This paper investigates the errors of the solutions as well as the shadowing property of a class of nonlinear differential equations which possess unique solutions on a certain interval for any admissible initial conditions. The class of differential equations are assumed to be approximated by well-posed truncated Taylor series expansions up to a certain order obtained about certain, in general non-periodic, sampling points of the solution.
Asymptotic expansions about infinity for solutions of nonlinear differential equations with coherently decaying forcing functions
On Mitropol'skii Yu.A.'s Theorem on Periodic Solutions of Systems of Nonlinear Differential Equations with Non-Differentiable Right-Hand-Sides
Galoisian Methods for Testing Irreducibility of Order Two Nonlinear Differential Equations
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