Nonlinear integral equations with kernels of potential type on a segment

We study various classes of nonlinear equations containing an operator of potential type (Riesz potential). By the monotone operators method in the Lebesgue spaces of real-valued functions $L_p(a,b)$ we prove global theorems on existence, uniqueness, estimates, and methods of obtaining of their solutions. We consider corollaries as applications of our results.