Method of maximal monotonic operators in the theory of nonlinear integro-differential equations of convolution type

Using the method of maximal monotonic (in the Browder–Minty sense) operators, we prove global theorems on the existence and uniqueness of solutions for various classes of nonlinear integro-differential equations of convolution type in real spaces $L_p$, $1<p<\infty$, and present illustrative examples.