cvx matlab toolbox for a specific problem

i use cvx matlab toolbox to solve a non convex problem and it solved . I give you the code:

n = 3;

l=2*10^5

w=2*10^5

R=1.5

u=1;

a=4*10^(-20);

b=36*10^(-20);

c=36*10^(-20);

h=0.2; %0,4 maximum

cvx_begin

variables x(n) y(n) z(n)

maximize( x(n)+y(n)+z(n)-u*(sum(a * (pow_p(x(1),3)+ pow_p(x(2),3)+pow_p(x(3),3))) +sum((c* (pow_p(z(1),3)+ pow_p(z(2),3)+pow_p(z(3),3))))+ sum((b* (pow_p(y(1),3)+ pow_p(y(2),3)+pow_p(y(3),3)))+h)))

subject to

%x(n)+y(n)+z(n)-u*(sum(a * x(1:n).^3 + b*( y(1:n).^3)+h))=V

x(n)+y(n)+z(n)> 1

0 < x(n)

x(n) < l

0 < y(n)

y(n) < w

y(n)+z(n) < (1/15)*R

z(n) < (1/15)*R

0<z(n)

cvx_end

Can anyone explain if the cvx tool has the potential to solve problems like this? It says that was solved with SDPT3.