Approximate controllability for a class of abstract second-order functional evolution equations

被引：17
|
作者：
McKibben, MA [1 ]
机构：
[1] Goucher Coll, Baltimore, MD 21204 USA
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2003年 / 117卷 / 02期
关键词：
approximate controllability; evolution equations; cosine family; second-order equations;
D O I：
10.1023/A:1023639908792
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
Results providing sufficient conditions for the approximate controllability of a class of second-order abstract functional evolution equations governed by the generator of a strongly continuous cosine family of linear operators, together with nonlocal initial conditions, are developed. This work extends results included in recent work by Naito, Park, Zhou, and others. The abstract theory is then applied to a parabolic partial integrodifferential equation.
引用
收藏
页码：397 / 414
页数：18
相关论文
共 50 条
  • [1] Approximate Controllability for a Class of Abstract Second-Order Functional Evolution Equations
    M.A. Mckibben
    [J]. Journal of Optimization Theory and Applications, 2003, 117 : 397 - 414
  • [2] Approximate controllability of second-order neutral stochastic evolution equations
    Mahmudov, N. I.
    McKibben, M. A.
    [J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2006, 13 (05): : 619 - 634
  • [3] Abstract functional second-order stochastic evolution equations with applications
    McKibben M.A.
    Webster M.
    [J]. Afrika Matematika, 2017, 28 (5-6) : 755 - 780
  • [4] APPROXIMATE CONTROLLABILITY FOR SECOND-ORDER STOCHASTIC NEUTRAL EVOLUTION EQUATIONS WITH INFINITE DELAY
    Kang, Xiaodong
    Fan, Hongxia
    [J]. EVOLUTION EQUATIONS AND CONTROL THEORY, 2024, 13 (01): : 140 - 159
  • [5] Approximate controllability for semilinear second-order neutral evolution equations with infinite delay
    Fan, Hongxia
    Kang, Xiaodong
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2023, 96 (09) : 2329 - 2340
  • [6] On the Approximate Controllability of Second-Order Evolution Hemivariational Inequalities
    Mahmudov, N., I
    Udhayakumar, R.
    Vijayakumar, V.
    [J]. RESULTS IN MATHEMATICS, 2020, 75 (04)
  • [7] On the Approximate Controllability of Second-Order Evolution Hemivariational Inequalities
    N. I. Mahmudov
    R. Udhayakumar
    V. Vijayakumar
    [J]. Results in Mathematics, 2020, 75
  • [8] Approximate controllability of second-order damped McKean-Vlasov stochastic evolution equations
    Muthukumar, P.
    Balasubramaniam, P.
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (10) : 2788 - 2796
  • [9] Controllability of Second-Order Semilinear Impulsive Stochastic Neutral Functional Evolution Equations
    Zhang, Lei
    Ding, Yongsheng
    Wang, Tong
    Hu, Liangjian
    Hao, Kuangrong
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
  • [10] Controllability for a class of second order functional evolution differential equations without uniqueness
    Vijayakumar, V.
    Murugesu, R.
    Selvan, M. Tamil
    [J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2019, 36 (01) : 225 - 246
12345