In this paper, we prove the existence and uniqueness of solutions for a four-point nonlocal
boundary value problem of nonlinear integro-differential equations of fractional order q∈(1 …

We consider a general fourth order nonlinear ordinary differential equation together with two
point boundary conditions which occur in the deflection of a beam rigidly fastened at left and …

There have been some applications of optimal control theory to boundary value problems for
ordinary differential equations. Among previous works, the best lengths of intervals on which …

For the third-order differential equation y′″= ƒ (t, y, y′, y ″), where, questions involving
'uniqueness implies uniqueness','uniqueness implies existence'and 'optimal length …

Boundary Value Problems for nth Order Lipschitz Equations Page 1 JOURNAL OF
MATHEMATICAL ANALYSIS AND APPLICATIONS 134, 196210 (1988) Boundary Value …

Optimality for Boundary Value Problems for Lipschitz Equations If(t, Xl, . . . . XJ -At, y,, . . . . YJI
dik, Ix, - y,I Page 1 JOURNAL OF DIFFERENTIAL EQUATIONS 77, 392-404 (1989) Optimality …

In this paper, using the optimal control method, we deal with the following boundary value
problem y ″+ f (x, y)= 0, y (0)= c, y (1)= d, under new nonresonance conditions of the form …

" This book is devoted to the study of solutions of nonlinear ODE boundary value problems
as nonlinear interpolation problems. In 1967, Lasota and Opial showed that, under suitable …

This paper deals with the existence-uniqueness problem to Neumann problems for second
order ordinary differential equations probably across resonance. By the optimal control …

UNIQUENESS OF SOLUTIONS FOR FOURTH-ORDER NONLOCAL BOUNDARY VALUE
PROBLEMS Page 1 UNIQUENESS OF SOLUTIONS FOR FOURTH-ORDER NONLOCAL …