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Question: Solving two-value boundary problem for the delayed (retarted and advanced) differential equations (DDE)

Question:Solving two-value boundary problem for the delayed (retarted and advanced) differential equations (DDE)

Dmitry 30
9 hours ago
0

Hello All

I have the system of 4 differential equations with retarted delay (t-tau) and advanced argument (t+tau). The problem is also considered as a two-value boundary problem since some variables have initial conditions and some have terminal ones.

Here is a model:

Data:

A := 10;
B := 5;
C := 2;
tau = 0.5;
T := 10;
 z := 5;
 N := 20;
 

System:

sys := diff(K(t), t) = A*Q(t - tau) + K(t), diff(Q(t), t) = l_Q(t)*z - N, diff(l_K(t), t) = B*Q(t - tau) + l_K(t), diff(l_Q(t), t) = l_K(t + tau)*K(t + tau) + C;

Initial and terminal conditions:
 
inc := K(0) = 50, Q(0) = 200, l_K(T) = -20, l_Q(T) = 0;
   

I will appreciate any direction/suggestion on how this system can be solved. 

Dmitry
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