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Volumn , Issue , 2003, Pages 183-190

Contraction mapping and stability in a delay-differential equation

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; LYAPUNOV METHODS; MAPPING; THEOREM PROVING;

EID: 23744452806     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (22)

References (11)
  • 2
    • 12844262657 scopus 로고    scopus 로고
    • Stability by fixed point theory or Liapunov theory: A comparison
    • to appear
    • T. A. Burton, Stability by fixed point theory or Liapunov theory: a comparison, Seminar on Fixed Point Theory Cluj-Napoca, to appear.
    • Seminar on Fixed Point Theory Cluj-napoca
    • Burton, T.A.1
  • 3
    • 0041409861 scopus 로고    scopus 로고
    • Fixed points and problems in stability theory for ordinary and functional differential equations
    • T. A. Burton and T. Furumochi, Fixed points and problems in stability theory for ordinary and functional differential equations, Dynamic Systems and Applications, 10(2001) 89-116.
    • (2001) Dynamic Systems and Applications , vol.10 , pp. 89-116
    • Burton, T.A.1    Furumochi, T.2
  • 4
    • 29244442980 scopus 로고
    • Existence and stability of solutions of a delay-differential system
    • R. D. Driver, Existence and stability of solutions of a delay-differential system, Arch. Rational Mech. Anal., 10(1962) 317-335.
    • (1962) Arch. Rational Mech. Anal. , vol.10 , pp. 317-335
    • Driver, R.D.1
  • 6
    • 0037673540 scopus 로고    scopus 로고
    • Uniform asymptotic stability in linear Volterra integrodifferential equations with application to delay systems
    • P. Eloe, M. Islam, and B. Zhang, Uniform asymptotic stability in linear Volterra integrodifferential equations with application to delay systems, Dynamic Systems and Applications, 9(2000) 331-344.
    • (2000) Dynamic Systems and Applications , vol.9 , pp. 331-344
    • Eloe, P.1    Islam, M.2    Zhang, B.3
  • 7
    • 38249002455 scopus 로고
    • Equivalent condition for stability of a Volterra integral-differential equation
    • Y. Hara and R. Miyazaki, Equivalent condition for stability of a Volterra integral-differential equation, J. Math. Anal. Appl., 174(1993) 298-316.
    • (1993) J. Math. Anal. Appl. , vol.174 , pp. 298-316
    • Hara, Y.1    Miyazaki, R.2
  • 8
    • 0039876060 scopus 로고
    • Liapunov-Razumikhn conditions for stability and boundedness of functional differential equations of Volterra type
    • G. Seifert, Liapunov-Razumikhn conditions for stability and boundedness of functional differential equations of Volterra type, J. Differential Equations, 14(1973) 424-430.
    • (1973) J. Differential Equations , vol.14 , pp. 424-430
    • Seifert, G.1
  • 10
    • 29244462060 scopus 로고
    • Nonlinear Volterra integro-differential inequalities and applications to stability theory
    • B. Zhang, Nonlinear Volterra integro-differential inequalities and applications to stability theory, Nonlinear Times and Digest, 1(1994) 249-262.
    • (1994) Nonlinear Times and Digest , vol.1 , pp. 249-262
    • Zhang, B.1
  • 11
    • 0038011465 scopus 로고    scopus 로고
    • Asymptotic stability criteria and integrability properties of the resolvent of Volterra and functional equations
    • B. Zhang, Asymptotic stability criteria and integrability properties of the resolvent of Volterra and functional equations, Funkcialaj Ekvacioj, 40(1997) 335-351.
    • (1997) Funkcialaj Ekvacioj , vol.40 , pp. 335-351
    • Zhang, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.