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Volumn 28, Issue 5, 1997, Pages 855-870

The global stability of a class of second order differential equations

Author keywords

Global stability; Li nard system; Second order differential equation

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; CALCULATIONS; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; POLYNOMIALS; PROBLEM SOLVING; THEOREM PROVING; VECTORS;

EID: 0031103593     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00187-Z     Document Type: Article
Times cited : (22)

References (16)
  • 3
    • 84963011942 scopus 로고
    • Boundedness and asymptotic behavior of solutions of a second-order nonlinear system
    • QIAN C., Boundedness and asymptotic behavior of solutions of a second-order nonlinear system, Bull. London math. Soc. 24, 281-288 (1992).
    • (1992) Bull. London Math. Soc. , vol.24 , pp. 281-288
    • Qian, C.1
  • 4
    • 38149148442 scopus 로고
    • On global asymptotic stability of second order nonlinear differential systems
    • QIAN C., On global asymptotic stability of second order nonlinear differential systems, Nonlinear Analysis 22, 823-833 (1994).
    • (1994) Nonlinear Analysis , vol.22 , pp. 823-833
    • Qian, C.1
  • 5
    • 0042465655 scopus 로고
    • The boundedness and convergence of solutions of second-order differential equations with applications
    • JIANG J. F., The boundedness and convergence of solutions of second-order differential equations with applications, Annali Mat. pura appl. 165, 29-47 (1993).
    • (1993) Annali Mat. Pura Appl. , vol.165 , pp. 29-47
    • Jiang, J.F.1
  • 6
    • 38249003245 scopus 로고
    • On the Vinograd type theorems for Liénard system
    • HARA T., On the Vinograd type theorems for Liénard system, Nonlinear Analysis 20, 647-658 (1993).
    • (1993) Nonlinear Analysis , vol.20 , pp. 647-658
    • Hara, T.1
  • 7
    • 0010534285 scopus 로고
    • Sufficient conditions for the existence of stable limit cycles of second order equation
    • In Russian
    • FILIPPOV A., Sufficient conditions for the existence of stable limit cycles of second order equation, Mat. Sb., 30, 171-180 (1952). (In Russian.)
    • (1952) Mat. Sb. , vol.30 , pp. 171-180
    • Filippov, A.1
  • 8
    • 0002070351 scopus 로고
    • On a dynamical system in the Liénard plane. Necessaary and sufficient conditions for the intersection with the vertical isocline and applications
    • VILLARI V. & ZANOLIN F., On a dynamical system in the Liénard plane. Necessaary and sufficient conditions for the intersection with the vertical isocline and applications, Funckcialaj Ekvacioj 33, 19-38 (1990).
    • (1990) Funckcialaj Ekvacioj , vol.33 , pp. 19-38
    • Villari, V.1    Zanolin, F.2
  • 9
    • 0001230816 scopus 로고
    • On the global centre of generalized Liénard equation and its application to stability problems
    • HARA T. & YONEYAMA T., On the global centre of generalized Liénard equation and its application to stability problems, Funkcialaj Ekvacioj 28, 171-192 (1985).
    • (1985) Funkcialaj Ekvacioj , vol.28 , pp. 171-192
    • Hara, T.1    Yoneyama, T.2
  • 10
    • 0002122658 scopus 로고
    • A necessary and sufficient condition for oscillation of the generalized Liénard equation
    • HARA T., YONEYAMA T. & SUGIE J., A necessary and sufficient condition for oscillation of the generalized Liénard equation, Annali Mat. pura appl. 154, 223-230 (1989).
    • (1989) Annali Mat. Pura Appl. , vol.154 , pp. 223-230
    • Hara, T.1    Yoneyama, T.2    Sugie, J.3
  • 13
    • 0000853045 scopus 로고
    • Non-existence of periodic solutions of the Liénard system
    • SUGIE J. and HARAT T., Non-existence of periodic solutions of the Liénard system, J. math. Anal. Appl. 159, 224-236 (1991).
    • (1991) J. Math. Anal. Appl. , vol.159 , pp. 224-236
    • Sugie, J.1    Harat, T.2
  • 14
    • 0041668174 scopus 로고
    • A problem on the stability of a positive global attractor
    • JIANG J. F. & YU S. X., A problem on the stability of a positive global attractor, Nonlinear Analysis 20, 381-388 (1993).
    • (1993) Nonlinear Analysis , vol.20 , pp. 381-388
    • Jiang, J.F.1    Yu, S.X.2
  • 15
    • 38149147676 scopus 로고
    • Notice on the Vinograd type theorems for Liénard system
    • HARA T., Notice on the Vinograd type theorems for Liénard system, Nonlinear Analysis 22, 1437-1433 (1994).
    • (1994) Nonlinear Analysis , vol.22 , pp. 1437-11433
    • Hara, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.