论文标题

具有界限的自主线性中性方程作为初始数据

Autonomous linear neutral equations with bounded Borel functions as initial data

论文作者

Walther, Hans-Otto

论文摘要

对于严格延迟的中性项的方程式,我们构建了基本解决方案,从而得出了不均匀方程的常规公式的变化,并证明了增长估计。仅使用不可避免的措施和整合理论,直到Riesz表示定理。一个关键的概念是连续函数的有界序列的点收敛。

For equations with the neutral term strictly delayed we construct the fundamental solution, derive a variation-of-constants formula for inhomogeneous equations, and prove growth estimates. Only unavoidable measure and integration theory, up to the Riesz Representation Theorem, is used. A key notion is pointwise convergence of bounded sequences of continuous functions.

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