Multiple Positive Solutions to Multipoint Boundary Value Problem for a System of Second-Order Nonlinear Semipositone Differential Equations on Time Scales

作者：Wu, Gang; Li, Longsuo^*; Cong, Xinrong; Miao, Xiufeng

来源：Journal of Applied Mathematics, 2013, 2013: 679316.

DOI：10.1155/2013/679316

• DYNAMIC EQUATIONS
• EXISTENCE

We study a system of second-order dynamic equations on time scales (P(1)u(1)(del))(Delta) (t) - q(1)(t)u(1)(t) + lambda f(1)(t,u(1)(t), u(2)(t)) = 0,t is an element of (t(1),t(n)), (P(2)u(2)(del))(Delta) (t) - q(2)(t)u(2)(t) + lambda f(2)(t,u(2)(t), u(2)(t)) = 0, satisfying four kinds of differentmultipoint boundary value conditions, f(i) is continuous and semipositone. We derive an interval of lambda such that any lambda lying in this interval, the semipositone coupled boundary value problem has multiple positive solutions. The arguments are based upon fixed-point theorems in a cone.

• 出版日期2013
• 单位哈尔滨工业大学; 哈尔滨商业大学