中文摘要：

引入V时标的概念,并对一类非线性V时标动态系统非共振边值问题,在非线性项不跨相应线性问题的特征值时,运用临界点理论,获得了问题解的存在性和唯一性定理.

英文摘要：

This paper introduces a concept of V-time scales, and establishes the existence and uniqueness of solutions for a nonlinear V-time scales boundary value problem of dynamic system under some non-resonance conditions. The main result is based upon the distribution of eigenvalues of the corresponding linear problem, and the main tool is the critical point theory.