Nonlinear Variation of Constants Formula for Differential Equations with State-Dependent Delays

2015 ◽  
Vol 28 (3-4) ◽  
pp. 1187-1213 ◽  
Author(s):  
Ferenc Hartung
Keyword(s):  
Differential Equations ◽  
Nonlinear Variation ◽  
State Dependent ◽  
Variation Of Constants Formula ◽  
Variation Of Constants

scholarly journals An algorithm for solving linear nonhomogeneous quaternion-valued differential equations and some open problems

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Yonghui Xia ◽  
Hai Huang ◽  
Kit Ian Kou
Keyword(s):  
Differential Equations ◽  
Open Problems ◽  
Variation Of Constants Formula ◽  
Variation Of Constants

<p style='text-indent:20px;'>Quaternion-valued differential equations (QDEs) is a new kind of differential equations. In this paper, an algorithm was presented for solving linear nonhomogeneous quaternionic-valued differential equations. The variation of constants formula was established for the nonhomogeneous quaternionic-valued differential equations. Moreover, several examples showed the feasibility of our algorithm. Finally, some open problems end this paper.</p>

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.

Sign in / Sign up

Export Citation Format

Share Document