메뉴 건너뛰기




Volumn 110, Issue 2, 2010, Pages 627-638

The existence and uniqueness of the solution for neutral stochastic functional differential equations with infinite delay in abstract space

Author keywords

Existence; Infinite delay; Neutral stochastic functional differential equations; Phase space; Uniqueness

Indexed keywords

PHASE SPACE METHODS; STOCHASTIC SYSTEMS;

EID: 84880907978     PISSN: 01678019     EISSN: 15729036     Source Type: Journal    
DOI: 10.1007/s10440-009-9465-x     Document Type: Article
Times cited : (13)

References (21)
  • 1
    • 0001098214 scopus 로고
    • On determining phase space for functional differential equations
    • Atkinson, F., Haddock, J.: On determining phase space for functional differential equations. Funkcial. Ekvac. 31, 331-347 (1988)
    • (1988) Funkcial. Ekvac. , vol.31 , pp. 331-347
    • Atkinson, F.1    Haddock, J.2
  • 2
    • 0000346338 scopus 로고
    • Nonlinear oscillations in a distributed network
    • Brayton, R.: Nonlinear oscillations in a distributed network. Q. Appl. Math. 4, 289-301 (1976)
    • (1976) Q. Appl. Math. , vol.4 , pp. 289-301
    • Brayton, R.1
  • 3
    • 0000522482 scopus 로고
    • Equipresence and constitutive equations for rigid heat conductors
    • Coleman, B., Gurtin, M.: Equipresence and constitutive equations for rigid heat conductors. Z. Angew. Math. Phys. 18, 199-208 (1967)
    • (1967) Z. Angew. Math. Phys. , vol.18 , pp. 199-208
    • Coleman, B.1    Gurtin, M.2
  • 4
    • 38249028871 scopus 로고
    • Wellposedness and wave propagation for a class of integrodifferential equations in banach space
    • Desch, W., Grimmer, R., Schappacher, W.: Wellposedness and wave propagation for a class of integrodifferential equations in Banach space. J. Differ. Equ. 74, 39-411 (1988)
    • (1988) J. Differ. Equ. , vol.74 , pp. 39-411
    • Desch, W.1    Grimmer, R.2    Schappacher, W.3
  • 5
    • 34250511985 scopus 로고
    • A general theory of heat conduction with finite wave speeds
    • Gurtin,M., Pipkin, A.: A general theory of heat conduction with finite wave speeds. Arch. Ration. Mech. Anal. 31, 113-126 (1968)
    • (1968) Arch. Ration. Mech. Anal. , vol.31 , pp. 113-126
    • Gurtin, M.1    Pipkin, A.2
  • 6
    • 0004407181 scopus 로고
    • Precompactness and convergence on norm of positive orbits in a certain fading memory space
    • Haddock, J., Hornor, W.E.: Precompactness and convergence on norm of positive orbits in a certain fading memory space. Funkcial. Ekvac. 31, 349-361 (1988)
    • (1988) Funkcial. Ekvac. , vol.31 , pp. 349-361
    • Haddock, J.1    Hornor, W.E.2
  • 7
    • 0002513583 scopus 로고
    • Phase spaces for retarded equations with infinite delay
    • Hale, J., Kato, J.: Phase spaces for retarded equations with infinite delay. Funkcial. Ekvac. 21, 11-41 (1978)
    • (1978) Funkcial. Ekvac. , vol.21 , pp. 11-41
    • Hale, J.1    Kato, J.2
  • 9
    • 0002513581 scopus 로고
    • Stability problem in functional differential equations with infinite delay
    • Kato, J.: Stability problem in functional differential equations with infinite delay. Funkcial. Ekvac. 21, 63-80 (1978)
    • (1978) Funkcial. Ekvac. , vol.21 , pp. 63-80
    • Kato, J.1
  • 13
    • 0001293981 scopus 로고
    • Global stability for infinite delay lotka-volterra type systems
    • Kuang, Y., Smith, H.: Global stability for infinite delay Lotka-Volterra type systems. J. Differ. Equ. 103, 221-246 (1993)
    • (1993) J. Differ. Equ. , vol.103 , pp. 221-246
    • Kuang, Y.1    Smith, H.2
  • 14
    • 0037334191 scopus 로고    scopus 로고
    • Boundary value problems on half-line for functional differential equations with infinite delay in a banach space
    • Liu, Y.: Boundary value problems on half-line for functional differential equations with infinite delay in a Banach space. Nonlinear Anal. 52, 1695-1708 (2003)
    • (2003) Nonlinear Anal. , vol.52 , pp. 1695-1708
    • Liu, Y.1
  • 16
    • 0018031320 scopus 로고
    • An integrodifferential equation for rigid heat conductions with memory
    • Miller, R.: An integrodifferential equation for rigid heat conductions with memory. J. Math. Anal. Appl. 66, 313-332 (1978)
    • (1978) J. Math. Anal. Appl. , vol.66 , pp. 313-332
    • Miller, R.1
  • 18
    • 30644456966 scopus 로고
    • Some considerations on the fundamental theorems for functional differential equations with infinite delay
    • Sawano, K.: Some considerations on the fundamental theorems for functional differential equations with infinite delay. Funkcial. Ekvac. 25, 97-104 (1982)
    • (1982) Funkcial. Ekvac. , vol.25 , pp. 97-104
    • Sawano, K.1
  • 19
    • 84883258321 scopus 로고
    • On caratheodory conditions for functional differential equations with infinite delays
    • Seifert, G.: On Caratheodory conditions for functional differential equations with infinite delays. Rocky Mt. J. Math. 12, 615-619 (1982)
    • (1982) Rocky Mt. J. Math. , vol.12 , pp. 615-619
    • Seifert, G.1
  • 20
    • 33947105991 scopus 로고    scopus 로고
    • The existence and uniqueness of the solution for stochastic functional differential equations with infinite delay
    • Wei, F., Wang, K.: The existence and uniqueness of the solution for stochastic functional differential equations with infinite delay. J. Math. Anal. Appl. 331, 516-531 (2007)
    • (2007) J. Math. Anal. Appl. , vol.331 , pp. 516-531
    • Wei, F.1    Wang, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.