On the Approximate Controllability of Second-Order Evolution Hemivariational Inequalities

被引:39
作者
Mahmudov, N., I [1 ]
Udhayakumar, R. [2 ]
Vijayakumar, V. [2 ]
机构
[1] Eastern Mediterranean Univ, Dept Math, Mersin 10, Gazimagusa, Turkey
[2] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India
关键词
Approximate controllability; second-order system; hemivariational inequality; clarke subdifferential; multivalued map; EXTREMAL SOLUTIONS; GLOBAL-SOLUTIONS; COSINE-FAMILIES; EXISTENCE; INCLUSIONS; SYSTEMS;
D O I
10.1007/s00025-020-01293-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In our manuscript, we organize a group of sufficient conditions for the approximate controllability of second-order evolution hemivariational inequalities. By applying a suitable fixed-point theorem for multivalued maps, we prove our results. Lastly, we present an example to illustrate the obtained theory.
引用
收藏
页数:19
相关论文
共 43 条
[1]  
Ahmed HM, 2019, APPL ANAL, V66, P1
[2]  
[Anonymous], 1993, APPL MECH ENG
[3]   Controllability of second-order impulsive evolution systems with infinite delay [J].
Arthi, G. ;
Balachandran, K. .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2014, 11 :139-153
[4]   On concepts of controllability for deterministic and stochastic systems [J].
Bashirov, AE ;
Mahmudov, NI .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1999, 37 (06) :1808-1821
[5]   Maximal regularity for second order non-autonomous Cauchy problems [J].
Batty, Charles J. K. ;
Chill, Ralph ;
Srivastava, Sachi .
STUDIA MATHEMATICA, 2008, 189 (03) :205-223
[6]   Extremal solutions of quasilinear parabolic inclusions with generalized Clarke's gradient [J].
Carl, S ;
Motreanu, D .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 191 (01) :206-233
[7]   Existence of extremal solutions of boundary hemivariational inequalities [J].
Carl, S .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 171 (02) :370-396
[8]  
Clarke FH., 1983, OPTIMIZATION NONSMOO
[9]   MULTI-VALUED MAPPINGS AND FIXED POINTS II [J].
Dhage, B. C. .
TAMKANG JOURNAL OF MATHEMATICS, 2006, 37 (01) :27-46
[10]   OPTIMAL-CONTROL OF SYSTEMS GOVERNED BY HEMIVARIATIONAL INEQUALITIES - EXISTENCE AND APPROXIMATION RESULTS [J].
HASLINGER, J ;
PANAGIOTOPOULOS, PD .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1995, 24 (01) :105-119