Shibata, Tetsutaro (2023) Global bifurcation curves of nonlocal elliptic equations with oscillatory nonlinear term. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2023 (57). pp. 1-17. ISSN 1417-3875
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Official URL: https://doi.org/10.14232/ejqtde.2023.1.57
Abstract
We study the one-dimensional nonlocal elliptic equation of Kirchhoff type with oscillatory nonlinear term. We establish the precise asymptotic formulas for the bifurcation curves λ(α) as α → ∞ and α → 0, where α := ∥uλ∥∞ and uλ is the solution associated with λ. We show that the second term of λ(α) is oscillatory as α → ∞.
| Item Type: | Article |
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| Uncontrolled Keywords: | nonlocal elliptic equations, oscillatory bifurcation curves, asymptotic formulas |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Kotegelt Import |
| Date Deposited: | 18 Jan 2024 09:45 |
| Last Modified: | 02 Apr 2024 08:48 |
| URI: | https://real.mtak.hu/id/eprint/185197 |
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