We will discuss  boundary value problems for differential equations, integro-differential уйгфешщты and hyperbolic equations. To solve these problems is used  the parameterization method, proposed by Professor Dzhumabaev. Algorithms for finding a solution to these problems  are proposed and conditions for the solvability of the considered  problems  are established. We will also be discussed  their applications to various problems for differential equations with piecewise-constant argument of generalized type.