Rest points of generalized dynamical systems

1999 ◽  
Vol 65 (1) ◽  
pp. 24-30
Author(s):  
B. D. Gel’man
Keyword(s):  
Dynamical Systems ◽  
Generalized Dynamical Systems

scholarly journals Global Dynamical Systems Involving Generalized -Projection Operators and Set-Valued Perturbation in Banach Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Yun-zhi Zou ◽  
Xi Li ◽  
Nan-jing Huang ◽  
Chang-yin Sun
Keyword(s):  
Fixed Point ◽  
Dynamical Systems ◽  
Banach Spaces ◽  
Equilibrium Points ◽  
Projection Operators ◽  
Initial Value ◽  
New Class ◽  
The Fixed Point Theorem ◽  
Generalized Projection Operators ◽  
Generalized Dynamical Systems

A new class of generalized dynamical systems involving generalizedf-projection operators is introduced and studied in Banach spaces. By using the fixed-point theorem due to Nadler, the equilibrium points set of this class of generalized global dynamical systems is proved to be nonempty and closed under some suitable conditions. Moreover, the solutions set of the systems with set-valued perturbation is showed to be continuous with respect to the initial value.

Asymptotic and total stability for generalized dynamical systems

1978 ◽  
Vol 7 (4) ◽  
pp. 279-287
Author(s):  
S. Caprino ◽  
P. Negrini ◽  
M. Scalia
Keyword(s):  
Dynamical Systems ◽  
Total Stability ◽  
Generalized Dynamical Systems
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