Abstract: | The convergence of representations of proper continued fractions with arguments in the form of a Volterra operator with a
nondifference core is examined. The problem of determining safe loads for an aging fibrous composite is solved by expanding
irrational functions of an integral operator as a continued fraction and it is shown that the resulting solution converges.
Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Teoreticheskaya i Prikladnaya Mekhanika,
No. 29, pp. 71–77, 1999. |