Geodesic
A Stieltjes–Volterra Integral Equation Theory
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 314-331

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Suppose S = [a, b] is a number interval and F is a function from S X S to a normed algebraic ring N with multiplicative identity I. We consider the problem of finding, for appropriate conditions on F, a function M from S X S to N such that for all t and x, where the integral is a Cauchy-left integral. 
Hinton, D. B. A Stieltjes–Volterra Integral Equation Theory. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 314-331. doi: 10.4153/CJM-1966-035-3
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