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Exact Solutions of Iterative Functional Differential Equations

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Abstract

In general, it is difficult to compute explicit solutions for nonlinear differential equations. In this note, we show how power function solutions can be computed for a class of nonlinear functional equations involving derivatives and iterates of the unknown functions.

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References

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Authors and Affiliations

  1. Department of Mathematics, Tsing Hua University, Hsinchu, 30043, Taiwan, ROC

    Sui Sun Cheng

  2. Department of Mathematics, King Mongkut Institute of Technology, Bangkok, 10520, Thailand

    Sukrawan Talwong

  3. Department of Mathematics, Kasetsart University, Bangkok, 10900, Thailand

    Vichian Laohakosol

Authors
  1. Sui Sun Cheng
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  2. Sukrawan Talwong
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  3. Vichian Laohakosol
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Corresponding author

Correspondence to Sui Sun Cheng.

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Cheng, S., Talwong, S. & Laohakosol, V. Exact Solutions of Iterative Functional Differential Equations. Computing 76, 67–76 (2006). https://doi.org/10.1007/s00607-005-0127-1

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  • DOI: https://doi.org/10.1007/s00607-005-0127-1

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