Matches in SemOpenAlex for { <https://semopenalex.org/work/W2899935815> ?p ?o ?g. }
Showing items 1 to 94 of
94
with 100 items per page.
- W2899935815 abstract "Let $mathbb {X}$ be a Banach space. Let $A$ be the generator of an immediately norm continuous $C_0$-semigroup defined on $mathbb {X}$. We study the uniform exponential stability of solutions of the Volterra equation $u'(t) = Au(t)+displaystyle int _0^t a(t-s)Au(s),ds,quad tgeq 0, u(0)=x$, noindent where $a$ is a suitable kernel and $xin mathbb {X}$. Using a matrix operator, we obtain some spectral conditions on $A$ that ensure the existence of constants $C,omega >0$ such that $|u(t)|leq Ce^{-omega t}|x|$, for each $xin D(A)$ and all $tgeq 0$. With these results, we prove the existence of a uniformly exponential stable resolvent family to an integro-differential equation with infinite delay. Finally, sufficient conditions are established for the existence and uniqueness of bounded mild solutions to this equation." @default.
- W2899935815 created "2018-11-16" @default.
- W2899935815 creator A5054676489 @default.
- W2899935815 creator A5090459753 @default.
- W2899935815 date "2018-06-01" @default.
- W2899935815 modified "2023-09-26" @default.
- W2899935815 title "Uniform exponential stability and applications to bounded solutions of integro-differential equations in Banach spaces" @default.
- W2899935815 cites W1432347126 @default.
- W2899935815 cites W1569026023 @default.
- W2899935815 cites W1590932878 @default.
- W2899935815 cites W1844930144 @default.
- W2899935815 cites W1862779880 @default.
- W2899935815 cites W1975939301 @default.
- W2899935815 cites W2011296679 @default.
- W2899935815 cites W2027159462 @default.
- W2899935815 cites W2028052023 @default.
- W2899935815 cites W2041495895 @default.
- W2899935815 cites W2048626366 @default.
- W2899935815 cites W2061353065 @default.
- W2899935815 cites W2063112668 @default.
- W2899935815 cites W2065144664 @default.
- W2899935815 cites W2068077558 @default.
- W2899935815 cites W2074967990 @default.
- W2899935815 cites W2076598197 @default.
- W2899935815 cites W2092708795 @default.
- W2899935815 cites W2120134178 @default.
- W2899935815 cites W2137590364 @default.
- W2899935815 cites W2962766204 @default.
- W2899935815 cites W4230923404 @default.
- W2899935815 cites W62340337 @default.
- W2899935815 doi "https://doi.org/10.1216/jie-2018-30-3-347" @default.
- W2899935815 hasPublicationYear "2018" @default.
- W2899935815 type Work @default.
- W2899935815 sameAs 2899935815 @default.
- W2899935815 citedByCount "11" @default.
- W2899935815 countsByYear W28999358152019 @default.
- W2899935815 countsByYear W28999358152020 @default.
- W2899935815 countsByYear W28999358152021 @default.
- W2899935815 countsByYear W28999358152022 @default.
- W2899935815 countsByYear W28999358152023 @default.
- W2899935815 crossrefType "journal-article" @default.
- W2899935815 hasAuthorship W2899935815A5054676489 @default.
- W2899935815 hasAuthorship W2899935815A5090459753 @default.
- W2899935815 hasBestOaLocation W28999358152 @default.
- W2899935815 hasConcept C118615104 @default.
- W2899935815 hasConcept C132954091 @default.
- W2899935815 hasConcept C134306372 @default.
- W2899935815 hasConcept C17744445 @default.
- W2899935815 hasConcept C191795146 @default.
- W2899935815 hasConcept C19496378 @default.
- W2899935815 hasConcept C196267783 @default.
- W2899935815 hasConcept C199539241 @default.
- W2899935815 hasConcept C202444582 @default.
- W2899935815 hasConcept C207405024 @default.
- W2899935815 hasConcept C2777021972 @default.
- W2899935815 hasConcept C2778025262 @default.
- W2899935815 hasConcept C33923547 @default.
- W2899935815 hasConcept C34388435 @default.
- W2899935815 hasConcept C78045399 @default.
- W2899935815 hasConceptScore W2899935815C118615104 @default.
- W2899935815 hasConceptScore W2899935815C132954091 @default.
- W2899935815 hasConceptScore W2899935815C134306372 @default.
- W2899935815 hasConceptScore W2899935815C17744445 @default.
- W2899935815 hasConceptScore W2899935815C191795146 @default.
- W2899935815 hasConceptScore W2899935815C19496378 @default.
- W2899935815 hasConceptScore W2899935815C196267783 @default.
- W2899935815 hasConceptScore W2899935815C199539241 @default.
- W2899935815 hasConceptScore W2899935815C202444582 @default.
- W2899935815 hasConceptScore W2899935815C207405024 @default.
- W2899935815 hasConceptScore W2899935815C2777021972 @default.
- W2899935815 hasConceptScore W2899935815C2778025262 @default.
- W2899935815 hasConceptScore W2899935815C33923547 @default.
- W2899935815 hasConceptScore W2899935815C34388435 @default.
- W2899935815 hasConceptScore W2899935815C78045399 @default.
- W2899935815 hasIssue "3" @default.
- W2899935815 hasLocation W28999358151 @default.
- W2899935815 hasLocation W28999358152 @default.
- W2899935815 hasOpenAccess W2899935815 @default.
- W2899935815 hasPrimaryLocation W28999358151 @default.
- W2899935815 hasRelatedWork W1982488386 @default.
- W2899935815 hasRelatedWork W1986685357 @default.
- W2899935815 hasRelatedWork W1989964743 @default.
- W2899935815 hasRelatedWork W1992743083 @default.
- W2899935815 hasRelatedWork W2008095897 @default.
- W2899935815 hasRelatedWork W2062415992 @default.
- W2899935815 hasRelatedWork W2337702566 @default.
- W2899935815 hasRelatedWork W2413284023 @default.
- W2899935815 hasRelatedWork W2810663125 @default.
- W2899935815 hasRelatedWork W2962850370 @default.
- W2899935815 hasVolume "30" @default.
- W2899935815 isParatext "false" @default.
- W2899935815 isRetracted "false" @default.
- W2899935815 magId "2899935815" @default.
- W2899935815 workType "article" @default.