A constructive approach towards the Method of Solution-Regions
F. Adri\'an F. Tojo
TL;DR
This paper develops a constructive theory of solution-regions for linear conditions, providing new hypotheses for the existence and multiplicity of solutions in a mathematical framework.
Contribution
It introduces a constructive approach to solution-regions and extends the theory to general linear conditions, offering new existence and multiplicity results.
Findings
Extended the theory to general linear conditions
Provided sets of sufficient hypotheses for solutions
Developed a constructive framework for solution-regions
Abstract
In this work we develop the theory of solution-regions with a constructive approach. We also extend the theory to the case of general linear conditions and provide various sets of sufficient hypotheses for existence and multiplicity results.
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Taxonomy
TopicsMatrix Theory and Algorithms · Advanced Differential Equations and Dynamical Systems · Numerical methods for differential equations