Recovering Variable Order Differential Operators with Regular Singularities on Graphs

Vjacheslav Yurko

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arXiv · 1503.01751

Recovering Variable Order Differential Operators with Regular Singularities on Graphs

Vjacheslav Yurko

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Abstract

We study inverse spectral problems for ordinary differential equations with regular singularities on compact star-type graphs when differential equations have different orders on diferent edges. As the main spectral characteristics we introduce and study the so-called Weyl-type matrices which are generalizations of the Weyl function for the classical Sturm-Liouville operator. We provide a procedure for constructing the solution of the inverse problem and prove its uniqueness.

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BibTeX RIS

Vjacheslav Yurko. 2015-01-30. Recovering Variable Order Differential Operators with Regular Singularities on Graphs. https://arxiv.org/abs/1503.01751

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