本計劃在討論在time scales上的半線性隱函數方程,用index理論來討論解的存在,並用Lyapunov函數來處理解的穩定性。 This paper studies the stability of the solution for a class of quasi-linear implicit dynamic equations on time scales of the form . We deal with an index concept to study the solvability and use Lyapunov functions as a tool to approach the stability problem.