On Approximate Controllability of Impulsive Linear Evolution Equations
N. I. Mahmudov
TL;DR
This paper investigates the approximate controllability of impulsive linear evolution equations in Hilbert spaces, providing necessary and sufficient conditions via resolvent operators and illustrating with an example.
Contribution
It introduces new criteria for approximate controllability of impulsive linear evolution equations using resolvent operators.
Findings
Derived necessary and sufficient conditions for controllability
Established resolvent operator criteria
Provided an illustrative example
Abstract
In this paper, we study an approximate controllability for the impulsive linear evolution equations in Hilbert spaces. The necessary and sufficient conditions for approximate controllability in terms of resolvent operators are given. An example is provided to illustrate the application of the obtained results.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Nonlinear Differential Equations Analysis · Numerical methods for differential equations