Nonlocal Physics: Boundary Integral Conditions

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Can we say that the boundary integral conditions= the nonlocal boundary condition?!
 
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You will have to define nonlocal boundary conditions. Mathematically, any boundary conditions that cover more than a single point are "non-local".
 
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??
 

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