Abstract— We prove that a controllable set of smooth trajectories is the solution set of a constant coefficient linear differential equation if and only if it is linear, time in...
This paper first provides a common framework for partial differential equation problems in both strong and weak form by rewriting them as generalized interpolation problems. Then ...
This paper presents a new symbolic algorithm to compute the singular initial value problem of second-order ordinary differential equations using Adomian decomposition method. The ...
Using two classes of test functions introduced recently by the authors, a criterion for conditional stability of the trivial solution of a second-order semi-linear differential eq...
Cezar Avramescu, Octavian G. Mustafa, Svitlana P. ...
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...