The problem of finding the exact analytical closed‐form solution of some families of non‐linear functional equations is studied, in some detail, by the Special Trans Function Theory (STFT). The mathematical genesis of the analytical closed‐form solutions and the structure of theoretical derivation, are presented. Undoubtedly, the proposed analytical theory implies the qualitative improvement of the conventional approaches.

Topics
Functional analysis, Functional equations
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© 2007 American Institute of Physics.
2007
American Institute of Physics
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