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Volumn 1997, Issue , 1997, Pages 1-6

Stability of a linear oscillator with variable parameters

Author keywords

Differential equation; Lyapunov function; Stable solution

Indexed keywords


EID: 0242672552     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (29)

References (15)
  • 2
    • 0001664755 scopus 로고
    • Globally analytic simplification and the Levinson theorem
    • H. Ginfold, P.F. Hsieh, and Y. Sibuya, Globally Analytic Simplification and the Levinson Theorem. J. Math. Anal. Appl. 182 (1994), 269-286.
    • (1994) J. Math. Anal. Appl. , vol.182 , pp. 269-286
    • Ginfold, H.1    Hsieh, P.F.2    Sibuya, Y.3
  • 3
    • 44649121360 scopus 로고
    • On the method of Lyapunov functions construction
    • Russian
    • A.A. Lebedev, On the method of Lyapunov functions construction, J. of Appl. Math. and Mech. 21 (1957), 121-124. (Russian)
    • (1957) J. of Appl. Math. and Mech. , vol.21 , pp. 121-124
    • Lebedev, A.A.1
  • 4
    • 84972530643 scopus 로고
    • The asymptotic nature of solutions of linear ordinary differential equations
    • N. Levinson, The asymptotic nature of solutions of linear ordinary differential equations, Duke Math. J. 15 (1948), 111-126.
    • (1948) Duke Math. J. , vol.15 , pp. 111-126
    • Levinson, N.1
  • 5
    • 3042661305 scopus 로고
    • On the asymptotic stability of solutions of the system of differential equations
    • Russian
    • N.Ya. Lyaschenko, On the asymptotic stability of solutions of the system of differential equations, Dokl. Akad. Nauk SSSR 96 (1954), 237-239. (Russian)
    • (1954) Dokl. Akad. Nauk SSSR , vol.96 , pp. 237-239
    • Lyaschenko, N.Ya.1
  • 8
    • 3042610800 scopus 로고
    • On the stability theory of integrals of differential equations
    • Russian
    • K.P. Persidsky, On the stability theory of integrals of differential equations, Izvestiya fiz.-mat. ob. Kaz. Univ. 8 (1936-1937), 47-85. (Russian)
    • (1936) Izvestiya Fiz.-Mat. Ob. Kaz. Univ. , vol.8 , pp. 47-85
    • Persidsky, K.P.1
  • 10
    • 3042650357 scopus 로고
    • Sufficient conditions of stability of the mechanical system with one degree of freedom
    • Russian
    • V.M. Starzhinsky, Sufficient conditions of stability of the mechanical system with one degree of freedom, J. of Appl. Math. and Mech. 16 (1952), 369-374. (Russian)
    • (1952) J. of Appl. Math. and Mech. , vol.16 , pp. 369-374
    • Starzhinsky, V.M.1
  • 12
    • 3042657575 scopus 로고
    • Asymptotic behavior of solutions of asymptotically constant coefficient systems of linear differential equations
    • -, Asymptotic Behavior of Solutions of Asymptotically Constant Coefficient Systems of Linear Differential Equations, Computers Math. Applic. 30, No.12 (1995), 111-117.
    • (1995) Computers Math. Applic. , vol.30 , Issue.12 , pp. 111-117
  • 13
    • 3042521938 scopus 로고
    • Estimates of solutions of a system of perturbed differential equations with variable parameters
    • Russian
    • B.S. Razumikhin, Estimates of solutions of a system of perturbed differential equations with variable parameters, J. of Appl. Math. and Mech 21 (1957), 119-120. (Russian)
    • (1957) J. of Appl. Math. and Mech. , vol.21 , pp. 119-120
    • Razumikhin, B.S.1
  • 14
    • 3042654003 scopus 로고
    • On the stability of the zero solution of the system of linear differential equations with variable parameters
    • Russian
    • Van Dan-Chzhy, On the stability of the zero solution of the system of linear differential equations with variable parameters, Vestnik Moskov. Univ. Mat. 24 (1969), 86-92. (Russian)
    • (1969) Vestnik Moskov. Univ. Mat. , vol.24 , pp. 86-92
    • Van Dan-Chzhy1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.