Hypergeometric sequences are such that the quotient of two successive terms is a fixed rational function of the index. We give a generalization of M. Petkov6ek’s algorithm to fi...
In this paper, we discuss the existence of positive periodic solutions to the nonlinear differential equation u (t) + a(t)u(t) = f (t, u(t)), t R, where a : R [0, +) is an -peri...
In this paper we propose a new framework for designing a delay differential equation (DDE) solver which works with any supplied initial value problem (IVP) solver that is based on...
In this note we consider the computability of the solution of the initial-value problem for ordinary differential equations with continuous right-hand side. We present algorithms ...
Abstract. Solutions of the optimal control and H-control problems for nonlinear affine systems can be found by solving Hamilton-Jacobi equations. However, these first order nonline...