DERIVATIVES OF CAUCHY FUNCTIONS OF n^th ORDER QUASI - DIFFERENTIAL EQUATIONS

Eric R. Kaufmann, Department of Mathematics and Statistics, University of Arkansas at Little Rock, Little Rock, Arkansas 72204-1099, erkaufmann@ualr.edu.

PanAmerican Mathematical Journal, 3 (1993), No. 4, 9-17

ABSTRACT: Quasi-derivatives of Cauchy functions are considered for the n^th order quasi-differential equation
L y º r_n+1 ( r_n (· · · ( r₁ y)¢ · · · )¢ )¢ = 0, where the functions r_k Î C ^{n + 1 - k} [a, b], 1 < k < n + 1 are positive.

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