Abstract This paper introduces a concept of $\mathbb{V}$-time scales, and establishes the existence and uniqueness of solutions for a nonlinear $\mathbb{V}$-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.
LUO Hua. Existence and uniqueness of solutions for a nonlinear V-time scales boundary value problem of dynamic system. Applied Mathematics A Journal of Chinese Universities, 2017, 32(1): 1-12.
