Mohammed Ahrami, Zakaria El Allali
Abstract:
This article investigates the gap between the first two eigenvalues of
Schrodinger operators on an interval subjected to the Robin and
Neumann boundary conditions for a class of linear convex potentials.
Furthermore, when the potential is constant the gap is minimized.
Meanwhile, we establish a link between the
first eigenvalues and the real roots of the first derivative of the Airy functions Ai' and Bi'.
Published August 25, 2022.
Math Subject Classifications: 34B05, 34L15, 34L40.
Key Words: Fundamental gap spectral; Schrodinger operators; convex potential; Robin and Neumann boundary conditions; Airy functions.
DOI: https://doi.org/10.58997/ejde.conf.26.a1
Show me the PDF file (300 K), TEX file for this article.
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Mohammed Ahrami Team of Modeling and Scientific Computing Department of Mathematics Multidisciplinary Faculty of Nador University of Mohammed First, Morocco email: m.ahrami@ump.ac.ma |
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Zakaria El Allali Team of Modeling and Scientific Computing Department of Mathematics Multidisciplinary Faculty of Nador University of Mohammed First, Morocco email: z.elallali@ump.ma |
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