메뉴 건너뛰기




Volumn 14, Issue 5, 2010, Pages 1777-1797

Approximate controllability of nonlinear deterministic and stochastic systems with unbounded delay

Author keywords

Approximate controllability; Impulsive differential equations; Neutral equations; Resolvent operators; Stochastic differential equations

Indexed keywords


EID: 77958556999     PISSN: 10275487     EISSN: None     Source Type: Journal    
DOI: 10.11650/twjm/1500406016     Document Type: Article
Times cited : (74)

References (42)
  • 1
    • 33748907408 scopus 로고    scopus 로고
    • Controllability for neutral stochastic functional differential inclusions with infinite delay in abstract space
    • P. Balasubramaniam and S. K. Ntouyas, Controllability for neutral stochastic functional differential inclusions with infinite delay in abstract space, Journal of Mathematical Analysis and Applications, 324 (2006), 161-176.
    • (2006) Journal of Mathematical Analysis and Applications , vol.324 , pp. 161-176
    • Balasubramaniam, P.1    Ntouyas, S.K.2
  • 3
    • 14044253446 scopus 로고    scopus 로고
    • Controllability results for functional semilinear differential inclusions in Frechet spaces
    • M. Benchohra and A. Ouahab, Controllability results for functional semilinear differential inclusions in Frechet spaces, Nonlinear Analysis, 61 (2005), 405-423.
    • (2005) Nonlinear Analysis , vol.61 , pp. 405-423
    • Benchohra, M.1    Ouahab, A.2
  • 5
    • 33947161951 scopus 로고    scopus 로고
    • Controllability of impulsive functional differential systems with infinite delay in Banach spaces
    • Y. K. Chang, Controllability of impulsive functional differential systems with infinite delay in Banach spaces, Chaos, Solitons & Fractals, 33 (2007), 1601-1609.
    • (2007) Chaos, Solitons & Fractals , vol.33 , pp. 1601-1609
    • Chang, Y.K.1
  • 6
    • 34047270090 scopus 로고    scopus 로고
    • Controllability of evolution differential inclusions in Banach spaces
    • Y. K. Chang, W. T. Li and J. J. Nieto, Controllability of evolution differential inclusions in Banach spaces, Nonlinear Analysis, 67 (2007), 623-632.
    • (2007) Nonlinear Analysis , vol.67 , pp. 623-632
    • Chang, Y.K.1    Li, W.T.2    Nieto, J.J.3
  • 7
    • 43049133281 scopus 로고    scopus 로고
    • Controllability of mixed Volterra-Fredholm-type integro-differential inclusions in Banach spaces
    • Y. K. Chang and D. N. Chalishajar, Controllability of mixed Volterra-Fredholm-type integro-differential inclusions in Banach spaces, Journal of the Franklin Institute, 345 (2008), 480-486.
    • (2008) Journal of The Franklin Institute , vol.345 , pp. 480-486
    • Chang, Y.K.1    Chalishajar, D.N.2
  • 8
    • 33846578595 scopus 로고    scopus 로고
    • Controllabilityof mixed Volterra Fredholm-type integro-differential systems in Banach space
    • D. N. Chalishajar, Controllabilityof mixed Volterra Fredholm-type integro-differential systems in Banach space, Journal of the Franklin Institute, 344 (2007), 12-21.
    • (2007) Journal of The Franklin Institute , vol.344 , pp. 12-21
    • Chalishajar, D.N.1
  • 9
    • 50549090326 scopus 로고    scopus 로고
    • Controllability of nonlinear integro-differential third order dispersion system
    • D. N. Chalishajar, Controllability of nonlinear integro-differential third order dispersion system, Journal of Mathematical Analysis and Applications, 348 (2008), 480-486.
    • (2008) Journal of Mathematical Analysis and Applications , vol.348 , pp. 480-486
    • Chalishajar, D.N.1
  • 11
    • 0037107070 scopus 로고    scopus 로고
    • Approximate controllability of semilinear functional equations in Hilbert spaces
    • J. P. Dauer and N. I. Mahmudov, Approximate controllability of semilinear functional equations in Hilbert spaces, Journal of Mathematical Analysis and Applications, 273 (2002), 310-327.
    • (2002) Journal of Mathematical Analysis and Applications , vol.273 , pp. 310-327
    • Dauer, J.P.1    Mahmudov, N.I.2
  • 12
    • 1342263802 scopus 로고    scopus 로고
    • Controllability of stochastic semilinear functional differential equations in Hilbert spaces
    • J. P. Dauer and N. I. Mahmudov, Controllability of stochastic semilinear functional differential equations in Hilbert spaces, Journal of Mathematical Analysis and Applications, 290 (2004), 373-394.
    • (2004) Journal of Mathematical Analysis and Applications , vol.290 , pp. 373-394
    • Dauer, J.P.1    Mahmudov, N.I.2
  • 14
    • 33344467513 scopus 로고    scopus 로고
    • Controllability of semilinear differential equations and inclusions via semigroup theory in Banach spaces
    • L. Gorniewicz, S. K. Ntouyas and D. O'Regan, Controllability of semilinear differential equations and inclusions via semigroup theory in Banach spaces, Reports on Mathematical Physics 56 (2005), 437-470.
    • (2005) Reports On Mathematical Physics , vol.56 , pp. 437-470
    • Gorniewicz, L.1    Ntouyas, S.K.2    O'Regan, D.3
  • 15
    • 33947202573 scopus 로고    scopus 로고
    • Existence and Controllability Results for First-and Second-Order Functional Semilinear Differential Inclusions with Nonlocal Conditions
    • L. Gorniewicz, S. K. Ntouyas and D. O. Regan, Existence and Controllability Results for First-and Second-Order Functional Semilinear Differential Inclusions with Nonlocal Conditions, Numerical Functional Analysis and Optimization, 28 (2007), 53-82.
    • (2007) Numerical Functional Analysis and Optimization , vol.28 , pp. 53-82
    • Gorniewicz, L.1    Ntouyas, S.K.2    Regan, D.O.3
  • 16
    • 27144455760 scopus 로고    scopus 로고
    • Nonlinear impulsive system of fed-batch culture in fermentative production and its properties
    • C. Gao, K. Li, E. Feng and Z. Xiu, Nonlinear impulsive system of fed-batch culture in fermentative production and its properties, Chaos Solitons & Fractals, 28 (2006), 271-277.
    • (2006) Chaos Solitons & Fractals , vol.28 , pp. 271-277
    • Gao, C.1    Li, K.2    Feng, E.3    Xiu, Z.4
  • 17
    • 33746833233 scopus 로고    scopus 로고
    • Analysis of a delayed epidemic model with pulse vaccination and saturation incidence
    • S. Gao, L. Chen, J. J. Nieto and A. Torres, Analysis of a delayed epidemic model with pulse vaccination and saturation incidence, Vaccine, 24 (2006), 6037-6045.
    • (2006) Vaccine , vol.24 , pp. 6037-6045
    • Gao, S.1    Chen, L.2    Nieto, J.J.3    Torres, A.4
  • 19
    • 77949280530 scopus 로고
    • Series expansions for resolvents of Volterra integro-differential equations in Banach space
    • R. Grimmer and F. Kappel, Series expansions for resolvents of Volterra integro-differential equations in Banach space, SIAM Journal on Mathematical Analysis, 15 (1984), 595-604.
    • (1984) SIAM Journal On Mathematical Analysis , vol.15 , pp. 595-604
    • Grimmer, R.1    Kappel, F.2
  • 21
    • 84968513023 scopus 로고
    • Resolvent operators for integral equations in a Banach space
    • R. Grimmer, Resolvent operators for integral equations in a Banach space, Transactions of the American Mathematical Society, 273 (1982), 333-349.
    • (1982) Transactions of The American Mathematical Society , vol.273 , pp. 333-349
    • Grimmer, R.1
  • 23
    • 0038246338 scopus 로고    scopus 로고
    • Fractional white noise calculus and applications to finance, Infinite Dimensional Analysis
    • Y. Hu and B. Oksendal, Fractional white noise calculus and applications to finance, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 6 (2003), 1-32.
    • (2003) Quantum Probability and Related Topics , vol.6 , pp. 1-32
    • Hu, Y.1    Oksendal, B.2
  • 24
    • 64849111140 scopus 로고    scopus 로고
    • Existence results for partial neutral integro-differential equation with unbounded delay
    • E. M. Hernandez, D. Santos and P. C. Jose, Existence results for partial neutral integro-differential equation with unbounded delay, Applicable Analysis, 86 (2007), 223-237.
    • (2007) Applicable Analysis , vol.86 , pp. 223-237
    • Hernandez, E.M.1    Santos, D.2    Jose, P.C.3
  • 28
    • 33750332425 scopus 로고    scopus 로고
    • Impulsive periodic boundary value problems of first-order differential equations
    • J. Li, J. J. Nieto and J. Shen, Impulsive periodic boundary value problems of first-order differential equations, Journal of Mathematical Analysis and Applications, 325 (2007), 226-236.
    • (2007) Journal of Mathematical Analysis and Applications , vol.325 , pp. 226-236
    • Li, J.1    Nieto, J.J.2    Shen, J.3
  • 29
    • 4944255103 scopus 로고    scopus 로고
    • Approximate controllability of semilinear deterministic and stochastic evolution equations in abstract spaces
    • N. I. Mahmudov, Approximate controllability of semilinear deterministic and stochastic evolution equations in abstract spaces, SIAM Journal on Control and Optimization, 42 (2003), 1604-1622.
    • (2003) SIAM Journal On Control and Optimization , vol.42 , pp. 1604-1622
    • Mahmudov, N.I.1
  • 30
    • 0346903407 scopus 로고    scopus 로고
    • Controllability of semilinear stochastic systems in Hilbert spaces
    • N. I. Mahmudov, Controllability of semilinear stochastic systems in Hilbert spaces, Journal of Mathematical Analysis and Applications, 288 (2003), 197-211.
    • (2003) Journal of Mathematical Analysis and Applications , vol.288 , pp. 197-211
    • Mahmudov, N.I.1
  • 31
    • 36249027143 scopus 로고    scopus 로고
    • Approximate controllability of evolution systems with nonlocal conditions
    • N. I. Mahmudov, Approximate controllability of evolution systems with nonlocal conditions, Nonlinear Analysis, 68 (2008), 536-546.
    • (2008) Nonlinear Analysis , vol.68 , pp. 536-546
    • Mahmudov, N.I.1
  • 36
    • 35649013668 scopus 로고    scopus 로고
    • Approximate Controllability of nonlinear impulsive differential systems
    • R. Sakthivel, N. I. Mahmudov and J. H. Kim, Approximate Controllability of nonlinear impulsive differential systems, Reports on Mathematical Physics, 60 (2007), 85-96.
    • (2007) Reports On Mathematical Physics , vol.60 , pp. 85-96
    • Sakthivel, R.1    Mahmudov, N.I.2    Kim, J.H.3
  • 37
    • 0036483349 scopus 로고    scopus 로고
    • Density-dependent birth rate, birth pulses and their population dynamic consequences
    • S. Tang and L. Chen, Density-dependent birth rate, birth pulses and their population dynamic consequences, Journal of Mathematical Biology, 44 (2002), 185-199.
    • (2002) Journal of Mathematical Biology , vol.44 , pp. 185-199
    • Tang, S.1    Chen, L.2
  • 38
    • 33846337529 scopus 로고    scopus 로고
    • The dynamic complexity of a three-species Beddington-type food chain with impulsive control strategy
    • W. Wang, H. Wang and Z. Li, The dynamic complexity of a three-species Beddington-type food chain with impulsive control strategy, Chaos, Solitons & Fractals, 32 (2007), 1772-1785.
    • (2007) Chaos, Solitons & Fractals , vol.32 , pp. 1772-1785
    • Wang, W.1    Wang, H.2    Li, Z.3
  • 40
    • 77958588839 scopus 로고    scopus 로고
    • A delayed epidemic model with stage-structure and pulses for pest management strategy
    • H. Zhang, L. Chen and J. Nieto, A delayed epidemic model with stage-structure and pulses for pest management strategy, Nonlinear Anal, Real World Problems, (to appear).
    • Nonlinear Anal, Real World Problems
    • Zhang, H.1    Chen, L.2    Nieto, J.3
  • 41
    • 0013465903 scopus 로고    scopus 로고
    • Dynamic impulse systems
    • Kluwer Academic Publishers Group, Dordrecht
    • S. T. Zavalishchin and A. N. Sesekin, Dynamic impulse systems, Theory and applications, Kluwer Academic Publishers Group, Dordrecht, 1997.
    • (1997) Theory and Applications
    • Zavalishchin, S.T.1    Sesekin, A.N.2
  • 42
    • 0020781648 scopus 로고
    • Approximate controllability for a class of semilinear abstract equations
    • H. X. Zhou, Approximate controllability for a class of semilinear abstract equations, SIAM Journal on Control and Optimization, 21, (1983), 551-565.
    • (1983) SIAM Journal On Control and Optimization , vol.21 , pp. 551-565
    • Zhou, H.X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.