首页|Determining the initial data generating solutions with prescribed behaviour of a triangular system of linear discrete equations
Determining the initial data generating solutions with prescribed behaviour of a triangular system of linear discrete equations
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NSTL
Elsevier
Investigation of the asymptotic properties of solutions to systems of discrete equations is a topic of permanent interest. Numerous papers analyze the so-called prescribed behaviour of solutions giving sufficient conditions for the existence of at least one solution having a given asymptotic behaviour. To a smaller extent the problem is considered of determining the initial data generating such solutions. The present paper finds its niche being concerned with the case of a triangular system of linear discrete equations. The existence of solutions with a prescribed asymptotic behaviour is proved and algorithms suggested for computing stepwise the initial data defining such solutions and eventually suggesting these. Illustrative examples (supported with a MATLAB program) are considered and some open problems are formulated as well. (C) 2021 Elsevier Inc. All rights reserved.
Linear discrete equationinitial datatriangular systemalgorithmMATLAB programRETRACT PRINCIPLEBOUNDED SOLUTIONSWAZEWSKITHEOREMSET
NSTL
Elsevier
