权不确定不连续半线上的恢复微分算子

IF 0.7 Q2 MATHEMATICS Tamkang Journal of Mathematics Pub Date : 2020-10-24 DOI:10.5556/j.tkjm.52.2021.3721

V. Yurko

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引用次数: 0

摘要

研究了权不确定不连续半线上的非自伴随二阶微分算子。建立了谱特征的性质，研究了从谱特征中恢复算子的逆问题。对于这类非线性反问题，给出了构造全局解的算法，并证明了唯一性定理。

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Recovering Differential Operators on the Half-Line with Indefinite Discontinuous Weights

Non-self-adjoint second-order differential operators on the half-line with indefinite discontinuous weights are studied. Properties of spectral characteristics are established and inverse problems of recovering operators from their spectral characteristics are investigated. For these class of nonlinear inverse problems algorithms for constructing the global solutions are developed, and uniqueness theorems are proved.

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来源期刊

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.