메뉴 건너뛰기




Volumn 50, Issue 5-6, 2005, Pages 655-669

Some comments on: Existence of solutions of abstract nonlinear second-order neutral functional integrodifferential equations

Author keywords

Infinite delay; Neutral partialdifferential equation; Phase field model; Phase space; Second order equation

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; LINEAR EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; THEOREM PROVING;

EID: 26444484883     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2005.08.001     Document Type: Article
Times cited : (33)

References (31)
  • 1
    • 0344465034 scopus 로고    scopus 로고
    • Existence of solutions of abstract-nonlinear second-order neutral functional integrodifferential equations
    • K. Balachandran, D.G. Park, and S.M. Anthoni Existence of solutions of abstract-nonlinear second-order neutral functional integrodifferential equations Computers Math. Applic. 46 8/9 2003 1313 1324
    • (2003) Computers Math. Applic. , vol.46 , Issue.8-9 , pp. 1313-1324
    • Balachandran, K.1    Park, D.G.2    Anthoni, S.M.3
  • 2
    • 0000448195 scopus 로고
    • Compactness, regularity, and uniform continuity properties of strongly continuous cosine families
    • C.C. Travis, and G.F. Webb Compactness, regularity, and uniform continuity properties of strongly continuous cosine families Houston J. Math. 3 4 1977 555 567
    • (1977) Houston J. Math. , vol.3 , Issue.4 , pp. 555-567
    • Travis, C.C.1    Webb, G.F.2
  • 6
    • 0034195994 scopus 로고    scopus 로고
    • Existence of solutions for a class of partial neutral differential equations
    • M. Adimy, K. Ezzinbi, and M. Laklach Existence of solutions for a class of partial neutral differential equations C. R. Acad. Sci. Paris Ser. I Math. 330 11 2000 957 962
    • (2000) C. R. Acad. Sci. Paris Ser. i Math. , vol.330 , Issue.11 , pp. 957-962
    • Adimy, M.1    Ezzinbi, K.2    Laklach, M.3
  • 7
    • 3142697661 scopus 로고    scopus 로고
    • Existence and stability for some partial neutral functional differential equations with infinite delay
    • M. Adimy, H. Bouzahir, and K. Ezzinbi Existence and stability for some partial neutral functional differential equations with infinite delay J. Math. Anal. Appl. 294 2 2004 438 461
    • (2004) J. Math. Anal. Appl. , vol.294 , Issue.2 , pp. 438-461
    • Adimy, M.1    Bouzahir, H.2    Ezzinbi, K.3
  • 8
    • 0002373922 scopus 로고    scopus 로고
    • A class of linear partial neutral functional-differential equations with nondense domain
    • M. Adimy, and K. Ezzinbi A class of linear partial neutral functional-differential equations with nondense domain J. Diff. Eqns. 147 2 1998 285 332
    • (1998) J. Diff. Eqns. , vol.147 , Issue.2 , pp. 285-332
    • Adimy, M.1    Ezzinbi, K.2
  • 9
    • 0002267313 scopus 로고    scopus 로고
    • Strict solutions of nonlinear hyperbolic neutral differential equations
    • M. Adimy, and K. Ezzinbi Strict solutions of nonlinear hyperbolic neutral differential equations Appl. Math. Lett. 12 1 1999 107 112
    • (1999) Appl. Math. Lett. , vol.12 , Issue.1 , pp. 107-112
    • Adimy, M.1    Ezzinbi, K.2
  • 10
    • 0040827174 scopus 로고
    • Linear autonomous neutral differential equations in a Banach space
    • R. Datko Linear autonomous neutral differential equations in a Banach space J. Diff. Eqns. 25 2 1977 258 274
    • (1977) J. Diff. Eqns. , vol.25 , Issue.2 , pp. 258-274
    • Datko, R.1
  • 11
    • 0000913699 scopus 로고
    • Partial neutral functional-differential equations
    • J.K. Hale Partial neutral functional-differential equations Rev. Roumaine Math Pures Appl. 39 4 1994 339 344
    • (1994) Rev. Roumaine Math Pures Appl. , vol.39 , Issue.4 , pp. 339-344
    • Hale, J.K.1
  • 12
    • 0142046253 scopus 로고    scopus 로고
    • Rotating waves in neutral partial functional-differential equations
    • J. Wu, and H. Xia Rotating waves in neutral partial functional- differential equations J. Dynam. Diff. Eqns. 11 2 1999 209 238
    • (1999) J. Dynam. Diff. Eqns. , vol.11 , Issue.2 , pp. 209-238
    • Wu, J.1    Xia, H.2
  • 13
    • 0029692971 scopus 로고    scopus 로고
    • Self-sustained oscillations in a ring array of coupled lossless transmission lines
    • J. Wu, and H. Xia Self-sustained oscillations in a ring array of coupled lossless transmission lines J. Diff. Eqns. 124 1 1996 247 278
    • (1996) J. Diff. Eqns. , vol.124 , Issue.1 , pp. 247-278
    • Wu, J.1    Xia, H.2
  • 14
    • 0000308614 scopus 로고    scopus 로고
    • Existence of periodic solutions of partial neutral functional- differential equations with unbounded delay
    • E. Hernández, and H.R. Henríquez Existence of periodic solutions of partial neutral functional-differential equations with unbounded delay J. Math. Anal. Appl. 221 2 1998 499 522
    • (1998) J. Math. Anal. Appl. , vol.221 , Issue.2 , pp. 499-522
    • Hernández, E.1    Henríquez, H.R.2
  • 15
    • 0000308613 scopus 로고    scopus 로고
    • Existence results for partial neutral functional-differential equations with unbounded delay
    • E. Hernández, and H.R. Henríquez Existence results for partial neutral functional-differential equations with unbounded delay J. Math. Anal. Appl. 221 2 1998 452 475
    • (1998) J. Math. Anal. Appl. , vol.221 , Issue.2 , pp. 452-475
    • Hernández, E.1    Henríquez, H.R.2
  • 16
    • 11144356814 scopus 로고    scopus 로고
    • Existence results for partial neutral integrodifferential equations with unbounded delay
    • E. Hernández Existence results for partial neutral integrodifferential equations with unbounded delay Journal of Mathematical Analysis and Applications 292 1 2004 194 210
    • (2004) Journal of Mathematical Analysis and Applications , vol.292 , Issue.1 , pp. 194-210
    • Hernández, E.1
  • 17
    • 0344440026 scopus 로고    scopus 로고
    • Existence of solutions of second order neutral functional-differential equations
    • K. Balachandran, and S.M. Anthoni Existence of solutions of second order neutral functional-differential equations Tamkang J. Math. 30 4 1999 299 309
    • (1999) Tamkang J. Math. , vol.30 , Issue.4 , pp. 299-309
    • Balachandran, K.1    Anthoni, S.M.2
  • 18
    • 0035341767 scopus 로고    scopus 로고
    • Controllability of second-order semilinear neutral functional differential systems in Banach spaces
    • K. Balachandran, and S.M. Anthoni Controllability of second-order semilinear neutral functional differential systems in Banach spaces Computers Math. Applic. 41 10/11 2001 1223 1235
    • (2001) Computers Math. Applic. , vol.41 , Issue.1011 , pp. 1223-1235
    • Balachandran, K.1    Anthoni, S.M.2
  • 19
    • 0035891479 scopus 로고    scopus 로고
    • Existence results for impulsive multivalued semilinear neutral functional differential inclusions in Banach spaces
    • M. Benchohra, J. Henderson, and S.K. Ntouyas Existence results for impulsive multivalued semilinear neutral functional differential inclusions in Banach spaces J. Math. Anal. Appl. 263 2 2001 763 780
    • (2001) J. Math. Anal. Appl. , vol.263 , Issue.2 , pp. 763-780
    • Benchohra, M.1    Henderson, J.2    Ntouyas, S.K.3
  • 20
    • 85016108316 scopus 로고    scopus 로고
    • Controllability of second order semi-linear neutral functional differential inclusions in Banach spaces
    • R.K. George, D. Chalishajar, N. Dimplekumar, and A.K. Nandakumaran Controllability of second order semi-linear neutral functional differential inclusions in Banach spaces Mediterr. J. Math. 1 4 2004 463 477
    • (2004) Mediterr. J. Math. , vol.1 , Issue.4 , pp. 463-477
    • George, R.K.1    Chalishajar, D.2    Dimplekumar, N.3    Nandakumaran, A.K.4
  • 21
    • 26444530760 scopus 로고    scopus 로고
    • Existence results for second-order neutral functional differential and integrodifferential inclusions in Banach spaces
    • H.J. Lee, J. Park, and J.Y. Park Existence results for second-order neutral functional differential and integrodifferential inclusions in Banach spaces Electron. J. Differential Equations 96 2002
    • (2002) Electron. J. Differential Equations , vol.96
    • Lee, H.J.1    Park, J.2    Park, J.Y.3
  • 22
    • 0141515746 scopus 로고    scopus 로고
    • Controllability of second-order neutral functional differential inclusions in Banach spaces
    • J.Y. Park, Y.C. Kwun, and H.J. Lee Controllability of second-order neutral functional differential inclusions in Banach spaces J. Math. Anal. Appl. 285 1 2003 37 49
    • (2003) J. Math. Anal. Appl. , vol.285 , Issue.1 , pp. 37-49
    • Park, J.Y.1    Kwun, Y.C.2    Lee, H.J.3
  • 24
    • 34250278681 scopus 로고
    • Cosine families and abstract nonlinear second order differential equations
    • C.C. Travis, and G.F. Webb Cosine families and abstract nonlinear second order differential equations Acta Math. Acad. Sci. Hungaricae 32 1978 76 96
    • (1978) Acta Math. Acad. Sci. Hungaricae , vol.32 , pp. 76-96
    • Travis, C.C.1    Webb, G.F.2
  • 25
    • 0038624647 scopus 로고
    • On cosine operator functions and one parameter group of operators
    • J. Kisyński On cosine operator functions and one parameter group of operators Studia Math. 49 1972 93 105
    • (1972) Studia Math. , vol.49 , pp. 93-105
    • Kisyński, J.1
  • 26
  • 30
    • 34250511985 scopus 로고
    • A general theory of heat conduction with finite wave speeds
    • M.E. Gurtin, and A.C. Pipkin A general theory of heat conduction with finite wave speeds Arch. Rat. Mech. Anal. 31 2 1968 113 126
    • (1968) Arch. Rat. Mech. Anal. , vol.31 , Issue.2 , pp. 113-126
    • Gurtin, M.E.1    Pipkin, A.C.2
  • 31
    • 26444503848 scopus 로고    scopus 로고
    • A massera type criterion for a partial neutral functional differential equation
    • E. Hernández A massera type criterion for a partial neutral functional differential equation Electron. J. Diff. Eqns. 40 2002 1 17
    • (2002) Electron. J. Diff. Eqns. , vol.40 , pp. 1-17
    • Hernández, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.