On certain differential equations with deviated argument

2017 ◽  
Vol 12 (1) ◽  
Author(s):  
M. Kwapisz
Keyword(s):  
Differential Equations ◽  
Deviated Argument

Exact and trajectory controllability of second order nonlinear differential equations with deviated argument

2017 ◽  
Vol 26 (2) ◽  
pp. 181-191
Author(s):  
M. MUSLIM ◽  
AVADHESH KUMAR ◽  
RAVI P. AGARWAL
Keyword(s):  
Differential Equations ◽  
Nonlinear Differential Equations ◽  
Exact Controllability ◽  
Second Order ◽  
Fixed Point Method ◽  
Linear Operators ◽  
Cosine Family ◽  
Bounded Linear ◽  
Deviated Argument ◽  
Strongly Continuous Cosine Family

In this manuscript, we consider a control system governed by a second order nonlinear differential equations with deviated argument in a Hilbert space X. We used the strongly continuous cosine family of bounded linear operators and fixed point method to study the exact and trajectory controllability. Also, we study the exact controllability of the nonlocal control problem. Finally, we give an example to illustrate the application of these results.

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