A Global Description of the Positive Solutions of Sublinear Second-Order Discrete Boundary Value Problems

作者：Ma Ruyun^*; Xu Youji; Gao Chenghua

来源：Advances in Difference Equations, 2009, 2009: 671625.

DOI：10.1155/2009/671625

Let T is an element of N be an integer with T > 1, T := {1,...,T}, (T) over cap : = {0,1,...,T 1}. We consider boundary value problems of nonlinear second- order difference equations of the form Delta(2)u(t - 1) lambda a(t) f (u)(t)) = 0, t is an element of T, u(0) = u(T 1) = 0, where a : T -> R( ), f is an element of C([0, infinity), [0,infinity)) and, f(s) > 0 for s > 0, and f(0) = f(infinity) = 0, f(0) = lim(s -> 0') f(s)/s, f(infinity) = lim(s -> infinity)f (s)/s. We investigate the global structure of positive solutions by using the Rabinowitz's global bifurcation theorem.

• 出版日期2009
• 单位西北师范大学