메뉴 건너뛰기




Volumn 85, Issue 7, 2008, Pages 1055-1063

A Taylor polynomial approach for solving generalized pantograph equations with nonhomogenous term

Author keywords

Advanced pantograph equation; Taylor series and polynomials

Indexed keywords

PANTOGRAPH EQUATION; TAYLOR POLYNOMIALS; VARIABLE COEFFICIENTS;

EID: 46249090052     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160701466784     Document Type: Article
Times cited : (55)

References (22)
  • 1
    • 0001687872 scopus 로고
    • A model of stage structured population growth with density depended time delay
    • W.G. Ajello, H.I. Freedman and J. Wu, A model of stage structured population growth with density depended time delay, SIAM J. Appl. Math. 52 (1992), pp. 855-869.
    • (1992) SIAM J. Appl. Math , vol.52 , pp. 855-869
    • Ajello, W.G.1    Freedman, H.I.2    Wu, J.3
  • 2
    • 84968503713 scopus 로고
    • Stability of the discretized pantograph differential equation
    • M.D. Buhmann and A. Iserles, Stability of the discretized pantograph differential equation, Math. Comput. 60 (1993), pp. 575-589.
    • (1993) Math. Comput , vol.60 , pp. 575-589
    • Buhmann, M.D.1    Iserles, A.2
  • 3
    • 0031215228 scopus 로고    scopus 로고
    • The pantograph equation in the complex plane
    • G. Derfel and A. Iserles, The pantograph equation in the complex plane, J. Math. Anal. Appl. 213 (1997), pp. 117-132.
    • (1997) J. Math. Anal. Appl , vol.213 , pp. 117-132
    • Derfel, G.1    Iserles, A.2
  • 4
    • 0040821594 scopus 로고    scopus 로고
    • On the asymptotics of solutions of a class of linear functional-differential equations
    • G.A. Derfel and F. Vogl, On the asymptotics of solutions of a class of linear functional-differential equations, Eur. J. Appl. Math. 7 (1996), pp. 511-518.
    • (1996) Eur. J. Appl. Math , vol.7 , pp. 511-518
    • Derfel, G.A.1    Vogl, F.2
  • 5
    • 0003182225 scopus 로고
    • Generalized refinement equation and subdivision process
    • G. Derfel, N. Dyn and D. Levin, Generalized refinement equation and subdivision process, J. Approx. Theory 80 (1995), pp. 272-297.
    • (1995) J. Approx. Theory , vol.80 , pp. 272-297
    • Derfel, G.1    Dyn, N.2    Levin, D.3
  • 6
    • 84876609436 scopus 로고    scopus 로고
    • G. Derfel, On compactly supported solutions of a class of functional-differential Equations, in Modern Problems of Function Theory and Functional Analysis, Karaganta University Press (1980)(in Russian).
    • G. Derfel, On compactly supported solutions of a class of functional-differential Equations, in "Modern Problems of Function Theory and Functional Analysis", Karaganta University Press (1980)(in Russian).
  • 7
    • 0003029132 scopus 로고
    • On the application of spline functions to initial value problems with retarded argument
    • A. El-Safty and S.M. Abo-Hasha, On the application of spline functions to initial value problems with retarded argument, Int. J. Comput. Math. 32 (1990), pp. 173-179.
    • (1990) Int. J. Comput. Math , vol.32 , pp. 173-179
    • El-Safty, A.1    Abo-Hasha, S.M.2
  • 8
    • 27944451151 scopus 로고    scopus 로고
    • Convergence of the spline function for delay dynamic system
    • A. El-Safty, M.S. Salim and M.A. El-Khatib, Convergence of the spline function for delay dynamic system, Int. J. Comput. Math. 80(4) (2003), pp. 509-518.
    • (2003) Int. J. Comput. Math , vol.80 , Issue.4 , pp. 509-518
    • El-Safty, A.1    Salim, M.S.2    El-Khatib, M.A.3
  • 9
    • 27944439311 scopus 로고    scopus 로고
    • The Adomian decomposition method for solving delay differential equation
    • D.J. Evens and K.R. Raslan, The Adomian decomposition method for solving delay differential equation, Int. J. Comput. Math. 82(1) (2005), pp. 49-54.
    • (2005) Int. J. Comput. Math , vol.82 , Issue.1 , pp. 49-54
    • Evens, D.J.1    Raslan, K.R.2
  • 11
    • 27844560234 scopus 로고    scopus 로고
    • A method for the approximate solution of the high-order linear difference equations in terms of Taylor polynomials
    • M. Gulsu and M. Sezer, A method for the approximate solution of the high-order linear difference equations in terms of Taylor polynomials, Int. J. Comput. Math. 82(5) (2005), pp. 629-642.
    • (2005) Int. J. Comput. Math , vol.82 , Issue.5 , pp. 629-642
    • Gulsu, M.1    Sezer, M.2
  • 12
    • 26444543234 scopus 로고    scopus 로고
    • A Taylor polynomial approach for solving differential-difference equations
    • M. Gulsu and M. Sezer, A Taylor polynomial approach for solving differential-difference equations, J. Comput. Appl. Math. 186(2) (2005), pp. 349-364.
    • (2005) J. Comput. Appl. Math , vol.186 , Issue.2 , pp. 349-364
    • Gulsu, M.1    Sezer, M.2
  • 13
    • 25644456645 scopus 로고    scopus 로고
    • The approximate solution of high-order linear difference equation with variable coefficients in terms of Taylor polynomials
    • M. Gulsu and M. Sezer, The approximate solution of high-order linear difference equation with variable coefficients in terms of Taylor polynomials, Appl. Math. Comput. 168 (2005), pp. 76-88.
    • (2005) Appl. Math. Comput , vol.168 , pp. 76-88
    • Gulsu, M.1    Sezer, M.2
  • 14
    • 3242732129 scopus 로고    scopus 로고
    • Properties of analytic solution and numerical solution of multi-pantograph equation
    • M.Z. Liu and D. Li, Properties of analytic solution and numerical solution of multi-pantograph equation, Appl. Math. Comput. 155 (2004), pp. 853-871.
    • (2004) Appl. Math. Comput , vol.155 , pp. 853-871
    • Liu, M.Z.1    Li, D.2
  • 16
    • 0037336074 scopus 로고    scopus 로고
    • On the attainable older of collocation methods for pantograph integro- differential equations
    • Y. Muroya, E. Ishiwata and H. Brunner, On the attainable older of collocation methods for pantograph integro- differential equations, J. Comput. Appl. Math. 152 (2003), pp. 347-366.
    • (2003) J. Comput. Appl. Math , vol.152 , pp. 347-366
    • Muroya, Y.1    Ishiwata, E.2    Brunner, H.3
  • 17
    • 25644449925 scopus 로고    scopus 로고
    • A Taylor polynomial approach for solving high- order linear Fredholm integro- differential equations
    • Ş. Nas, S. Yalçmbaş and M. Sezer, A Taylor polynomial approach for solving high- order linear Fredholm integro- differential equations, Int. J. Math. Educ. Sci. Technol. 31(2) (2000), pp. 213-225.
    • (2000) Int. J. Math. Educ. Sci. Technol , vol.31 , Issue.2 , pp. 213-225
    • Nas, S.1    Yalçmbaş, S.2    Sezer, M.3
  • 18
    • 0001579514 scopus 로고
    • The dynamics of a current collection system for an electric locomotive
    • J.R. Ockendon and A.B. Tayler, The dynamics of a current collection system for an electric locomotive, Proc. Roy. Soc. London Ser. A 322 (1971), pp. 447-468.
    • (1971) Proc. Roy. Soc. London Ser. A , vol.322 , pp. 447-468
    • Ockendon, J.R.1    Tayler, A.B.2
  • 19
    • 28444445911 scopus 로고    scopus 로고
    • A new polynomial approach for solving difference and Fredholm integro-difference equation with mixed argument
    • M. Sezer and M. Gulsu, A new polynomial approach for solving difference and Fredholm integro-difference equation with mixed argument, Appl. Math. Comput. 171(1) (2005), pp. 332-344.
    • (2005) Appl. Math. Comput , vol.171 , Issue.1 , pp. 332-344
    • Sezer, M.1    Gulsu, M.2
  • 20
    • 85016783294 scopus 로고    scopus 로고
    • A method for the approximate solution of the second order linear differential equations in terms of Taylor polynomials
    • M. Sezer, A method for the approximate solution of the second order linear differential equations in terms of Taylor polynomials, Int. J. Math. Educ. Sci. Technol. 27(6) (1996), pp. 821-834.
    • (1996) Int. J. Math. Educ. Sci. Technol , vol.27 , Issue.6 , pp. 821-834
    • Sezer, M.1
  • 22
    • 0000992795 scopus 로고    scopus 로고
    • The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials
    • S. Yalçinbaş and M. Sezer, The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials, Appl. Math. Comput. 112 (2000), pp. 291-308.
    • (2000) Appl. Math. Comput , vol.112 , pp. 291-308
    • Yalçinbaş, S.1    Sezer, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.