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Volumn 50, Issue 10, 2009, Pages

Second-order neutral impulsive stochastic evolution equations with delay

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EID: 70350707385     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3251332     Document Type: Article
Times cited : (23)

References (25)
  • 1
    • 34250577382 scopus 로고
    • A generalization of a lemma of Bellman and its application to uniqueness problem of differential equations
    • 0001-5954,. 10.1007/BF02022967
    • Bihari, I., " A generalization of a lemma of Bellman and its application to uniqueness problem of differential equations.," Acta Math. Acad. Sci. Hung. 0001-5954 7, 71 (1956). 10.1007/BF02022967
    • (1956) Acta Math. Acad. Sci. Hung. , vol.7 , pp. 71
    • Bihari, I.1
  • 2
    • 0002091556 scopus 로고
    • Asymptotic exponential stability of stochastic partial differential equations with delay
    • 0090-9491,. 10.1080/17442509008833662
    • Caraballo, T., " Asymptotic exponential stability of stochastic partial differential equations with delay.," Stochastics 0090-9491 33, 27 (1990). 10.1080/17442509008833662
    • (1990) Stochastics , vol.33 , pp. 27
    • Caraballo, T.1
  • 3
    • 0033240583 scopus 로고    scopus 로고
    • Exponential stability of mild solutions of stochastic partial differential equations with delays
    • 1544-9661,. 10.1080/07362999908809633
    • Caraballo, T. and Liu, K., " Exponential stability of mild solutions of stochastic partial differential equations with delays.," Stoch. Anal. Appl. 1544-9661 17, 743 (1999). 10.1080/07362999908809633
    • (1999) Stoch. Anal. Appl. , vol.17 , pp. 743
    • Caraballo, T.1    Liu, K.2
  • 5
    • 0003369059 scopus 로고
    • Second order linear differential equations in banach spaces
    • Elsevier Science, Amsterdam / North Holland, Amsterdam
    • Fattorini, H. O., Second Order Linear Differential Equations in Banach Spaces, North Holland Mathematics Studies Vol. 108 (Elsevier Science, Amsterdam / North Holland, Amsterdam, 1985).
    • (1985) North Holland Mathematics Studies , vol.108
    • Fattorini, H.O.1
  • 6
    • 0033441904 scopus 로고    scopus 로고
    • Exponential stability in mean-square of parabolic quasilinear stochastic delay evolution equations
    • 1544-9661,. 10.1080/07362999908809612
    • Govindan, T. E., " Exponential stability in mean-square of parabolic quasilinear stochastic delay evolution equations.," Stoch. Anal. Appl. 1544-9661 17, 443 (1999). 10.1080/07362999908809612
    • (1999) Stoch. Anal. Appl. , vol.17 , pp. 443
    • Govindan, T.E.1
  • 11
    • 30444450280 scopus 로고    scopus 로고
    • Existence and uniqueness results for neutral SDEs in Hilbert spaces
    • DOI 10.1080/07362990500397582, PII XX3757280235127
    • Mahmudov, N. I., " Existence and uniqueness results for neutral SDEs in Hilbert spaces.," Stoch. Anal. Appl. 1544-9661 24, 79 (2006). 10.1080/07362990500397582 (Pubitemid 43071152)
    • (2006) Stochastic Analysis and Applications , vol.24 , Issue.1 , pp. 79-95
    • Mahmudov, N.I.1
  • 12
    • 32944474807 scopus 로고    scopus 로고
    • Abstract second-order damped McKean-Vlasov stochastic evolution equations
    • DOI 10.1080/07362990500522247, PII X7073738407
    • Mahmudov, N. I. and McKibben, M. A., " Abstract second-order damped McKean-Vlasov stochastic evolution equations.," Stoch. Anal. Appl. 1544-9661 24, 303 (2006). 10.1080/07362990500522247 (Pubitemid 43256562)
    • (2006) Stochastic Analysis and Applications , vol.24 , Issue.2 , pp. 303-328
    • Mahmudov, N.I.1    McKibben, M.A.2
  • 14
    • 32944475958 scopus 로고    scopus 로고
    • Second-order damped functional stochastic evolution equations in Hilbert space
    • 1056-2176
    • McKibben, M. A., " Second-order damped functional stochastic evolution equations in Hilbert space.," Dyn. Syst. Appl. 1056-2176 12, 467 (2003).
    • (2003) Dyn. Syst. Appl. , vol.12 , pp. 467
    • McKibben, M.A.1
  • 15
    • 30444447818 scopus 로고    scopus 로고
    • Second-order neutral stochastic evolution equations with heredity
    • 1048-9533,. 10.1155/S1048953304309020
    • McKibben, M. A., " Second-order neutral stochastic evolution equations with heredity.," J. Appl. Math. Stoch. Anal. 1048-9533 2004, 177 (2004). 10.1155/S1048953304309020
    • (2004) J. Appl. Math. Stoch. Anal. , vol.2004 , pp. 177
    • McKibben, M.A.1
  • 16
    • 33845894182 scopus 로고    scopus 로고
    • New comparison results for impulsive integro-differential equations and applications
    • 0022-247X,. 10.1016/j.jmaa.2006.06.029
    • Nieto, J. J. and Rodriguez-Lopez, R., " New comparison results for impulsive integro-differential equations and applications.," J. Math. Anal. Appl. 0022-247X 328, 1343 (2007). 10.1016/j.jmaa.2006.06.029
    • (2007) J. Math. Anal. Appl. , vol.328 , pp. 1343
    • Nieto, J.J.1    Rodriguez-Lopez, R.2
  • 17
    • 61649091341 scopus 로고    scopus 로고
    • Adapted solutions and continuous dependence for nonlinear stochastic differential equations with terminal condition
    • Qin, Y., Xia, N., and Gao, H., " Adapted solutions and continuous dependence for nonlinear stochastic differential equations with terminal condition.," Chin. J. Appl. Probab. Statist. 23, 273 (2007).
    • (2007) Chin. J. Appl. Probab. Statist. , vol.23 , pp. 273
    • Qin, Y.1    Xia, N.2    Gao, H.3
  • 18
    • 47849118174 scopus 로고    scopus 로고
    • Remarks on the existence and uniqueness of the solutions to stochastic functional differential equations with infinite delay
    • 0377-0427,. 10.1016/j.cam.2007.08.022
    • Ren, Y., Lu, S., and Xia, N., " Remarks on the existence and uniqueness of the solutions to stochastic functional differential equations with infinite delay.," J. Comput. Appl. Math. 0377-0427 220, 364 (2008). 10.1016/j.cam.2007.08.022
    • (2008) J. Comput. Appl. Math. , vol.220 , pp. 364
    • Ren, Y.1    Lu, S.2    Xia, N.3
  • 19
    • 61649121491 scopus 로고    scopus 로고
    • Existence, uniqueness and stability of the solutions to neutral stochastic functional differential equations with infinite delay
    • 0096-3003,. 10.1016/j.amc.2008.11.009
    • Ren, Y. and Xia, N., " Existence, uniqueness and stability of the solutions to neutral stochastic functional differential equations with infinite delay.," Appl. Math. Comput. 0096-3003 210, 72 (2009). 10.1016/j.amc.2008. 11.009
    • (2009) Appl. Math. Comput. , vol.210 , pp. 72
    • Ren, Y.1    Xia, N.2
  • 20
    • 67649224129 scopus 로고    scopus 로고
    • A note on the existence and uniqueness of the solution to neutral stochastic functional differential equations with infinite delay
    • 0096-3003,. 10.1016/j.amc.2009.04.013
    • Ren, Y. and Xia, N., " A note on the existence and uniqueness of the solution to neutral stochastic functional differential equations with infinite delay.," Appl. Math. Comput. 0096-3003 214, 457 (2009). 10.1016/j.amc.2009.04.013
    • (2009) Appl. Math. Comput. , vol.214 , pp. 457
    • Ren, Y.1    Xia, N.2
  • 21
    • 69749099665 scopus 로고    scopus 로고
    • A note on the neutral stochastic functional differential equations with infinite delay and Poisson jumps in an abstract space
    • 0022-2488,. 10.1063/1.3202822
    • Ren, Y. and Chen, L., " A note on the neutral stochastic functional differential equations with infinite delay and Poisson jumps in an abstract space.," J. Math. Phys. 0022-2488 50, 082704 (2009). 10.1063/1.3202822
    • (2009) J. Math. Phys. , vol.50 , pp. 082704
    • Ren, Y.1    Chen, L.2
  • 23
    • 34250278681 scopus 로고
    • Cosine families and abstract nonlinear second order differential equations
    • 0001-5954,. 10.1007/BF01902205
    • Travis, C. C. and Webb, G. F., " Cosine families and abstract nonlinear second order differential equations.," Acta Math. Acad. Sci. Hung. 0001-5954 32, 75 (1978). 10.1007/BF01902205
    • (1978) Acta Math. Acad. Sci. Hung. , vol.32 , pp. 75
    • Travis, C.C.1    Webb, G.F.2
  • 25
    • 40249096075 scopus 로고    scopus 로고
    • Exponential stability of non-autonomous stochastic partial differential equations with finite memory
    • 0167-7152,. 10.1016/j.spl.2007.08.003
    • Wan, L. and Duan, J., " Exponential stability of non-autonomous stochastic partial differential equations with finite memory.," Stat. Probab. Lett. 0167-7152 78, 490 (2008). 10.1016/j.spl.2007.08.003
    • (2008) Stat. Probab. Lett. , vol.78 , pp. 490
    • Wan, L.1    Duan, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.