Lectures in differential equations

    Short introductions into differential equations  PDF

    The existence and uniqueness of solution of first order DE  PDF

    Exact equations  PDF

    Envelopes and irregular points  PDF

    Solutions in form of series  PDF

    High-order linear differential equations  PDF

    Linear differential equations with constant coefficients. Special non-homogeneous cases and boundary value problems  PDF

    I Applications in quantum mechanics. II Singular points of the first order equations  PDF

    Systems of the first order linear differential equations with constant coefficients  PDF

    Nonlinear system and numerical approach  PDF

    First Lyapunov stability theorem  PDF

    Lyapunov’s theory of stability  PDF

    First order equations in partial derivatives  PDF

    Sapienti sat  PDF

 

Problems for term papers

(in Russian)

 

A list of questions for spoken exam

(in Russian)