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An Existence Theorem for Iterative Functional Differential Equations

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Abstract

A local existence theorem is proved for an iterative functional differential equation by means of the Schauder fixed point theorem.

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References

  1. J. G. Si and S. S. Cheng, Smooth solutions of a nonhomogeneous iterative functional differential equation, Proc. Royal Soc. Edinburgh, 128A (1998), 821–831.

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  2. K. Wang, On the equation x′(t) = f(x(x(t))), Funkcialaj Ekvacioj, 33 (1990), 405–425.

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  3. A. M. Ostrowski, Solutions of Equations in Euclidean and Banach Spaces, 3rd ed., Academic Press (San Diego, 1973).

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Authors and Affiliations

  1. DEPARTMENT OF MATHEMATICS, TSING HUA UNIVERSITY, HSINCHU, TAIWAN, 30043

    Sui Sun Cheng

  2. DEPARTMENT OF MATHEMATICS, SICHNAN UNIVERSITY CHENGDU, SICHNAN, 61006X, P. R. CHINA

    Ian-Guo Si

  3. DEPARTMENT OF MATHEMATICS, BINZHOU NORMAL COLLEGE BINZHOU, SHANDONG, 256604, P. R. CHINA

    Wang Xin-Ping

Authors
  1. Sui Sun Cheng
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  2. Ian-Guo Si
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  3. Wang Xin-Ping
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Cheng, S.S., Si, IG. & Xin-Ping, W. An Existence Theorem for Iterative Functional Differential Equations. Acta Mathematica Hungarica 94, 1–17 (2002). https://doi.org/10.1023/A:1015609518664

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  • DOI: https://doi.org/10.1023/A:1015609518664

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