| A.Ya. Lepin Nonlinear boundary problems for $\varphi$-Laplacian |
| For the boundary value problem $$ (\varphi (t,x,x'))'=f(t,x,x^{'}), \quad H_1x=h_1, \quad H_2x=h_2 $$ the theorem is proved which is the analogue of the corresponding theorem for the boundary value problem $$ x^{''}=f(t,x,x^{'}), \quad H_1x=h_1, \quad H_2x=h_2. $$ |