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Volumn 9, Issue 1, 1998, Pages 81-91

The functional-differential equation y′(t) = Ay(t) + By(qt) + Cy′(qt) + f(t)

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EID: 0032351492     PISSN: 09567925     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0956792597003343     Document Type: Article
Times cited : (18)

References (33)
  • 1
    • 0001579514 scopus 로고
    • The dynamics of a current collection system for an electric locomotive
    • OCKENDON, J. R. & TAYLER, A. B. (1971) The dynamics of a current collection system for an electric locomotive. Proc. Royal Soc. A, 322, 447-468
    • (1971) Proc. Royal Soc. A , vol.322 , pp. 447-468
    • Ockendon, J.R.1    Tayler, A.B.2
  • 2
    • 0011447127 scopus 로고
    • On the fluctuation of the brightness of the Milky Way
    • AMBARTSUMIAN, V. A. (1944). On the fluctuation of the brightness of the Milky Way. Doklady Akad. Nauk USSR 44, 223-226
    • (1944) Doklady Akad. Nauk USSR , vol.44 , pp. 223-226
    • Ambartsumian, V.A.1
  • 3
    • 0010890110 scopus 로고
    • T. Kato problem for functional-differential equations and difference Schrödinger operators
    • DERFEL, G. A. (1990) T. Kato problem for functional-differential equations and difference Schrödinger operators. Operator Theory: Advances and Applications, 46, 319-321.
    • (1990) Operator Theory: Advances and Applications , vol.46 , pp. 319-321
    • Derfel, G.A.1
  • 4
    • 84934141431 scopus 로고
    • Asymptotic behaviour of the solutions of linear functional-differential equations. Asymptotic Behaviour of Solutions of Functional-Differential Equations
    • ROMANENKO, E. Y. & SHARKOVSKII, A. N. (1978) Asymptotic behaviour of the solutions of linear functional-differential equations. Asymptotic Behaviour of Solutions of Functional-Differential Equations [in Russian]. Akad. Nauk UkrSSR, Inst. Mat. Kiev, 5-39.
    • (1978) Akad. Nauk UkrSSR, Inst. Mat. Kiev , pp. 5-39
    • Romanenko, E.Y.1    Sharkovskii, A.N.2
  • 5
    • 36149029557 scopus 로고
    • The infinite dimensional dressing dynamical system
    • SHABAT, A. (1992) The infinite dimensional dressing dynamical system. Inverse Problems, 8, 303-308.
    • (1992) Inverse Problems , vol.8 , pp. 303-308
    • Shabat, A.1
  • 6
    • 20444377131 scopus 로고
    • Universal superpositions of coherent states and self-similar potentials
    • SPIRIDONOV, V. (1995) Universal superpositions of coherent states and self-similar potentials. Physical Review A, 52, 1909-1935.
    • (1995) Physical Review A , vol.52 , pp. 1909-1935
    • Spiridonov, V.1
  • 8
    • 0039634995 scopus 로고
    • αx+α F(x - 1)
    • Indagationes Mathematicae, 15; MR 15, 629
    • αx+α F(x - 1). I, II, Nederl. Akad. Wetensch. Proc. 56 (Indagationes Mathematicae, 15); 449-464, MR 15, 629.
    • (1953) I, II, Nederl. Akad. Wetensch. Proc. , vol.56 , pp. 449-464
    • De Bruijn, N.G.1
  • 9
    • 0011398161 scopus 로고
    • Asymptotic behaviour of solutions of the functional differential equation y′(x) = ay(λx) + by(x)
    • Academic Press
    • KATO, T. (1972). Asymptotic behaviour of solutions of the functional differential equation y′(x) = ay(λx) + by(x). Delay and Functional Differential Equations and their Applications, pp. 197-217. Academic Press.
    • (1972) Delay and Functional Differential Equations and Their Applications , pp. 197-217
    • Kato, T.1
  • 10
    • 84966219417 scopus 로고
    • The functional-differential equation y′(x) = ay(λx) + by(x)
    • KATO, T. & MCLEOD, J. B. (1971) The functional-differential equation y′(x) = ay(λx) + by(x). Bull. Amer. Math. Soc. 77, 891-937.
    • (1971) Bull. Amer. Math. Soc. , vol.77 , pp. 891-937
    • Kato, T.1    Mcleod, J.B.2
  • 11
    • 0010822964 scopus 로고
    • Dirichlet series solutions for certain functional differential equations. Japan-United States Seminar on Ordinary Differential and Functional Equations
    • Springer-Verlag
    • FREDERICKSON, P.O. (1971) Dirichlet series solutions for certain functional differential equations. Japan-United States Seminar on Ordinary Differential and Functional Equations. Lecture Notes in Mathematics 243, pp. 247-254. Springer-Verlag.
    • (1971) Lecture Notes in Mathematics , vol.243 , pp. 247-254
    • Frederickson, P.O.1
  • 12
    • 0542424486 scopus 로고
    • Uber die Funktional-Differentialgeleichung f′(z) = f(qz) und verwandte Funktionalgleichungen
    • HAHN, W. (1973) Uber die Funktional-Differentialgeleichung f′(z) = f(qz) und verwandte Funktionalgleichungen. Anm. Univ. Sci. Budapest, E'' otv'' os Sect. Math., pp. 3-21.
    • (1973) Anm. Univ. Sci. Budapest, E'' Otv'' Os Sect. Math. , pp. 3-21
    • Hahn, W.1
  • 13
    • 85034467912 scopus 로고
    • Das Wachstum spezieller analytischer Lösungen der Funktional-Differentialgleichung y′(x) = ay(λx) + iby(x)
    • VOGL, F. (1980). Das Wachstum spezieller analytischer Lösungen der Funktional-Differentialgleichung y′(x) = ay(λx) + iby(x). Glasnik Matematićki, 15 (35), 61-70.
    • (1980) Glasnik Matematićki , vol.15 , Issue.35 , pp. 61-70
    • Vogl, F.1
  • 14
    • 0009559114 scopus 로고
    • Asymptotic bounds of solutions of the functional differential equation x′(t) = ax(λt) + bx(t) + f(x), 0 < λ < 1
    • LIM, E. B. (1978). Asymptotic bounds of solutions of the functional differential equation x′(t) = ax(λt) + bx(t) + f(x), 0 < λ < 1. SIAM J. Math. Anal. 9, 915-920.
    • (1978) SIAM J. Math. Anal. , vol.9 , pp. 915-920
    • Lim, E.B.1
  • 15
    • 0002879915 scopus 로고
    • The matrix functional differential equation y′(x) = Ay(λx) + By(x)
    • 76
    • CARR, J. & DYSON, J. (1975/76) The matrix functional differential equation y′(x) = Ay(λx) + By(x). Proc. Royal Soc. Edinburgh 75 A (2), 5-22.
    • (1975) Proc. Royal Soc. Edinburgh , vol.75 A , Issue.2 , pp. 5-22
    • Carr, J.1    Dyson, J.2
  • 16
    • 0542424488 scopus 로고
    • The matrix functional differential equation y′(x) = Ay(λx) + By(x)
    • Springer-Verlag
    • CARR, J. & DYSON, J. (1974) The matrix functional differential equation y′(x) = Ay(λx) + By(x). Lecture Notes in Mathematics 415, pp. 323-328. Springer-Verlag.
    • (1974) Lecture Notes in Mathematics , vol.415 , pp. 323-328
    • Carr, J.1    Dyson, J.2
  • 17
    • 52649085452 scopus 로고
    • On the generalized pantograph functional-differential equation
    • ISERLES, A. (1993) On the generalized pantograph functional-differential equation. Euro. J. Appl. Math. 4, 1-38.
    • (1993) Euro. J. Appl. Math. , vol.4 , pp. 1-38
    • Iserles, A.1
  • 18
    • 0030523604 scopus 로고    scopus 로고
    • Asymptotic behaviour of functional-differential equations with proportional time delays
    • LIU, Y. (1996). Asymptotic behaviour of functional-differential equations with proportional time delays. Euro. J. Appl. Math. 7 (1), 11-30.
    • (1996) Euro. J. Appl. Math. , vol.7 , Issue.1 , pp. 11-30
    • Liu, Y.1
  • 19
    • 0039541400 scopus 로고
    • Behaviour of solutions of functional and differential-functional equations with several transformations of the independent variable
    • DERFEL, G. A. (1982) Behaviour of solutions of functional and differential-functional equations with several transformations of the independent variable. Ukrainskii Mathematicheskii Zhurnal 34, 350-356.
    • (1982) Ukrainskii Mathematicheskii Zhurnal , vol.34 , pp. 350-356
    • Derfel, G.A.1
  • 20
    • 0000099970 scopus 로고
    • Functional differential equations with compressed arguments and polynomial coefficients: Asymptotics of the solutions
    • DERFEL, G. A. (1995) Functional differential equations with compressed arguments and polynomial coefficients: asymptotics of the solutions. J. Math. Anal. and Appl. 9, 671-679.
    • (1995) J. Math. Anal. and Appl. , vol.9 , pp. 671-679
    • Derfel, G.A.1
  • 21
    • 0031215228 scopus 로고    scopus 로고
    • The pantograph equation in the complex plane
    • DERFEL, G. A. & ISERLES, A. (1997) The pantograph equation in the complex plane. J. Math. Anal. and Appl. 213, 117-132.
    • (1997) J. Math. Anal. and Appl. , vol.213 , pp. 117-132
    • Derfel, G.A.1    Iserles, A.2
  • 22
    • 0040821594 scopus 로고    scopus 로고
    • On the asymptotics of solutions of a class of linear functional-differential equations
    • DERFEL, G. A & VOGL, F. (1996) On the asymptotics of solutions of a class of linear functional-differential equations. Euro. J. Appl. Maths. 7, 511-518.
    • (1996) Euro. J. Appl. Maths. , vol.7 , pp. 511-518
    • Derfel, G.A.1    Vogl, F.2
  • 23
    • 84893735286 scopus 로고
    • On pantograph integro-differential equations
    • ISERLES, A. & LIU, Y. (1994). On pantograph integro-differential equations. J. Integral Equations and Applic. 6(2), 213-237.
    • (1994) J. Integral Equations and Applic. , vol.6 , Issue.2 , pp. 213-237
    • Iserles, A.1    Liu, Y.2
  • 24
    • 0031081849 scopus 로고    scopus 로고
    • On neutral functional-differential equations with proportional delays
    • ISERLES, A. & LIU, Y. (1997). On neutral functional-differential equations with proportional delays. J. Math. Anal. Appl. 207, 73-95.
    • (1997) J. Math. Anal. Appl. , vol.207 , pp. 73-95
    • Iserles, A.1    Liu, Y.2
  • 25
    • 0031108769 scopus 로고    scopus 로고
    • Integro-differential equations and generalized hypergeometric functions
    • ISERLES, A. & LIU, Y. (1997) Integro-differential equations and generalized hypergeometric functions. J. Math. Anal. Appl. 208, 404-424.
    • (1997) J. Math. Anal. Appl. , vol.208 , pp. 404-424
    • Iserles, A.1    Liu, Y.2
  • 26
    • 0001255506 scopus 로고
    • Monotonic and oscillatory solutions of a linear neutral delay equation with infinite lag
    • KUANG, Y. & FELDSTEIN, A. (1990). Monotonic and oscillatory solutions of a linear neutral delay equation with infinite lag. SIAM J. Math. Anal. 21 (6), 1633-1641.
    • (1990) SIAM J. Math. Anal. , vol.21 , Issue.6 , pp. 1633-1641
    • Kuang, Y.1    Feldstein, A.2
  • 27
  • 28
    • 22044440742 scopus 로고    scopus 로고
    • On neutral functional differential equations with variable delays
    • To appear
    • FELDSTEIN, A. & LIU, Y. (1998) On neutral functional differential equations with variable delays. Proc. of Cam. Phil. Soc. To appear.
    • (1998) Proc. of Cam. Phil. Soc.
    • Feldstein, A.1    Liu, Y.2
  • 29
    • 0000427731 scopus 로고
    • On nonlinear delay differential equations
    • ISERLES, A. (1994). On nonlinear delay differential equations. Trans. Amer. Math. Soc. 344, 441-447.
    • (1994) Trans. Amer. Math. Soc. , vol.344 , pp. 441-447
    • Iserles, A.1
  • 33
    • 84971116385 scopus 로고
    • The functional differential equation y′(x) = ay(λx) + by(x)
    • 75
    • CARR, J. & DYSON, J. (1974/75). The functional differential equation y′(x) = ay(λx) + by(x). Proc. Royal Soc. Edinburgh 74 A (13), 165-174.
    • (1974) Proc. Royal Soc. Edinburgh , vol.74 A , Issue.13 , pp. 165-174
    • Carr, J.1    Dyson, J.2


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