English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We give a relation between the exponential stability of $ C_{0}- $semigroup $\textbf{T}=\left\lbrace T(t) \right\rbrace_{t\geq 0} $ and the solutions ofLyapunov inequality $ \left\langle QAx,x\right\langle +\left\langleQx,Ax\right\langle \leq -||x||^{2}, $ in $ B^{+}(X,X^{*}) $, with $ X $ is aBanach space. The solutions of this inequality characterizes, the boundednessof the resolvent $ R(\lambda,A) $ inside and outside of the left half-plane $\Re\lambda\geq 0 $, and also the left invertibility of the $ C_{0}- $semigroupT.

Exponential stability of c0-semigroup via Lyapunov inequality in Banach space