Forward-Backward Bounded Solutions to Differential Inclusions
Oleg Zubelevich
TL;DR
This paper demonstrates that certain differential inclusions possess solutions that are both defined and bounded across the entire real line, with implications for dynamic systems analysis.
Contribution
It introduces conditions under which differential inclusions have globally bounded solutions, expanding understanding of their long-term behavior.
Findings
Existence of bounded solutions for specific classes of differential inclusions
Applications to dynamic systems with bounded trajectories
Conditions ensuring solutions are defined for all real values
Abstract
It is shown that some class of differential inclusions has solutions that are defined and bounded for all real values of independent variable. Applications to dynamics are considered.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Optimization and Variational Analysis · Nonlinear Differential Equations Analysis