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Volumn 170, Issue 1, 2004, Pages 79-102

Stability criteria for certain second-order delay differential equations with mixed coefficients

Author keywords

Asymptotic stability; Characteristic functions; Delay; Stability criteria; Stability regions; Sufficient conditions

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; POLYNOMIALS; STABILITY CRITERIA;

EID: 3042601399     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2003.12.043     Document Type: Article
Times cited : (42)

References (26)
  • 1
    • 0009028686 scopus 로고
    • Stability and asymptotic stability of functional-differential equations
    • Arieh I. Josef T. Stability and asymptotic stability of functional-differential equations J. London Math. Soc. 51 1995 559-572
    • (1995) J. London Math. Soc. , vol.51 , pp. 559-572
    • Arieh, I.1    Josef, T.2
  • 3
    • 21844482244 scopus 로고
    • Stability criteria for second-order dynamical systems involving several time delays
    • Boese F.G. Stability criteria for second-order dynamical systems involving several time delays SIAM J. Math. Anal. 26 1995 1306-1330
    • (1995) SIAM J. Math. Anal. , vol.26 , pp. 1306-1330
    • Boese, F.G.1
  • 4
    • 21844482244 scopus 로고
    • Stability criteria for second-order dynamical systems involving several time delays
    • Boese F.G. Stability criteria for second-order dynamical systems involving several time delays SIAM J. Math. Anal. 26 1995 1306-1330
    • (1995) SIAM J. Math. Anal. , vol.26 , pp. 1306-1330
    • Boese, F.G.1
  • 5
    • 0034369930 scopus 로고    scopus 로고
    • Stability criteria for linear time-invariant systems with multiple delays
    • Xu Bugong Stability criteria for linear time-invariant systems with multiple delays J. Math. Anal. Appl. 252 2000 484-494
    • (2000) J. Math. Anal. Appl. , vol.252 , pp. 484-494
    • Xu, B.1
  • 6
    • 0033748614 scopus 로고    scopus 로고
    • On stability of systems of delay differential equations
    • Cahlon B. Schmidt D. On stability of systems of delay differential equations J. Comput. Appl. Math. 10 1999 137-158
    • (1999) J. Comput. Appl. Math. , vol.10 , pp. 137-158
    • Cahlon, B.1    Schmidt, D.2
  • 7
    • 3042518378 scopus 로고    scopus 로고
    • Stability criteria for certain second order delay differential equations
    • B. Cahlon, D. Schmidt, Stability criteria for certain second order delay differential equations, Dyn. Continuous Discrete Impulsive Systems 10 (2003) 593-621.
    • (2003) Dyn. Continuous Discrete Impulsive Systems , vol.10 , pp. 593-621
    • Cahlon, B.1    Schmidt, D.2
  • 8
    • 34248352395 scopus 로고
    • Limit cycles, Tori, and Complex Dynamics in a second-order differential equation with delayed negative feedback
    • Campbell S.A. Belair J. Ohira T. Milton J. Limit cycles, Tori, and Complex Dynamics in a second-order differential equation with delayed negative feedback J. Dynamics Differential Equations 7 1995 213-236
    • (1995) J. Dynamics Differential Equations , vol.7 , pp. 213-236
    • Campbell, S.A.1    Belair, J.2    Ohira, T.3    Milton, J.4
  • 11
    • 0000801939 scopus 로고    scopus 로고
    • Asymptotic stability condition for linear differential-difference equations with delays
    • Hara T. Rinko M. Morii T. Asymptotic stability condition for linear differential-difference equations with delays Dynamic Systems Appl. 6 1997 493-506
    • (1997) Dynamic Systems Appl. , vol.6 , pp. 493-506
    • Hara, T.1    Rinko, M.2    Morii, T.3
  • 12
    • 0002124604 scopus 로고    scopus 로고
    • Stability region for systems of differential-difference equations
    • Hara T. Sugie J. Stability region for systems of differential-difference equations Funk Ekvac. 39 1996 69-86
    • (1996) Funk Ekvac. , vol.39 , pp. 69-86
    • Hara, T.1    Sugie, J.2
  • 13
    • 0001249720 scopus 로고
    • Stability of numerical methods for systems of neutral delay differential equations
    • Hu G.D. Mitsui T. Stability of numerical methods for systems of neutral delay differential equations BIT 35 1995 505-515
    • (1995) BIT , vol.35 , pp. 505-515
    • Hu, G.D.1    Mitsui, T.2
  • 14
    • 84972538214 scopus 로고
    • On asymptotic stability for linear delay equations
    • Wenzhang Huang Wen Zhang Huang On asymptotic stability for linear delay equations Differential and Integral 4 1991 1303-1310
    • (1991) Differential and Integral , vol.4 , pp. 1303-1310
    • Wenzhang, H.1    Zhang, H.W.2
  • 15
    • 3042611074 scopus 로고    scopus 로고
    • On the asymptotic behavior of the solutions of a second order differential equation with small damping
    • Karsai J. On the asymptotic behavior of the solutions of a second order differential equation with small damping Acta Math. Hungarica 34 1999 1721-1723
    • (1999) Acta Math. Hungarica , vol.34 , pp. 1721-1723
    • Karsai, J.1
  • 16
    • 0042302869 scopus 로고
    • Stability of some test equations with delay
    • Kolmanovskii V.B. Stability of some test equations with delay SIAM J. Math. Anal. 25 1994 948-961
    • (1994) SIAM J. Math. Anal. , vol.25 , pp. 948-961
    • Kolmanovskii, V.B.1
  • 18
    • 0031141122 scopus 로고    scopus 로고
    • Asymptotic solutions for second order delay differential equations
    • Pinto M. Asymptotic solutions for second order delay differential equations Nonlinear Anal. 28 1997 1729-1740
    • (1997) Nonlinear Anal. , vol.28 , pp. 1729-1740
    • Pinto, M.1
  • 19
    • 0001435436 scopus 로고
    • On zeros of some transcendental functions
    • Ser. Mat
    • Pontryagin L.S. On zeros of some transcendental functions IZV. Akad Nouk SSSR, Ser. Mat. 6 1942 115-134
    • (1942) IZV. Akad Nouk SSSR , vol.6 , pp. 115-134
    • Pontryagin, L.S.1
  • 20
    • 27144483984 scopus 로고    scopus 로고
    • Stability of solutions of a second-order equation with delay
    • Shcheglov V.A. Stability of solutions of a second-order equation with delay Differential Equations (journal translation) 34 1999 1721-1723
    • (1999) Differential Equations (journal Translation) , vol.34 , pp. 1721-1723
    • Shcheglov, V.A.1
  • 22
    • 0003199186 scopus 로고
    • Retarded Dynamical Systems: Stability and Characteristic Functions
    • New York: Wiley
    • Stépán G. Retarded Dynamical Systems: Stability and Characteristic Functions Research Notes in Math. Series Vol. 210 1989 Wiley New York
    • (1989) Research Notes in Math. Series , vol.210
    • Stépán, G.1
  • 24
    • 0002664680 scopus 로고
    • Stability for differential-difference equations
    • Xiaoxin L. XiaoJun W. Stability for differential-difference equations J. Math. Anal. Appl. 174 1991 84-102
    • (1991) J. Math. Anal. Appl. , vol.174 , pp. 84-102
    • Xiaoxin, L.1    XiaoJun, W.2
  • 26
    • 3042652460 scopus 로고
    • Stability criteria for linear second order delay differential systems
    • Yuanhong Yu Stability criteria for linear second order delay differential systems Acta Math. Appl. Sinica 4 1988 109-112
    • (1988) Acta Math. Appl. Sinica , vol.4 , pp. 109-112
    • Yuanhong, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.