In this article, we study a first order nonlinear delay differential equation x'( t )+ ∑ i=1 m p i ( t ) f i ( x( τ i ( t ) ) )=0, t≥ t 0 , where pi(t) and τi(t) are the functions of nonnegative of ...
We show that any entire solution of an essentially nonlinear first-order partial differential equation in two variables must be linear. Journal Information This monthly journal, begun in 1950, is ...