Higher order functional boundary value problems without monotone assumptions

Higher order multi-point fractional boundary value problems with integral boundary conditions

In this paper, we concerned with positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions. We establish the criteria for the existence of at least one, two and three positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions by using a result from the theory of fixed...

Singular Discrete Higher Order Boundary Value Problems

We study singular discrete nth order boundary value problems with mixed boundary conditions. We prove the existence of a positive solution by means of the lower and upper solutions method and the Brouwer fixed point theorem in conjunction with perturbation methods to approximate regular problems. AMS subject classification: 39A10, 34B16.

Boundary value problems for higher order parabolicequationsRussell

Functional Boundary Value Problems without Growth Restrictions

Let J = [O,TJ and F : C°(J) x C°(J) x lH'.--7 Ll(J) be an operator. Existence theorems for the functional differential equation (g(x'(t)))' = (F(x,x',x'(t)))(t) with functional boundary conditions generalizing the non-homogeneous Dirichlet boundary conditions and nonhomogeneous mixed boundary conditions are given. Existence results are proved by the Leray-Schauder degree theory under some sign ...

A Higher Order Monotone Iterative Scheme for Nonlinear Neumann Boundary Value Problems

The generalized quasilinearization technique has been employed to obtain a sequence of approximate solutions converging monotonically and rapidly to a solution of the nonlinear Neumann boundary value problem.