A third-order boundary value problem with one-sided Nagumo condition Original Research Article

In this paper we present an existence and location result for the third-order separated boundary value problem View the MathML sourceu‴(t)=f(t,u(t),u′(t),u″(t)),u(a)=A,u″(a)=0,u″(b)=0, Turn MathJax on where f:[a,b]×R3→Rf:[a,b]×R3→R is a continuous function and A∈RA∈R. One-sided Nagumo condition, lower and upper solutions, a priori estimates and Leray–Schauder degree play an important role in the arguments.