Nonlocal Physics: Boundary Integral Conditions

[mathmai]

Can we say that the boundary integral conditions= the nonlocal boundary condition?!

 

[HallsofIvy]

You will have to define nonlocal boundary conditions. Mathematically, any boundary conditions that cover more than a single point are "non-local".

 

[mathmai]

THE ARTICLE OF BAILI CHEN : EXISTENCE OF SOLUTIONS FOR QUASILINEAR PARABOLIC
EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS

in this article there is problem; I want to know which term indicate that my problem is nonlocal boundary and why??