Electronic Journal of Differential Equations, Vol. 2008(2008), No. 110, pp. 1-11. Title: Stability of quasi-linear differential equations with transition conditions Authors: Weizhen Feng (South China Normal Univ., Guangzhou, China) Yubin Liu (Huizhou University, Huizhou, China) Abstract: This paper investigates the stability of quasi-linear differential equations on certain time scales with transition condition (DETC). We establish Sufficient conditions for stability and illustrate our results with examples. Submitted January 14, 2008. Published August 15, 2008. Math Subject Classifications: 35J20, 35J25. Key Words: Differential equations on time scales; transition conditions; impulsive differential equations; stability.