How to solve an equation with 3 unknown

Hi all

I have a function S(c,delta,xT)

And i would like to know when

S(c,delta,xT)-S(2,1,1)=0

for 0<c<4, 1<delta<3 and 0.8<xT<1

In the same time I need xT<f(c,delta).

I have tried for a long time and can't seem to get it right.

Thank you

(also need a plot of it, but if I just can solve the equation, I think I can make the plot).

[Star Strider]

I suggest you consider fmincon (Optimization Toolbox).

Answer 1

[Matt J]

Have you checked whether the obvious solution satisfies xT<f(c,delta):

c=2;
delta=1;
xT=1;

[Bastaixen]

I would like to have all possible solution, such that I am able to draw a plot of all solutions

[Matt J]

I doubt you'll be able to get all possible solutions. Do they even form a finite set? Running a solver like fmincon or fsolve can only give you 1 solution at a time, and you have to give an initial guess about where to look for them.