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Volumn 2005, Issue 1, 2005, Pages 35-46

Fixed points, stability, and harmless perturbations

(1)  Burton, T a  

a NONE

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EID: 33644660984     PISSN: 16871820     EISSN: 16871812     Source Type: Journal    
DOI: 10.1155/FPTA.2005.35     Document Type: Article
Times cited : (11)

References (26)
  • 1
    • 4644300851 scopus 로고    scopus 로고
    • Asymptotic constancy for neutral functional-differential equations
    • O. Arino M. Pituk Asymptotic constancy for neutral functional-differential equations Differential Equations Dynam. Systems 1998 6 3 261-273
    • (1998) Differential Equations Dynam. Systems , vol.6 , Issue.3 , pp. 261-273
    • Arino, O.1    Pituk, M.2
  • 2
    • 0020708328 scopus 로고
    • Criteria for asymptotic constancy of solutions of functional-differential equations
    • F. V. Atkinson J. R. Haddock Criteria for asymptotic constancy of solutions of functional-differential equations J. Math. Anal. Appl. 1983 91 2 410-423
    • (1983) J. Math. Anal. Appl. , vol.91 , Issue.2 , pp. 410-423
    • Atkinson, F.V.1    Haddock, J.R.2
  • 3
    • 4644246348 scopus 로고
    • Integral inequalities and exponential convergence of solutions of differential equations with bounded delay
    • Springer New York Ordinary and Partial Differential Equations (Dundee, 1982)
    • F. V. Atkinson J. R. Haddock O. J. Staffans W. Everitt B. Sleeman Integral inequalities and exponential convergence of solutions of differential equations with bounded delay Springer New York 1982 964 56-68 Lecture Notes in Math. Ordinary and Partial Differential Equations (Dundee, 1982)
    • (1982) Lecture Notes in Math , vol.964 , pp. 56-68
    • Atkinson, F.V.1    Haddock, J.R.2    Staffans, O.J.3
  • 4
    • 10044236965 scopus 로고
    • A theorem on rearrangements and its application to certain delay differential equations
    • F. H. Brownell W. K. Ergen A theorem on rearrangements and its application to certain delay differential equations Journal of Rational Mechanics and Analysis 1954 3 565-579
    • (1954) Journal of Rational Mechanics and Analysis , vol.3 , pp. 565-579
    • Brownell, F.H.1    Ergen, W.K.2
  • 5
    • 17644401689 scopus 로고
    • Stability and Periodic Solutions of Ordinary and Functional-Differential Equations
    • Academic Press Florida
    • T. A. Burton Stability and Periodic Solutions of Ordinary and Functional-Differential Equations Academic Press Florida 1985 178 Mathematics in Science and Engineering
    • (1985) Mathematics in Science and Engineering , vol.178
    • Burton, T.A.1
  • 6
    • 12844262657 scopus 로고    scopus 로고
    • Stability by fixed point theory or Liapunov theory: A comparison
    • T. A. Burton Stability by fixed point theory or Liapunov theory: A comparison Fixed Point Theory 2003 4 1 15-32
    • (2003) Fixed Point Theory , vol.4 , Issue.1 , pp. 15-32
    • Burton, T.A.1
  • 7
    • 34249341777 scopus 로고    scopus 로고
    • Stability by fixed point methods for highly nonlinear delay equations
    • T. A. Burton Stability by fixed point methods for highly nonlinear delay equations Fixed Point Theory 2004 5 1 3-20
    • (2004) Fixed Point Theory , vol.5 , Issue.1 , pp. 3-20
    • Burton, T.A.1
  • 8
    • 4644340618 scopus 로고    scopus 로고
    • Fixed points and differential equations with asymptotically constant or periodic solutions
    • T. A. Burton Fixed points and differential equations with asymptotically constant or periodic solutions Electron. J. Qual. Theory Differ. Equ. 2004 11 31.
    • (2004) Electron. J. Qual. Theory Differ. Equ. , Issue.11 , pp. 31
    • Burton, T.A.1
  • 9
    • 0041409861 scopus 로고    scopus 로고
    • Fixed points and problems in stability theory for ordinary and functional differential equations
    • T. A. Burton T. Furumochi Fixed points and problems in stability theory for ordinary and functional differential equations Dynam. Systems Appl. 2001 10 1 89-116
    • (2001) Dynam. Systems Appl. , vol.10 , Issue.1 , pp. 89-116
    • Burton, T.A.1    Furumochi, T.2
  • 10
    • 25644446425 scopus 로고
    • Some equations modelling growth processes and gonorrhea epidemics
    • K. L. Cooke J. A. Yorke Some equations modelling growth processes and gonorrhea epidemics Math. Biosci. 1973 16 75-101
    • (1973) Math. Biosci. , vol.16 , pp. 75-101
    • Cooke, K.L.1    Yorke, J.A.2
  • 11
    • 0001501663 scopus 로고
    • Kinetics of the circulating-fuel nuclear reactor
    • W. K. Ergen Kinetics of the circulating-fuel nuclear reactor J. Appl. Phys. 1954 25 702-711
    • (1954) J. Appl. Phys. , vol.25 , pp. 702-711
    • Ergen, W.K.1
  • 12
    • 12844265137 scopus 로고    scopus 로고
    • Asymptotic behavior of solutions of differential equations with variable delays
    • J. R. Graef C. Qian B. Zhang Asymptotic behavior of solutions of differential equations with variable delays Proc. London Math. Soc. (3) 2000 81 1 72-92
    • (2000) Proc. London Math. Soc. (3) , vol.81 , Issue.1 , pp. 72-92
    • Graef, J.R.1    Qian, C.2    Zhang, B.3
  • 13
    • 0011405351 scopus 로고
    • Functional-differential equations for which each constant function is a solution: A narrative
    • János Bolyai Mathematical Society Budapest (Budapest, 1987)
    • J. R. Haddock M. Farkas V. Kertesz G. Stepan Functional-differential equations for which each constant function is a solution: A narrative János Bolyai Mathematical Society Budapest 1987 86-93 Proceedings of the Eleventh International Conference on Nonlinear Oscillations (Budapest, 1987)
    • (1987) Proceedings of the Eleventh International Conference on Nonlinear Oscillations , pp. 86-93
    • Haddock, J.R.1
  • 14
    • 0011497659 scopus 로고
    • An invariance principle of Lyapunov-Razumikhin type for neutral functional-differential equations
    • J. R. Haddock T. Krisztin J. Terjéki J. H. Wu An invariance principle of Lyapunov-Razumikhin type for neutral functional-differential equations J. Differential Equations 1994 107 2 395-417
    • (1994) J. Differential Equations , vol.107 , Issue.2 , pp. 395-417
    • Haddock, J.R.1    Krisztin, T.2    Terjéki, J.3    Wu, J.H.4
  • 15
    • 0141461617 scopus 로고
    • On the location of positive limit sets for autonomous functional-differential equations with infinite delay
    • J. Haddock J. Terjéki On the location of positive limit sets for autonomous functional-differential equations with infinite delay J. Differential Equations 1990 86 1 1-32
    • (1990) J. Differential Equations , vol.86 , Issue.1 , pp. 1-32
    • Haddock, J.1    Terjéki, J.2
  • 16
    • 0001186673 scopus 로고
    • Sufficient conditions for stability and instability of autonomous functional-differential equations
    • J. K. Hale Sufficient conditions for stability and instability of autonomous functional-differential equations J. Differential Equations 1965 1 452-482
    • (1965) J. Differential Equations , vol.1 , pp. 452-482
    • Hale, J.K.1
  • 17
    • 0014492316 scopus 로고
    • Dynamical systems and stability
    • J. K. Hale Dynamical systems and stability J. Math. Anal. Appl. 1969 26 39-59
    • (1969) J. Math. Anal. Appl. , vol.26 , pp. 39-59
    • Hale, J.K.1
  • 18
    • 34547557304 scopus 로고
    • Comportement asymptotique des solutions de l'équation x ′ (t) = -f (t, x (t)) + f (t, x (t-1)) + h (t)
    • (1979)
    • C. Jehu Comportement asymptotique des solutions de l'équation x ′ (t) = -f (t, x (t)) + f (t, x (t-1)) + h (t) Ann. Soc. Sci. Bruxelles Sér. I 1978 92 4 263-269 (1979)
    • (1978) Ann. Soc. Sci. Bruxelles Sér. I , vol.92 , Issue.4 , pp. 263-269
    • Jehu, C.1
  • 19
    • 0001775796 scopus 로고
    • Solutions of x ′ (t) = f (x (t), x (t-L)) have limits when f is an order relation
    • (1978)
    • J. L. Kaplan M. Sorg J. A. Yorke Solutions of x ′ (t) = f (x (t), x (t-L)) have limits when f is an order relation Nonlinear Anal. 1979 3 1 53-58 (1978)
    • (1979) Nonlinear Anal. , vol.3 , Issue.1 , pp. 53-58
    • Kaplan, J.L.1    Sorg, M.2    Yorke, J.A.3
  • 20
    • 0000539285 scopus 로고
    • On stability properties for one-dimensional functional-differential equations
    • T. Krisztin On stability properties for one-dimensional functional-differential equations Funkcial. Ekvac. 1991 34 2 241-256
    • (1991) Funkcial. Ekvac. , vol.34 , Issue.2 , pp. 241-256
    • Krisztin, T.1
  • 21
    • 4644288799 scopus 로고    scopus 로고
    • Asymptotic behaviors of solutions of scalar neutral functional-differential equations
    • Differential Equations-Theory, Methods and Applications (Hyderabad, 1995)
    • T. Krisztin J. Wu Asymptotic behaviors of solutions of scalar neutral functional-differential equations Differential Equations Dynam. Systems 1996 4 3-4 351-366 Differential Equations-Theory, Methods and Applications (Hyderabad, 1995)
    • (1996) Differential Equations Dynam. Systems , vol.4 , Issue.3-4 , pp. 351-366
    • Krisztin, T.1    Wu, J.2
  • 23
    • 84966211955 scopus 로고
    • Stability theorems for some functional equations
    • R. C. MacCamy J. S. W. Wong Stability theorems for some functional equations Trans. Amer. Math. Soc. 1972 164 1-37
    • (1972) Trans. Amer. Math. Soc. , vol.164 , pp. 1-37
    • MacCamy, R.C.1    Wong, J.S.W.2
  • 24
    • 34547590239 scopus 로고
    • Investigation of Nonlinear Control Systems. Part 1, Continuously Acting Control Systems. Part 2
    • Office of Naval Research Washington, DC
    • N. Minorsky Investigation of Nonlinear Control Systems. Part 1, Continuously Acting Control Systems. Part 2 Office of Naval Research Washington, DC 1960
    • (1960)
    • Minorsky, N.1
  • 25
    • 0000767629 scopus 로고
    • Sur la théorie mathématique des phénomènes héréditaires
    • V. Volterra Sur la théorie mathématique des phénomènes héréditaires J. Math. Pures Appl. (9) 1928 7 249-298
    • (1928) J. Math. Pures Appl. (9) , vol.7 , pp. 249-298
    • Volterra, V.1
  • 26
    • 84968468826 scopus 로고
    • On the retarded Liénard equation
    • B. Zhang On the retarded Liénard equation Proc. Amer. Math. Soc. 1992 115 3 779-785
    • (1992) Proc. Amer. Math. Soc. , vol.115 , Issue.3 , pp. 779-785
    • Zhang, B.1


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