Strongly nonlinear impulsive evolution equations and optimal control

被引:11
|
作者
Sattayatham, P [1 ]
机构
[1] Sunanaree Univ Technol, Sch Math, Nakkon Ratchasima 30000, Thailand
关键词
nonlinear impulsive evolution equations; nonlinear monotone operator; evolution triple;
D O I
10.1016/j.na.2004.03.025
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Strongly nonlinear impulsive evolution equations are investigated. Existence of solutions of strongly nonlinear impulsive equations is proved and some properties of the solutions are discussed. These results are applied to Lagrange problems of optimal control and we proved existence results. For illustration, an example of a quasi-linear impulsive parabolic differential equation and the corresponding optimal control is also presented. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1005 / 1020
页数:16
相关论文
共 50 条
  • [31] Optimal Control Problems for Evolution Equations of Parabolic Type with Nonlinear Perturbations
    Jin-Mun Jeong
    Eun-Young Ju
    Su-Jin Cheon
    Journal of Optimization Theory and Applications, 2011, 151 : 573 - 588
  • [32] Optimal control governed impulsive neutral differential equations
    Camacho, Oscar
    Castillo, Rene Erlin
    Leiva, Hugo
    RESULTS IN CONTROL AND OPTIMIZATION, 2024, 17
  • [33] The existence for solutions of mixed monotone nonlinear impulsive evolution equations
    Zhang, Lingling
    Yang, Jin
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 16 - 20
  • [34] Optimal control of the nonlinear impulsive system and application in fermentation
    Wang, HY
    Han, JH
    Shen, LJ
    Xiu, ZL
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 1545 - 1552
  • [35] Optimal approximation to a class of nonlinear evolution equations
    Li, Huanrong
    Li, Yukun
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (17) : 8842 - 8852
  • [36] Second-order nonlinear impulsive evolution equations with time-varying generating operators and optimal controls
    Peng, Y.
    Xiang, X.
    OPTIMIZATION, 2008, 57 (06) : 827 - 840
  • [37] The solitary wave approximate solution of strongly nonlinear evolution equations
    Mo Jia-Qi
    Zhang Wei-Jiang
    He Ming
    ACTA PHYSICA SINICA, 2007, 56 (04) : 1843 - 1846
  • [38] Solitary wave approximate solution of strongly nonlinear evolution equations
    Department of Mathematics, Anhui Normal University, Wuhu 241000, China
    不详
    Wuli Xuebao, 2007, 4 (1843-1846):
  • [39] Optimal control for evolution equations with memory
    Cannarsa, P.
    Frankowska, H.
    Marchini, E. M.
    JOURNAL OF EVOLUTION EQUATIONS, 2013, 13 (01) : 197 - 227
  • [40] Optimal control for evolution equations with memory
    P. Cannarsa
    H. Frankowska
    E. M. Marchini
    Journal of Evolution Equations, 2013, 13 : 197 - 227