In this paper, a careful analysis on the existence of a priori bounded solutions for difference equations is provided. In particular, we study a second order nonlinear difference boundary value problem and its relationship with the continuous one and we obtain a version of these existence results with a priori bounds of the solution u and its derivative u ', u '' and we give an analytic expression of the solution u as the limit of a suitable sequence of functions. (c) 2022 Elsevier Inc. All rights reserved.

Existence of a priori bounded solutions for discrete two-point boundary value problems

Candito, P;
2023-01-01

Abstract

In this paper, a careful analysis on the existence of a priori bounded solutions for difference equations is provided. In particular, we study a second order nonlinear difference boundary value problem and its relationship with the continuous one and we obtain a version of these existence results with a priori bounds of the solution u and its derivative u ', u '' and we give an analytic expression of the solution u as the limit of a suitable sequence of functions. (c) 2022 Elsevier Inc. All rights reserved.
2023
Difference methods
A priori bounds
Variational methods
Nonlinear two point boundary value problems
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/135566
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