Scalar discrete nonlinear multipoint boundary value problems

Adjoints of Multipoint-integral Boundary Value Problems

The dual system to Ly=y'+Py, J_AtyOi)+ f1 K(t)v(t)dt = 0 is found when the setting is ¿°(0,1), 1 /2 -1 l/jj dt Kp' denote those vectors in X which are absolutely cont...

Discrete Boundary-value Problems

We consider multivariate sequences, deened by a partial linear recurrence equation together with appropriate boundary conditions. The domain of deenition of these sequences is the rst orthant of the integer lattice, restricted in some dimensions to an initial segment of the nonnegative integers. By means of the kernel method we obtain an explicit expression for the generating function of the so...

Nonlinear Discrete Periodic Boundary Value Problems at Resonance

Nonlinear Elliptic Boundary Value Problems

It is the object of the present note to present a new nonlinear version of the orthogonal projection method for proving the existence of solutions of nonlinear elliptic boundary value problems. The key point in this method is the application of a new general theorem concerning the solvability of nonlinear functional equations in a reflexive Banach space involving operators which may not be cont...

Nonlinear Multivalued Boundary Value Problems ∗

In this paper, we study nonlinear second order differential inclusions with a multivalued maximal monotone term and nonlinear boundary conditions. We prove existence theorems for both the convex and nonconvex problems, when domA 6= R and domA = R , with A being the maximal monotone term. Our formulation incorporates as special cases the Dirichlet, Neumann and periodic problems. Our tools come f...