We consider an extended Chaplygin gas equation of state which is driven from D-brane action and construct a cosmological model based on this equation of state. In this regard, we compute the scale factor of the model under a certain approximation. The conservation equation of this case is a non-linear differential equation which should solve using the special conditions. We also analyze the stability of the model by using sound speed as well as adiabatic index and discuss certain special cases of the model. We find special equation of state in this model which yields to dynamical and thermodynamical stability. Furthermore, we study the cosmological consequences of this model under certain conditions.

我们考虑了由D膜作用驱动的扩展的Chaplygin气体状态方程，并基于该状态方程构建了宇宙学模型。在这方面，我们以一定的近似值计算模型的比例因子。这种情况下的守恒方程是非线性微分方程，应使用特殊条件进行求解。我们还通过使用声速和绝热指数来分析模型的稳定性，并讨论模型的某些特殊情况。我们在该模型中找到了特殊的状态方程，得出了动态和热力学稳定性。此外，我们研究了该模型在某些条件下的宇宙学后果。