Necessary conditions for optimal controls for systems governed by parabolic partial delay-differential equations in divergence form with first boundary conditions

1982 ◽  
Vol 36 (4) ◽  
pp. 565-613 ◽  
Author(s):  
S. Nababan ◽  
K. L. Teo
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Delay Differential Equations ◽  
Necessary Conditions ◽  
Divergence Form ◽  
Optimal Controls ◽  
Partial Delay ◽  
Delay Differential

scholarly journals Existence and uniqueness of weak solutions of the Cauchy problem for parabolic delay-differential equations

1980 ◽  
Vol 21 (1) ◽  
pp. 65-80 ◽  
Author(s):  
S. Nababan ◽  
K.L. Teo
Keyword(s):  
Cauchy Problem ◽  
Weak Solution ◽  
Differential Equations ◽  
Delay Differential Equations ◽  
Existence And Uniqueness ◽  
A Priori ◽  
Divergence Form ◽  
Partial Delay ◽  
The Cauchy Problem ◽  
Delay Differential

In this paper, a class of systems governed by second order linear parabolic partial delay-differential equations in “divergence form” with Cauchy conditions is considered. Existence and uniqueness of a weak solution is proved and its a priori estimate is established.

scholarly journals Existence of optimal controls for systems governed by second order linear parabolic partial delay-differential equations with first boundary conditions

1979 ◽  
Vol 21 (1) ◽  
pp. 21-36 ◽  
Author(s):  
K. L. Teo
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Second Order ◽  
Optimal Controls ◽  
Control Variables ◽  
Order Linear ◽  
Partial Delay ◽  
Delay Differential ◽  
The Cost ◽  
Delay Partial Differential Equations

AbstractIn this paper, we consider a class of systems governed by second order linear parabolic delay-partial differential equations with first boundary conditions. Our main results are reported in Theorems 3.1 and 3.2. As in [9, Theorems 4.1 and 4.2], the coefficients and forcing terms of the system considered in Theorem 3.1 are linear in the control variables. On the other hand, the forcing terms of the system considered in Theorem 3.2 are allowed to be nonlinear in the control variables at the expense of dropping the control variables in the cost integrand.

Sign in / Sign up

Export Citation Format

Share Document