메뉴 건너뛰기




Volumn 348, Issue 1, 2008, Pages 480-486

Controllability of nonlinear integro-differential third order dispersion system

Author keywords

Controllability; Integro differential dispersion system; Korteweg de Vries equation; Schaefer fixed point theorem

Indexed keywords


EID: 50549090326     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2008.07.047     Document Type: Article
Times cited : (29)

References (16)
  • 1
    • 0035253225 scopus 로고    scopus 로고
    • Controllability of integrodifferential systems in Banach spaces
    • Balachandran K., and Sakthivel R. Controllability of integrodifferential systems in Banach spaces. J. Comput. Appl. Math. 118 (2001) 63-71
    • (2001) J. Comput. Appl. Math. , vol.118 , pp. 63-71
    • Balachandran, K.1    Sakthivel, R.2
  • 2
    • 0035869874 scopus 로고    scopus 로고
    • Controllability of Functional Semilinear Integrodifferential Systems in Banach Spaces
    • Balachandran K., and Sakthivel R. Controllability of Functional Semilinear Integrodifferential Systems in Banach Spaces. J. Math. Anal. Appl. 225 (2001) 447-457
    • (2001) J. Math. Anal. Appl. , vol.225 , pp. 447-457
    • Balachandran, K.1    Sakthivel, R.2
  • 3
    • 33751001605 scopus 로고    scopus 로고
    • Exact controllability of Hammerstein type integral equations with applications
    • Chalishajar D.N., and George R.K. Exact controllability of Hammerstein type integral equations with applications. Electron. J. Differential Equations 142 (2006) 1-15
    • (2006) Electron. J. Differential Equations , vol.142 , pp. 1-15
    • Chalishajar, D.N.1    George, R.K.2
  • 4
    • 34247382116 scopus 로고    scopus 로고
    • Exact controllability of the third order nonlinear dispersion equation
    • Chalishajar D.N., George R.K., and Nandakumaran A.K. Exact controllability of the third order nonlinear dispersion equation. J. Math. Anal. Appl. 332 (2007) 1028-1044
    • (2007) J. Math. Anal. Appl. , vol.332 , pp. 1028-1044
    • Chalishajar, D.N.1    George, R.K.2    Nandakumaran, A.K.3
  • 5
    • 0003368192 scopus 로고
    • On controllability of certain systems simulating a fluid flow in flow control
    • Gulzburger M.D. (Ed), Springer-Verlag, New York
    • Fursikov A.V., and Imanuvilov O.Y. On controllability of certain systems simulating a fluid flow in flow control. In: Gulzburger M.D. (Ed). IMA Vol. Math. Appl. vol. 68 (1995), Springer-Verlag, New York 149-184
    • (1995) IMA Vol. Math. Appl. , vol.68 , pp. 149-184
    • Fursikov, A.V.1    Imanuvilov, O.Y.2
  • 7
    • 0001524186 scopus 로고
    • On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves
    • Korteweg D.J., and Devres G. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves. Philos. Mag. 39 (1895) 422-433
    • (1895) Philos. Mag. , vol.39 , pp. 422-433
    • Korteweg, D.J.1    Devres, G.2
  • 8
    • 0026158019 scopus 로고
    • Invariance of approximately reachable set under nonlinear perturbation
    • Naito K., and Seidman T.I. Invariance of approximately reachable set under nonlinear perturbation. SIAM J. Control Optim. 29 (1991) 731-750
    • (1991) SIAM J. Control Optim. , vol.29 , pp. 731-750
    • Naito, K.1    Seidman, T.I.2
  • 11
    • 21444446596 scopus 로고    scopus 로고
    • Exact controllability and stabilizability of the Korteweg-de Vries equation
    • Russsell D.L. Exact controllability and stabilizability of the Korteweg-de Vries equation. Trans. Amer. Math. Soc. 348 (1996) 3643-3672
    • (1996) Trans. Amer. Math. Soc. , vol.348 , pp. 3643-3672
    • Russsell, D.L.1
  • 12
    • 0027594486 scopus 로고
    • Controllability and stabilizability of the third-order linear dispersion equation on a periodic domain
    • Russell D.L., and Zhang B.Y. Controllability and stabilizability of the third-order linear dispersion equation on a periodic domain. SIAM J. Control Optim. 31 (1993) 659-676
    • (1993) SIAM J. Control Optim. , vol.31 , pp. 659-676
    • Russell, D.L.1    Zhang, B.Y.2
  • 13
    • 34250953863 scopus 로고
    • Über die Methode der a priori Schranken
    • Schaefer H. Über die Methode der a priori Schranken. Math. Ann. 129 (1955) 415-416
    • (1955) Math. Ann. , vol.129 , pp. 415-416
    • Schaefer, H.1
  • 14
    • 0025485738 scopus 로고
    • Controllability for parabolic equations with uniformly bounded non-linear terms
    • Yamamoto M., and Park J.Y. Controllability for parabolic equations with uniformly bounded non-linear terms. J. Optim. Theory Appl. 66 (1990) 515-532
    • (1990) J. Optim. Theory Appl. , vol.66 , pp. 515-532
    • Yamamoto, M.1    Park, J.Y.2
  • 15
    • 0001675968 scopus 로고    scopus 로고
    • Exact boundary controllability of the KDV Equations
    • Zhang B.Y. Exact boundary controllability of the KDV Equations. SIAM J. Control Optim. 37 2 (1999) 523-565
    • (1999) SIAM J. Control Optim. , vol.37 , Issue.2 , pp. 523-565
    • Zhang, B.Y.1
  • 16
    • 0001774896 scopus 로고
    • A synergetic approach to problem of nonlinear dispersive wave propogation and interaction
    • Ames W. (Ed), Academic Press, New York
    • Zabusky N.Z. A synergetic approach to problem of nonlinear dispersive wave propogation and interaction. In: Ames W. (Ed). Proc. Nonlinear Partial Differential Equations (1967), Academic Press, New York 223-258
    • (1967) Proc. Nonlinear Partial Differential Equations , pp. 223-258
    • Zabusky, N.Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.