Exact eigenvalues and eigenfunctions for a one-dimensional Gel’fand problem

Author:

Miyamoto Yasuhito12ORCID,Wakasa Tohru12ORCID

Affiliation:

1. Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan

2. Department of Basic Sciences, Kyushu Institute of Technology, Sensuicho, Tobata-ku, Kitakyushu, Fukuoka 804-8550, Japan

Funder

Japan Society for the Promotion of Science

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference10 articles.

1. Coddington, E. and Levinson, N. Theory of Ordinary Differential Equations (McGraw-Hill Book Company, Inc., New York, Toronto, London, 1955), xii+429 pp.

2. Diffusion and Heat Exchange in Chemical Kinetics

3. The Liouville–Bratu–Gelfand Problem for Radial Operators

4. Asymptotic analysis for two-dimensional elliptic eigenvalue problems with exponentially dominated nonlinearities

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Asymptotic formulas of the eigenvalues for the linearization of the scalar field equation;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2023-09-11

2. Asymptotic formulas of the eigenvalues for the linearization of a one-dimensional sinh-Poisson equation;Journal of Elliptic and Parabolic Equations;2023-07-04

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