Nontrivial solutions of discrete Kirchhoff-type problem via bifurcation theory

• Autorzy: Ye Fumei

Identyfikatory

DOI

10.7494/OpMath.2025.45.4.559

• Języki publikacji: EN

Abstrakty

EN

In this paper, we show that the bifurcation points for a discrete Kirchhoff-type problem with only local conditions, and we investigate the existence of positive and negative solutions for the problem when the nonlinear term ƒ is asymptotically linear at zero and is asymptotically 3-linear at infinity. By using bifurcation techniques and the idea of taking limits of connected branches, under the assumption that ƒ has some non-zero zeros, some results are also obtained.

Słowa kluczowe

EN

discrete Kirchhoff-type problem; nontrivial solution; bifurcation; superior limit

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2025
• Tom: Vol. 45, no. 4
• Strony: 559--573
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Ye Fumei

• School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, China

• https://orcid.org/0000-0003-1754-308X

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025)