Upper Bounds for the Eigenvalue Multiplicities of a Fourth-Order Differential Operator on a Graph

Author:

Urtaeva A. A.

Publisher

Pleiades Publishing Ltd

Reference20 articles.

1. A. V. Borovskikh, R. Mustafokulov, K. P. Lazarev, and Yu. V. Pokornyi, “On one class of fourth-order differential equations on a spatial network,” Dokl. Ross. Akad. Nauk 345 (6), 730–732 (1995) [in Russian].

2. R. Ch. Kulaev and A. A. Urtaeva, “On the multiplicity of eigenvalues of a fourth-order differential operator on a graph,” Differ. Equations 58 (7), 869–876 (2022).

3. R. Ch. Kulaev, “The Green function of the boundary-value problem on a star-shaped graph,” Russ. Math. 57 (2), 48–57 (2013).

4. R. Ch. Kulaev, “Disconjugacy of fourth-order equations on graphs,” Sb. Math. 206 (12), 1731–1770 (2015).

5. Yu. V. Pokornyi and R. Mustafokulov, “On the positivity of the Green’s function of linear boundary value problems for fourth-order equations on a graph,” Russ. Math. 43 (2), 71–78 (1999).

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