This article introduces an Ordinary Differential Equation (ODE) notion for survival analysis. The ODE not only provides a unified modeling framework, but more importantly, also enables the development of widely applicable, scalable, and easy-to-implement procedure estimation inference. Specifically, framework unifies many existing models, such as proportional hazards model, linear transformatio...

The paper is dedicated to analytical and algebraic approaches to the problem of the integration of ordinary differential equations. The first part is devoted to linear ordinary differential equations of the second and nth orders, while the second deals with nonlinear ordinary differential equations. Factorization of nonlinear equations of the second and the third orders both through commutative...