Lagrange formula for differential operators and self-adjoint restrictions of the maximal operator on a tree


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Authors

  • Baltabek Kanguzhin
  • Lyalilya Zhapsarbayeva
  • Zhumabay Madibaiuly

DOI:

https://doi.org/10.32523/2077-9879-2019-10-1-16-29

Keywords:

directed graph, tree, Kirchhoff conditions, self-adjoint restrictions

Abstract

The paper is devoted to linear differential operators defined on a tree. We aim at obtaining complete descriptions of well-posed restrictions of a given maximal differential operator on a tree. In this paper all self-adjoint restrictions of the maximal operator and also all the invertible restrictions of the maximal operator are described. We also present the Lagrange formula for a differential operator on a tree with the Kirchhoff conditions at its interior vertices.

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Published

2019-03-30

How to Cite

Kanguzhin, B., Zhapsarbayeva, L., & Madibaiuly, Z. (2019). Lagrange formula for differential operators and self-adjoint restrictions of the maximal operator on a tree . Eurasian Mathematical Journal, 10(1), 16–29. https://doi.org/10.32523/2077-9879-2019-10-1-16-29

Issue

Vol. 10 No. 1 (2019)

Section

Articles