Abstract
UDC 517.9 We find all nonnegative solutions f of the equation f ( x ) = ∏ j = 1 n f ( s j x ) p j , defined in a one-sided vicinity of 0 and having a prescribed asymptotic at 0. The main theorem extends a result obtained by J. A. Baker [Proc. Amer. Math. Soc., <strong>121</strong>, 767–773 (1994)].
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