论文信息 - COMPUTATION OF ROUGH SOLUTIONS OF ABEL INTEGRAL EQUATIONS

COMPUTATION OF ROUGH SOLUTIONS OF ABEL INTEGRAL EQUATIONS

ABSTRACT For first and second kind Abel integral equations the problem of approximating solutions which are the sum of a Lipschitz-continuous function and a linear combination of Heaviside functions (the jump points and the heights of the jumps being unknown) is considered. It is shown that the equidistant backward Euler method converges in L1-norm as the steplength tends to zero.

Rudolf Gorenflo | R. Gorenflo

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