Generalized variation-of-constants formula for nonlinear functional differential equations

1987 ◽  
Vol 24 (3) ◽  
pp. 263-274 ◽  
Author(s):  
Sadashiv G. Deo ◽  
Euclides F. Torres
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Nonlinear Functional ◽  
Variation Of Constants Formula ◽  
Variation Of Constants ◽  
Functional Differential ◽  
Generalized Variation

Variation of constants for hybrid systems of functional differential equations

1995 ◽  
Vol 125 (1) ◽  
pp. 1-12 ◽  
Author(s):  
Jack K. Hale ◽  
Wenzhang Huang
Keyword(s):  
Differential Equations ◽  
Hybrid Systems ◽  
Difference Equations ◽  
Delay Differential Equations ◽  
Functional Equations ◽  
Functional Differential Equations ◽  
Variation Of Constants Formula ◽  
Variation Of Constants ◽  
Functional Differential ◽  
Delay Differential

The objective is to derive a variation of constants formula for systems of functional differential equations (or delay differential equations) coupled with functional equations (or difference equations). The difficulties arise because of the constraints imposed by the functional equations.

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