ON THE EXISTENCE OF SOLUTIONS OF TWO POINT BOUNDARY VALUE PROBLEMS FOR THIRD ORDER NONLINEAR DIFFERENTIAL EQUATION AND THEIR BOUNDS
In this paper, we study the bounds of second derivative of solutions for nonlinear third order differential equation and the existence and the bounds of solutions of two-point boundary value problems for third order differential equation
where f is continuous. Some new bounds and existence results are obtained by developing the upper and lower solution methods.
third order nonlinear differential equation, two-point boundary value problems, upper-lower solutions, existence of solutions, bounds of solutions, Nagumo’s condition.