Asymptotic Solution of a Boundary-Value Problem for Linear Singularly-Perturbed Functional Differential Equations Arising in Optimal Control Theory

2000 ◽  
Vol 106 (2) ◽  
pp. 309-335 ◽  
Author(s):  
V. Y. Glizer
Keyword(s):  
Optimal Control ◽  
Differential Equations ◽  
Control Theory ◽  
Boundary Value Problem ◽  
Asymptotic Solution ◽  
Optimal Control Theory ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Singularly Perturbed ◽  
Functional Differential

On the solvability of a linear boundary value problem for a class of neutral type functional differential equations

1982 ◽  
Vol 93 (1-2) ◽  
pp. 25-31
Author(s):  
N. G. Kazakova ◽  
D. D. Bainov
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Neutral Type ◽  
Linear Boundary ◽  
Necessary And Sufficient Condition ◽  
Functional Differential ◽  
Necessary And Sufficient ◽  
Linear Boundary Value Problem

SynopsisThe paper considers a linear non-homogeneous boundary value problem for a class of neutral type functional differential equations. A necessary and sufficient condition for the existence of a unique solution of that problem is obtained.

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