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Ambarzumyan theorem for third order ordinary differential equations with discontinuity conditions inside a finite interval

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Abstract

The Ambarzumyan theorem is studied for third order differential equation with discontinuity conditions inside a finite interval. To deduce this theorem, the estimates of solutions, the counting lemma and estimates of eigenvalues are discussed.

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Funding

This research was supported by the Fundamental Research Funds for the Central Universities of Civil Aviation University of China (G. No. 3122022061); Natural Science Foundation of Tianjin (G. No. 20JCQNJC01440).

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Correspondence to Yixuan Liu.

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Liu, Y., Yan, J. Ambarzumyan theorem for third order ordinary differential equations with discontinuity conditions inside a finite interval. Anal.Math.Phys. 13, 16 (2023). https://doi.org/10.1007/s13324-023-00778-x

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  • DOI: https://doi.org/10.1007/s13324-023-00778-x

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