Dynamics and oscillations for some difference and differential equations with piecewise constant arguments

2021 ◽  
Author(s):  
Hanen Assel ◽  
Mohamed Ali Hammami ◽  
Mohsen Miraoui
Keyword(s):  
Differential Equations ◽  
Piecewise Constant Arguments ◽  
Piecewise Constant

scholarly journals Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments

2012 ◽  
Vol 2012 ◽  
pp. 1-25 ◽  
Author(s):  
Juan J. Nieto ◽  
Rosana Rodríguez-López
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
The State ◽  
State Function ◽  
Uniqueness Of Solutions ◽  
Piecewise Constant Arguments ◽  
Piecewise Constant ◽  
Functional Differential

We provide optimal conditions for the existence and uniqueness of solutions to a nonlocal boundary value problem for a class of linear homogeneous second-order functional differential equations with piecewise constant arguments. The nonlocal boundary conditions include terms of the state function and the derivative of the state function. A similar nonhomogeneous problem is also discussed.

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