A PROOF OF THE GEARHART’S THEOREM
DOI:
https://doi.org/10.15381/pes.v16i2.12189Keywords:
Spectral radius, The type of semigroup, Exponentially stable semigroup, Periodic solution of non-homogeneous equation, The Gearthart’s theoremAbstract
Using the notion of semigroup type, periodic solution of a nonhomogeneous equation, the fundamental principles of functional analysis, and strongly the notions of spectral theory, we give a proof of the famous and important result of Gearhart, about exponential stability of a semigroup, introduced in Liu- Zheng [1].
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Copyright (c) 2013 Yolanda Silvia Santiago Ayala
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