Skip to main content

On The Polynomial-Like Iterative Functional Equation

  • Chapter

Part of the book series: Mathematics and Its Applications ((MAIA,volume 518))

Abstract

in this paper we give some properties of solutions of the iterative functional f n+1 (x)+⋯+a 0 x, equation considering its characteristic equation. Auseful method to discuss the general case is detailed described for the case n = 2.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. I.C. Bivens, Problem, Amer.Math.Monthly, 91(1984), no.7, p.938.

    MathSciNet  Google Scholar 

  2. M.K. Fort, Jr., Continuous solutions of a functional equation, Ann.Polon.Math. 13(1963), 205–211.

    MathSciNet  MATH  Google Scholar 

  3. W. Jarczyk, On an equation of linear iteration, Aequationes Math. 51(1996), 303–310.

    Article  MathSciNet  MATH  Google Scholar 

  4. M. Kuczma, Functional Equations in a Single Variables, Monografie Mat.46, PWN, Warszwa, 1966.

    Google Scholar 

  5. M. Kuczma, On monotonic solutions of a functional equation (I), Ann.Polon.Math. 9(1960), 295–297.

    MathSciNet  Google Scholar 

  6. J. Matkowski, Remark 35, The 26th ISFE, April 24–May 3, 1988, Sant Feliu de Guixols, Catalonia, Spain, Report of Meeting, Aequationes Math. 37(1989), 119–120.

    Google Scholar 

  7. A. Mukherjea and J.S. Ratti, On a functional equation involving iterates of a bijection on the unit interval, Nonlinear Analysis, 7(1983), 899–908.

    Article  MathSciNet  MATH  Google Scholar 

  8. S. Nabeya, On the functional equation f(p + qx + rf(x))-a + bx + cf(x), Aequationes Math. 11(1974), 199–211.

    Article  MathSciNet  MATH  Google Scholar 

  9. Weinian Zhang, Discussion of the solutions of the iterated equation, Chin.Sci.Bul. 32(1987), no.21, 1444–1452.

    MATH  Google Scholar 

  10. Weinian Zhang, Stability of solutions of the iterated equation, Acta Math.Sci. 8(1988), no.4, 421–424.

    MATH  Google Scholar 

  11. Weinian Zhang, Discussion on the differentiable solutions of the iterated equation, Nonlinear Analysis, 15(1990), no.4, 387–398.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Matkowski, J., Zhang, W. (2000). On The Polynomial-Like Iterative Functional Equation. In: Functional Equations and Inequalities. Mathematics and Its Applications, vol 518. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4341-7_14

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-4341-7_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5869-8

  • Online ISBN: 978-94-011-4341-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics