메뉴 건너뛰기




Volumn 243, Issue 1, 2000, Pages 13-31

A Uniqueness Result for an Optimal Control Problem on a Diffusive Elliptic Volterra-Lotka Type Equation

Author keywords

Existence; Logistic elliptic equations; Lower upper solutions; Optimal control; Uniqueness

Indexed keywords


EID: 0007133673     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1999.6638     Document Type: Article
Times cited : (10)

References (12)
  • 1
    • 0001847374 scopus 로고
    • Some Applications of the Method of Super and Subsolutions
    • Springer-Verlag, Berlin/New York
    • H. Berestycki and P. L. Lions, "Some Applications of the Method of Super and Subsolutions," Lecture Notes in Mathematics, Vol. 782, pp. 16-42, Springer-Verlag, Berlin/New York, 1980.
    • (1980) Lecture Notes in Mathematics , vol.782 , pp. 16-42
    • Berestycki, H.1    Lions, P.L.2
  • 2
    • 80052954107 scopus 로고
    • Bifurcation of steady-state solutions in predator-prey and competition systems
    • J. Blat and K. J. Brown, Bifurcation of steady-state solutions in predator-prey and competition systems, Proc. Roy. Soc. Edinburgh Sect. A 97 (1984), 21-34.
    • (1984) Proc. Roy. Soc. Edinburgh Sect. A , vol.97 , pp. 21-34
    • Blat, J.1    Brown, K.J.2
  • 3
    • 0032123770 scopus 로고    scopus 로고
    • Study of a nonlinear optimal control problem for diffusive nonlinear elliptic equations of a logistic type
    • A. Cañada, J. L. Gãmez, and J. A. Montero, Study of a nonlinear optimal control problem for diffusive nonlinear elliptic equations of a logistic type, SIAM J. Control Optim. 36, No. 4 (1998), 1171-1189.
    • (1998) SIAM J. Control Optim. , vol.36 , Issue.4 , pp. 1171-1189
    • Cañada, A.1    Gãmez, J.L.2    Montero, J.A.3
  • 4
    • 0347510071 scopus 로고    scopus 로고
    • Uniqueness of the optimal control for a Lotka-Volterra control problem with a large crowding effect
    • J. L. Gámez and J. A. Montero, Uniqueness of the optimal control for a Lotka-Volterra control problem with a large crowding effect, ESAIM Control Optim. Calculus Variations 2 (1997), pp. 1-12, available at url:http://www.emath.fr/cocv/.
    • (1997) ESAIM Control Optim. Calculus Variations , vol.2 , pp. 1-12
    • Gámez, J.L.1    Montero, J.A.2
  • 6
    • 84988172981 scopus 로고
    • Periodic optimal control for parabolic Volterra-Lotka equations
    • H. He, A. Leung, and S. Stojanovic, Periodic optimal control for parabolic Volterra-Lotka equations, Math. Methods Appl. Sci. 18 (1995), 127-146.
    • (1995) Math. Methods Appl. Sci. , vol.18 , pp. 127-146
    • He, H.1    Leung, A.2    Stojanovic, S.3
  • 8
    • 0001510210 scopus 로고
    • Application of distributed parameter control model in wildlife damage management
    • S. M. Lenhart and M. G. Bhat, Application of distributed parameter control model in wildlife damage management, Math. Models Meth. Appl. Sci. 2, No. 4 (1992), 423-439.
    • (1992) Math. Models Meth. Appl. Sci. , vol.2 , Issue.4 , pp. 423-439
    • Lenhart, S.M.1    Bhat, M.G.2
  • 10
    • 38249003944 scopus 로고
    • Optimal control for elliptic Volterra-Lotka equations
    • A. Leung and S. Stojanovic, Optimal control for elliptic Volterra-Lotka equations, J. Math. Anal. Appl. 173 (1993), 603-619.
    • (1993) J. Math. Anal. Appl. , vol.173 , pp. 603-619
    • Leung, A.1    Stojanovic, S.2
  • 11
    • 84972542454 scopus 로고
    • Positive solutions to general elliptic competition models
    • L. Li and R. Logan, Positive solutions to general elliptic competition models, Differential Integral Equations 4 (1991), 817-834.
    • (1991) Differential Integral Equations , vol.4 , pp. 817-834
    • Li, L.1    Logan, R.2
  • 12
    • 0001314482 scopus 로고
    • Monotone methods in nonlinear elliptic and parabolic boundary value problems
    • D. H. Sattinger, Monotone methods in nonlinear elliptic and parabolic boundary value problems, Indiana Univ. Math. J. 21, No. 11 (1972), 979-1000.
    • (1972) Indiana Univ. Math. J. , vol.21 , Issue.11 , pp. 979-1000
    • Sattinger, D.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.