On some integral inequalities and their applications
In the present paper the author has obtained various upper bounds on solutions of the Volterra-Fredholm type integral inequalities of the form \[ u(x,t)\leq f(x,t)+ \int^t_0 \int^b_0 k(x,t,y,s)u(y,s)dy ds. \] The obtained results are applied to study the boundedness, stability, and uniqueness of the solutions of some integral equations and their systems.
Volterra-Fredholm type integral inequalities
scientific article; zbMATH DE number 1003964