Inverse spectral problem of a class of fourth-order eigenparameter-dependent boundary value problems

Author:

Ao Ji-jun,Zhang Liang

Abstract

AbstractThis paper deals with a class of inverse spectral problems of fourth-order boundary value problems with eigenparameter-dependent boundary conditions. Under the equivalent conditions of the problem and a certain type of matrix eigenvalue problem some coefficient functions are reconstructed from the given three sets of interlacing real numbers and several additional conditions. The key technique is the method of inverse matrix eigenvalue problems of a two-banded matrix.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Inner Mongolia

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference27 articles.

1. Ao, J.J., Bo, F.Z.: Matrix representations of fourth order boundary value problems with eigenparameter-dependent boundary conditions. Acta Math. Sinica (Chin. Ser.) 60, 427–438 (2017) (in Chinese)

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3. Ao, J.J., Sun, J., Zhang, M.Z.: The finite spectrum of Sturm–Liouville problems with transmission conditions. Appl. Math. Comput. 218, 1166–1173 (2011)

4. Ao, J.J., Sun, J., Zhang, M.Z.: Equivalence of fourth order boundary value problems and matrix eigenvalue problems. Results Math. 63, 581–595 (2013)

5. Ao, J.J., Zhang, L.: Inverse spectral problem of fourth-order boundary value problems with finite spectrum. Math. Methods Appl. Sci. 42, 4472–4479 (2019)

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