On a generalization of a theorem of S. Bernstein

J. Ciesielski, J. Maksymiuk, M. Starostka

In this paper we obtain a solution to the second order boundary value problem of the form $\frac{d}{dt}{\Phi }^{\prime }(\dot{u})=f(t,u,\dot{u}),t\in [0,1],u:\mathbb{R}\to \mathbb{R}$ wit…