Page 1 Next

Displaying 1 – 20 of 1023

Showing per page

A generalized periodic boundary value problem for the one-dimensional p-Laplacian

Daqing Jiang, Junyu Wang (1997)

Annales Polonici Mathematici

The generalized periodic boundary value problem -[g(u’)]’ = f(t,u,u’), a < t < b, with u(a) = ξu(b) + c and u’(b) = ηu’(a) is studied by using the generalized method of upper and lower solutions, where ξ,η ≥ 0, a, b, c are given real numbers, g ( s ) = | s | p - 2 s , p > 1, and f is a Carathéodory function satisfying a Nagumo condition. The problem has a solution if and only if there exists a lower solution α and an upper solution β with α(t) ≤ β(t) for a ≤ t ≤ b.

Currently displaying 1 – 20 of 1023

Page 1 Next