Stability bounds for solutions of some conditionally well-posed problems on a set containing discontinuous functions

S.L. Logunov
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Abstract

Stability bounds for the solutions of conditionally well-posed problems for the case when the variation and the maximum absolute value of the solutions are bounded by known constants are derived. Differentiation problems, Volterra and Abel integral equations, and convolution equations are considered.

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含不连续函数集上若干条件良定问题解的稳定性界
导出了当解的变分和最大绝对值以已知常数为界时,条件良定问题解的稳定性界。考虑了微分问题、Volterra和Abel积分方程以及卷积方程。
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