具有内点奇点的Dirac系统的谱分析
Spectral analysis of the Dirac system with a singularity in an interior point
摘要:
研究了在内点具有不可积正则奇点的直线上的非自伴Dirac系统,并在奇点处附加了匹配条件.特殊的基本系统的解决方案,构造规定的分析和渐近性质。相应的斯托克斯乘数的行为建立。这些基本的解决方案系统将用于研究谱分析的正问题和反问题。
英文摘要:
We study the non-selfadjoint Dirac system on the line having an non-integrable regular singularity in an interior point with additional matching conditions at the singular point. Special fundamental systems of solutions are constructed with prescribed analytic and asymptotic properties. Behavior of the corresponding Stockes multipliers is established. These fundamental systems of solutions will be used for studying direct and inverse problems of spectral analysis.
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