Multiple positive solutions for boundary value problems of second order delay differential equations with one-dimensional p-Laplacian

作者：Wang Youyu^*; Zhao Wenxia; Ge Weigao

来源：Journal of Mathematical Analysis and Applications, 2007, 326(1): 641-654.

DOI：10.1016/j.jmaa.2006.03.028

• multiple positive solutions
• delay differential equations
• boundary value problems
• one-dimensional p-Laplacian

We consider the boundary value problems: (phi(p) (x'(t)))' + q(t) f (t, x (t), x (t - 1), x' (t)) = (0), phi(P)(s) = vertical bar s vertical bar(p-2)s, P > 1, t is an element of (0, 1), subject to some boundary conditions. By using a generalization of the LeggettWilliams fixed-point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of at least three positive solutions to the above problems.

• 出版日期2007-2-1
• 单位天津财经大学; 华北电力大学; 北京理工大学