ. (Natural Science Edition) 1985, 21(3):417-420. [in Chinese].
    • (1985) J Nanjing Univ. (Natural Science Edition) , vol.21 , Issue.3 , pp. 417-420
    • Jiang, D.1
  • 16
    • 36549082348 scopus 로고    scopus 로고
    • Quasi-uniformly asymptotic stability and existence of almost periodic solutions of difference equations with applications in population dynamic systems
    • Xia Y.H., Cheng S.S. Quasi-uniformly asymptotic stability and existence of almost periodic solutions of difference equations with applications in population dynamic systems. J Differ Eqs Appl 2008, 14(1):59-81.
    • (2008) J Differ Eqs Appl , vol.14 , Issue.1 , pp. 59-81
    • Xia, Y.H.1    Cheng, S.S.2
  • 17
    • 63449119883 scopus 로고    scopus 로고
    • Synchronization schemes for coupled identical Yang-Yang type fuzzy cellular neural networks
    • Xia Y.H., Yang Z., Han M. Synchronization schemes for coupled identical Yang-Yang type fuzzy cellular neural networks. Commun Nonlinear Sci Numer Simul 2009, 14(9-10):3645-3659.
    • (2009) Commun Nonlinear Sci Numer Simul , vol.14 , Issue.9-10 , pp. 3645-3659
    • Xia, Y.H.1    Yang, Z.2    Han, M.3
  • 18
    • 0031126705 scopus 로고    scopus 로고
    • The existence of almost periodic solutions for a class of differential equations with piecewise constant argument
    • Yuan R., Hong J. The existence of almost periodic solutions for a class of differential equations with piecewise constant argument. Nonlinear Anal TWA 1997, 8:1439-1450.
    • (1997) Nonlinear Anal TWA , vol.8 , pp. 1439-1450
    • Yuan, R.1    Hong, J.2
  • 19
    • 0036497509 scopus 로고    scopus 로고
    • The existence of almost periodic solutions of retarded differential equations with piecewise constant argument
    • Yuan R. The existence of almost periodic solutions of retarded differential equations with piecewise constant argument. Nonlinear Anal 2002, 7:1013-1032.
    • (2002) Nonlinear Anal , vol.7 , pp. 1013-1032
    • Yuan, R.1
  • 20
    • 0036722421 scopus 로고    scopus 로고
    • Almost periodic solution of a class of semilinear wave equations with boundary dissipation
    • Yuan R. Almost periodic solution of a class of semilinear wave equations with boundary dissipation. Nonlinear Anal 2002, 50:746-761.
    • (2002) Nonlinear Anal , vol.50 , pp. 746-761
    • Yuan, R.1
  • 22
    • 70449532213 scopus 로고    scopus 로고
    • Multiperiodicity analysis and numerical simulation of discrete-time transiently chaotic non-autonomous neural networks with time-varying delays
    • Huang Z.K., Mohamod S., Bin H. Multiperiodicity analysis and numerical simulation of discrete-time transiently chaotic non-autonomous neural networks with time-varying delays. Commun Nonlinear Sci Numer Simul 2010, 15(5):1348-1357.
    • (2010) Commun Nonlinear Sci Numer Simul , vol.15 , Issue.5 , pp. 1348-1357
    • Huang, Z.K.1    Mohamod, S.2    Bin, H.3
  • 23
    • 77952241221 scopus 로고    scopus 로고
    • A note for a second order periodic linear differential equation
    • Sun D.X. A note for a second order periodic linear differential equation. Commun Nonl Sci Numer Simul 2010, 15:3339-3348.
    • (2010) Commun Nonl Sci Numer Simul , vol.15 , pp. 3339-3348
    • Sun, D.X.1
  • 24
    • 33947268139 scopus 로고    scopus 로고
    • Anti-periodic boundary value problems for first order impulsive functional differential equations
    • Ding W., Xing Y.P. Anti-periodic boundary value problems for first order impulsive functional differential equations. Applied Math Comput 2007, 186(1):45-53.
    • (2007) Applied Math Comput , vol.186 , Issue.1 , pp. 45-53
    • Ding, W.1    Xing, Y.P.2
  • 25
    • 58149194993 scopus 로고    scopus 로고
    • Uniform asymptotic stability and global stability of impulsive infinite delay differential equations
    • Li X.D. Uniform asymptotic stability and global stability of impulsive infinite delay differential equations. Nonlinear Anal 2009, 70:1975-1983.
    • (2009) Nonlinear Anal , vol.70 , pp. 1975-1983
    • Li, X.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.