Asymptotic behavior for a linear Volterra integral equation in Hilbert space

Saved in:
Bibliographic Details
Published inJournal of Differential Equations Vol. 23; no. 2; pp. 270 - 284
Main Authors Miller, Richard K, Wheeler, Robert L
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.01.1977
Online AccessGet full text

Cover

Loading…
Author Wheeler, Robert L
Miller, Richard K
Author_xml – sequence: 1
  givenname: Richard K
  surname: Miller
  fullname: Miller, Richard K
  organization: Mathematics Department, Iowa State University, Ames, Iowa 50010 U.S.A
– sequence: 2
  givenname: Robert L
  surname: Wheeler
  fullname: Wheeler, Robert L
  organization: Mathematics Department, University of Missouri at Columbia, Columbia, Missouri 65201 U.S.A
BookMark eNp9UMFKAzEUDFLBtvoHHnLUw-rLZrPZXIRSrBUKXtRreJu-1ch2tyax0L93a8Wjh8fAY2aYmQkbdX1HjF0KuBEgyluAPM9AmvJK62sDQkJmTthYgIEs1zIfsfEf5YxNYvwAEEKVasxWs7jfbFOfvOM1vePO94E3wyFvfUcY-GvfJgoBue8SvQVsOX1-YfJ9N3z40rc1hcTjFh2ds9MG20gXvzhlL4v75_kyWz09PM5nq8xJKFNWaZS1W6uGmqpCido1SETGCUIA4yRiaVRuikoblEJLgEKZulTgjCp0KaesOPq60McYqLHb4DcY9laAPSxiD3Xtoa7V2v4sYs0guzvKaMi28xRsdJ46R2sfyCW77v3_Bt84y2nh
CitedBy_id crossref_primary_10_1007_s13370_024_01196_3
crossref_primary_10_1007_BF01461726
crossref_primary_10_1007_s12591_014_0233_7
crossref_primary_10_1007_BF01682739
crossref_primary_10_1016_j_jprocont_2019_06_006
crossref_primary_10_1007_BF01682673
crossref_primary_10_1080_00036818408839521
crossref_primary_10_1016_0022_0396_83_90076_1
crossref_primary_10_1016_0022_0396_82_90054_7
crossref_primary_10_1016_0022_0396_85_90011_7
crossref_primary_10_1137_0510089
crossref_primary_10_1080_02681118908806063
crossref_primary_10_1090_S0002_9947_1982_0664046_4
crossref_primary_10_1016_0022_247X_87_90272_1
crossref_primary_10_1016_0022_247X_83_90191_9
crossref_primary_10_1137_0519010
crossref_primary_10_1016_0022_247X_78_90234_2
crossref_primary_10_1137_0518096
Cites_doi 10.1137/0506060
10.1016/0022-0396(74)90090-4
10.1090/S0002-9947-1967-0206754-7
10.1007/BF00251609
10.1137/0506046
10.1016/0022-247X(72)90240-5
10.1016/0022-247X(72)90276-4
10.2307/2373715
10.1016/0022-247X(75)90072-4
10.1016/0022-247X(72)90258-2
10.1090/S0002-9947-1972-0293355-X
10.1016/0022-247X(76)90067-6
ContentType Journal Article
Copyright 1977
Copyright_xml – notice: 1977
DBID 6I.
AAFTH
AAYXX
CITATION
DOI 10.1016/0022-0396(77)90130-9
DatabaseName ScienceDirect Open Access Titles
Elsevier:ScienceDirect:Open Access
CrossRef
DatabaseTitle CrossRef
DeliveryMethod fulltext_linktorsrc
Discipline Mathematics
EISSN 1090-2732
EndPage 284
ExternalDocumentID 10_1016_0022_0396_77_90130_9
0022039677901309
GroupedDBID --K
--M
--Z
-DZ
-~X
.~1
0R~
1B1
1RT
1~.
1~5
29K
4.4
457
4G.
5GY
5VS
6I.
6TJ
7-5
71M
8P~
9JN
AACTN
AAEDT
AAEDW
AAFTH
AAIAV
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AAQXK
AASFE
AAXUO
ABAOU
ABEFU
ABFNM
ABJNI
ABLJU
ABMAC
ABVKL
ABXDB
ABYKQ
ACAZW
ACDAQ
ACGFS
ACNCT
ACRLP
ADBBV
ADEZE
ADFGL
ADIYS
ADMUD
AEBSH
AEKER
AENEX
AEXQZ
AFFNX
AFKWA
AFTJW
AGHFR
AGUBO
AGYEJ
AHHHB
AIEXJ
AIGVJ
AIKHN
AITUG
AJBFU
AJOXV
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
ARUGR
ASPBG
AVWKF
AXJTR
AZFZN
BKOJK
BLXMC
CAG
COF
CS3
D-I
DM4
DU5
EBS
EFBJH
EFLBG
EJD
EO8
EO9
EP2
EP3
F5P
FDB
FEDTE
FGOYB
FIRID
FNPLU
FYGXN
G-2
G-Q
GBLVA
HVGLF
HZ~
IHE
IXB
J1W
KOM
LG5
M25
M41
MCRUF
MHUIS
MO0
MVM
NCXOZ
O-L
O9-
OAUVE
OHT
OK1
OZT
P-8
P-9
P2P
PC.
Q38
R2-
RIG
RNS
ROL
RPZ
SDF
SDG
SDP
SES
SEW
SPC
SPCBC
SSW
SSZ
T5K
TN5
TWZ
UPT
WH7
WUQ
XPP
YQT
YYP
ZCG
ZMT
ZU3
~G-
0SF
AAXKI
AAYXX
ADVLN
AKRWK
CITATION
ID FETCH-LOGICAL-c306t-87a3bcd5fef88a3a7cfaeee9c1ea009c3aa695294879a317300459b650c954763
IEDL.DBID IXB
ISSN 0022-0396
IngestDate Thu Sep 12 18:08:07 EDT 2024
Fri Feb 23 02:27:03 EST 2024
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 2
Language English
License http://www.elsevier.com/open-access/userlicense/1.0
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c306t-87a3bcd5fef88a3a7cfaeee9c1ea009c3aa695294879a317300459b650c954763
OpenAccessLink https://www.sciencedirect.com/science/article/pii/0022039677901309
PageCount 15
ParticipantIDs crossref_primary_10_1016_0022_0396_77_90130_9
elsevier_sciencedirect_doi_10_1016_0022_0396_77_90130_9
PublicationCentury 1900
PublicationDate 1977-01-01
PublicationDateYYYYMMDD 1977-01-01
PublicationDate_xml – month: 01
  year: 1977
  text: 1977-01-01
  day: 01
PublicationDecade 1970
PublicationTitle Journal of Differential Equations
PublicationYear 1977
Publisher Elsevier Inc
Publisher_xml – name: Elsevier Inc
References Miller (BIB10) 1975; 18
Hannsgen (BIB3) 1975; 6
Miller, Nohel (BIB11) 1975; 6
Friedman, Shinbrot (BIB2) 1967; 126
Taylor (BIB13) 1958
Miller (BIB9) 1974; 15
Jordan, Wheeler (BIB6) 1976; 55
Jordan, Wheeler (BIB5) 1976; 57
Dafermos (BIB1) 1970; 37
Levin, Shea, Levin, Shea, Levin, Shea (BIB7) 1972; 37
Shea, Wainger (BIB12) 1975; 97
Titchmarsh (BIB14) 1948
Jordan, Wheeler (BIB4) 1975; 52
MacCamy, Wong (BIB8) 1972; 164
Levin (10.1016/0022-0396(77)90130-9_BIB7_1) 1972; 37
MacCamy (10.1016/0022-0396(77)90130-9_BIB8) 1972; 164
Taylor (10.1016/0022-0396(77)90130-9_BIB13) 1958
Jordan (10.1016/0022-0396(77)90130-9_BIB4) 1975; 52
Levin (10.1016/0022-0396(77)90130-9_BIB7_3) 1972; 37
Dafermos (10.1016/0022-0396(77)90130-9_BIB1) 1970; 37
Levin (10.1016/0022-0396(77)90130-9_BIB7_2) 1972; 37
Miller (10.1016/0022-0396(77)90130-9_BIB9) 1974; 15
Jordan (10.1016/0022-0396(77)90130-9_BIB5) 1976; 57
Hannsgen (10.1016/0022-0396(77)90130-9_BIB3) 1975; 6
Jordan (10.1016/0022-0396(77)90130-9_BIB6) 1976; 55
Shea (10.1016/0022-0396(77)90130-9_BIB12) 1975; 97
Miller (10.1016/0022-0396(77)90130-9_BIB10) 1975; 18
Friedman (10.1016/0022-0396(77)90130-9_BIB2) 1967; 126
Miller (10.1016/0022-0396(77)90130-9_BIB11) 1975; 6
Titchmarsh (10.1016/0022-0396(77)90130-9_BIB14) 1948
References_xml – volume: 57
  start-page: 109
  year: 1976
  end-page: 114
  ident: BIB5
  article-title: A generalization of the Wiener-Lévy theorem applicable to some Volterra equations
  publication-title: Proc. Amer. Math. Soc.
  contributor:
    fullname: Wheeler
– volume: 164
  start-page: 1
  year: 1972
  end-page: 37
  ident: BIB8
  article-title: Stability theorems for some functional equations
  publication-title: Trans. Amer. Math. Soc.
  contributor:
    fullname: Wong
– volume: 6
  start-page: 506
  year: 1975
  end-page: 522
  ident: BIB11
  article-title: A stable manifold theorem for a system of Volterra integro-differential equations
  publication-title: SIAM J. Math. Anal.
  contributor:
    fullname: Nohel
– volume: 55
  start-page: 596
  year: 1976
  end-page: 615
  ident: BIB6
  article-title: Asymptotic behavior of unbounded solutions of linear Volterra integral equations
  publication-title: J. Math. Anal. Appl.
  contributor:
    fullname: Wheeler
– volume: 126
  start-page: 131
  year: 1967
  end-page: 179
  ident: BIB2
  article-title: Volterra integral equations in Banach space
  publication-title: Trans. Amer. Math. Soc.
  contributor:
    fullname: Shinbrot
– volume: 15
  start-page: 129
  year: 1974
  end-page: 157
  ident: BIB9
  article-title: Structure of solutions of unstable linear Volterra integrodifferential equations
  publication-title: J. Differential Equations
  contributor:
    fullname: Miller
– year: 1958
  ident: BIB13
  article-title: Introduction to Functional Analysis
  contributor:
    fullname: Taylor
– volume: 52
  start-page: 454
  year: 1975
  end-page: 464
  ident: BIB4
  article-title: Linear integral equations with asymptotically almost periodic solutions
  publication-title: J. Math. Anal. Appl.
  contributor:
    fullname: Wheeler
– volume: 37
  start-page: 297
  year: 1970
  end-page: 308
  ident: BIB1
  article-title: Asymptotic stability in viscoelasticity
  publication-title: Arch. Rational Mech. Anal.
  contributor:
    fullname: Dafermos
– volume: 97
  start-page: 312
  year: 1975
  end-page: 343
  ident: BIB12
  article-title: Variants of the Wiener-Lévy theorem, with applications to stability problems for some Volterra integral equations
  publication-title: Amer. J. Math.
  contributor:
    fullname: Wainger
– year: 1948
  ident: BIB14
  article-title: Introduction to the Theory of Fourier Integrals
  contributor:
    fullname: Titchmarsh
– volume: 6
  start-page: 689
  year: 1975
  end-page: 697
  ident: BIB3
  article-title: Uniform boundedness in a class of Volterra equations
  publication-title: SIAM J. Math. Anal.
  contributor:
    fullname: Hannsgen
– volume: 37
  start-page: 42
  year: 1972
  end-page: 82
  ident: BIB7
  article-title: On the asymptotic behavior of the bounded solutions of some integral equations. I
  publication-title: J. Math. Anal. Appl.
  contributor:
    fullname: Shea
– volume: 18
  start-page: 163
  year: 1975
  end-page: 193
  ident: BIB10
  article-title: Volterra integral equations in a Banach space
  publication-title: Funckcial. Ekvac.
  contributor:
    fullname: Miller
– volume: 6
  start-page: 689
  year: 1975
  ident: 10.1016/0022-0396(77)90130-9_BIB3
  article-title: Uniform boundedness in a class of Volterra equations
  publication-title: SIAM J. Math. Anal.
  doi: 10.1137/0506060
  contributor:
    fullname: Hannsgen
– volume: 15
  start-page: 129
  year: 1974
  ident: 10.1016/0022-0396(77)90130-9_BIB9
  article-title: Structure of solutions of unstable linear Volterra integrodifferential equations
  publication-title: J. Differential Equations
  doi: 10.1016/0022-0396(74)90090-4
  contributor:
    fullname: Miller
– volume: 18
  start-page: 163
  year: 1975
  ident: 10.1016/0022-0396(77)90130-9_BIB10
  article-title: Volterra integral equations in a Banach space
  publication-title: Funckcial. Ekvac.
  contributor:
    fullname: Miller
– volume: 126
  start-page: 131
  year: 1967
  ident: 10.1016/0022-0396(77)90130-9_BIB2
  article-title: Volterra integral equations in Banach space
  publication-title: Trans. Amer. Math. Soc.
  doi: 10.1090/S0002-9947-1967-0206754-7
  contributor:
    fullname: Friedman
– volume: 37
  start-page: 297
  year: 1970
  ident: 10.1016/0022-0396(77)90130-9_BIB1
  article-title: Asymptotic stability in viscoelasticity
  publication-title: Arch. Rational Mech. Anal.
  doi: 10.1007/BF00251609
  contributor:
    fullname: Dafermos
– volume: 6
  start-page: 506
  year: 1975
  ident: 10.1016/0022-0396(77)90130-9_BIB11
  article-title: A stable manifold theorem for a system of Volterra integro-differential equations
  publication-title: SIAM J. Math. Anal.
  doi: 10.1137/0506046
  contributor:
    fullname: Miller
– volume: 37
  start-page: 537
  year: 1972
  ident: 10.1016/0022-0396(77)90130-9_BIB7_3
  article-title: On the asymptotic behavior of the bounded solutions of some integral equations. III
  publication-title: J. Math. Anal. Appl.
  doi: 10.1016/0022-247X(72)90240-5
  contributor:
    fullname: Levin
– year: 1948
  ident: 10.1016/0022-0396(77)90130-9_BIB14
  contributor:
    fullname: Titchmarsh
– volume: 37
  start-page: 288
  year: 1972
  ident: 10.1016/0022-0396(77)90130-9_BIB7_2
  article-title: On the asymptotic behavior of the bounded solutions of some integral equations. II
  publication-title: J. Math. Anal. Appl.
  doi: 10.1016/0022-247X(72)90276-4
  contributor:
    fullname: Levin
– volume: 97
  start-page: 312
  year: 1975
  ident: 10.1016/0022-0396(77)90130-9_BIB12
  article-title: Variants of the Wiener-Lévy theorem, with applications to stability problems for some Volterra integral equations
  publication-title: Amer. J. Math.
  doi: 10.2307/2373715
  contributor:
    fullname: Shea
– volume: 52
  start-page: 454
  year: 1975
  ident: 10.1016/0022-0396(77)90130-9_BIB4
  article-title: Linear integral equations with asymptotically almost periodic solutions
  publication-title: J. Math. Anal. Appl.
  doi: 10.1016/0022-247X(75)90072-4
  contributor:
    fullname: Jordan
– volume: 37
  start-page: 42
  year: 1972
  ident: 10.1016/0022-0396(77)90130-9_BIB7_1
  article-title: On the asymptotic behavior of the bounded solutions of some integral equations. I
  publication-title: J. Math. Anal. Appl.
  doi: 10.1016/0022-247X(72)90258-2
  contributor:
    fullname: Levin
– year: 1958
  ident: 10.1016/0022-0396(77)90130-9_BIB13
  contributor:
    fullname: Taylor
– volume: 57
  start-page: 109
  year: 1976
  ident: 10.1016/0022-0396(77)90130-9_BIB5
  article-title: A generalization of the Wiener-Lévy theorem applicable to some Volterra equations
  contributor:
    fullname: Jordan
– volume: 164
  start-page: 1
  year: 1972
  ident: 10.1016/0022-0396(77)90130-9_BIB8
  article-title: Stability theorems for some functional equations
  publication-title: Trans. Amer. Math. Soc.
  doi: 10.1090/S0002-9947-1972-0293355-X
  contributor:
    fullname: MacCamy
– volume: 55
  start-page: 596
  year: 1976
  ident: 10.1016/0022-0396(77)90130-9_BIB6
  article-title: Asymptotic behavior of unbounded solutions of linear Volterra integral equations
  publication-title: J. Math. Anal. Appl.
  doi: 10.1016/0022-247X(76)90067-6
  contributor:
    fullname: Jordan
SSID ssj0011565
Score 1.265397
SourceID crossref
elsevier
SourceType Aggregation Database
Publisher
StartPage 270
Title Asymptotic behavior for a linear Volterra integral equation in Hilbert space
URI https://dx.doi.org/10.1016/0022-0396(77)90130-9
Volume 23
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV07T8MwELZQWWBAPEV5VB4YYLBKGjuOx7aiqqCUhVYRi-W4Z6kS9BkG_j3nPKoiIQZGX-woOkfffRfffSHkRkkBrYCnLHIuZdypmKVSpgwjn5XAY-BFtcUw6o_4YyKSrV4YX1ZZYn-B6Tlal5Zm6c3mYjr1fdyt-1BFXjAPgdj38HlpT9_Dl3Q2BwmYnohKMNzPrrrngqi5sd1KeZffg6nfo9NWxOkdkoOSKtJ28TRHZAdmx2T_eaOzuj4hg_b662ORzXFEq4Z7ijSUGurpo1nR8dwfh68MLXUh3iksC3VvtND-1EtcZRRhxcIpGfUeXrt9Vv4fgVkk-hkCmQlTOxEOXByb0EjrDAAoG4BB6mRDYyIlWgpzEmWQJ3hxLaFS5GRWCY7AckZqs_kMzglFEjaxEAAHnONig9d5JCB2PiUMI1EnrPKLXhQyGLqqD_N-1N6PWkqd-1GrOpGV8_SP7dSI1H-uvPj3ykuyFyCbLb6PXJFatvqEa2QMWdogu-3O-GnQyN8NHA27ycvbN_ulvCA
link.rule.ids 315,786,790,3525,27602,27957,27958,45698,45909
linkProvider Elsevier
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV07T8MwELagDMCAeIry9MAAg1XS2HE8FkSVQtupRd0sxz1LlaAtbRj495zzqIqEGBhzsaPobH33XXz3hZAbJQU0A56yyLmUcadilkqZMox8VgKPgRfVFv0oGfLnkRit9cL4ssoS-wtMz9G6tDRKbzbmk4nv427ehyrygnkIxGqTbHGh7v3O7oweVicJmJ-ISjHcD6_a54KosbLdSnmXP4Sp38PTWshp75O9kivSVvE6B2QDpodkt7cSWl0ekW5r-fU-z2Z4RauOe4o8lBrq-aNZ0NeZPw9fGFoKQ7xR-CjkvdFCk4nXuMoo4oqFYzJsPw0eE1b-IIFZZPoZIpkJUzsWDlwcm9BI6wwAKBuAQe5kQ2MiJZoKkxJlkCh4dS2hUiRlVgmOyHJCatPZFE4JRRY2thAABxzjYoP3eSQgdj4nDCNRJ6zyi54XOhi6KhDzftTej1pKnftRqzqRlfP0j_XUCNV_zjz798xrsp0Mel3d7fRfzslOgNS2-FhyQWrZ4hMukT5k6VW-P74Bxlu7_w
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Asymptotic+behavior+for+a+linear+Volterra+integral+equation+in+Hilbert+space&rft.jtitle=Journal+of+Differential+Equations&rft.au=Miller%2C+Richard+K&rft.au=Wheeler%2C+Robert+L&rft.date=1977-01-01&rft.issn=0022-0396&rft.volume=23&rft.issue=2&rft.spage=270&rft.epage=284&rft_id=info:doi/10.1016%2F0022-0396%2877%2990130-9&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_0022_0396_77_90130_9
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0022-0396&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0022-0396&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0022-0396&client=summon