Optimal Existence Results for nth Order Periodic Boundary Value Difference Equations

Periodic Boundary Value Problems for First Order Difference Equations

In this paper, existence criteria for single and multiple positive solutions of periodic boundary value problems for first order difference equations of the form

Existence of Solutions for Multipoint Boundary Value Problems for Nth Order Differential Equations

Shooting methods are employed to obtain solutions of multipoint boundary value problem for the nth order equation, y = f(x, y, y′, . . . , y(n−1)), satisfying boundary conditions for which solutions are unique, under a right disfocality assumption.

Existence-Uniqueness Theorems for Three-Point Boundary Value Problems for nth-Order Nonlinear Differential Equations

where 01, ,l3, y and the x’s are real. It will be assumed throughout this paper that f (t, Ul , u, ,.-., un) is continuous on [CX, r] x R”. The approach taken here is similar to that of Barr and Sherman [I] and is based on the use of a solutionmatching technique that assumes existence and/or uniqueness of solutions to corresponding problems for the subintervals [cu, ,Kj and [p, y]. We refer to ...

PERIODIC BOUNDARY VALUE PROBLEMS FOR nTH-ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN

We prove existence results for solutions of periodic boundary value problems concerning the nth-order differential equation with p-Laplacian [φ(x(n−1)(t))]′ = f (t,x(t),x′(t), . . . , x(n−1)(t)) and the boundary value conditions x(i)(0)=x(i)(T), i= 0, . . . ,n− 1. Our method is based upon the coincidence degree theory of Mawhin. It is interesting that f may be a polynomial and the degree of som...

Existence and Location Results for Fully Nonlinear Boundary Value Problem of nth-Order Nonlinear System