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 / Amoroso, E; Candito, P; Mawhin, J. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 519:2(2023), p. 126807. [10.1016/j.jmaa.2022.126807]
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.| File | Dimensione | Formato | |
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