Boundedness of Solutions of Quasi-periodic p-Laplacian Equations with Jumping Nonlinearity.

Autor: Zhang, Xin Li, Peng, Ya Qun, Piao, Da Xiong
Předmět:
Zdroj: Acta Mathematica Sinica; Jan2023, Vol. 39 Issue 1, p176-192, 17p
Abstrakt: In this article, we prove the existence of quasi-periodic solutions and the boundedness of all solutions of the p-Laplacian equation (ϕp(x′))′ + aϕp(x+) − bϕp(x)= g(x,t) + f(t), where g(x,t) and f(t) are quasi-periodic in t with Diophantine frequency. A new method is presented to obtain the generating function to construct canonical transformation by solving a quasi-periodic homological equation. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index