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Abstract Mathematical modelling of real-life problems usually results in functional equation, the initial value problem of the dierential equations and integral equations. Many mathematical formulation of physical phenomena contain dierential equations, functional equation and functional dierential equations. The theory of integral operators, integral equations and dierential equations are important parts of nonlinear analysis. It is caused by the fact that this theories are frequently applicable in other branches of mathematics and in mathematical physics, biology as well in describing problems connected with real world. Our aim in this thesis is to consider the question of the existence and uniqueness of solutions of the functional equations with parameter and constrained problem of a functional integral equation. |