ON EXISTENCE OF PERIODIC SOLUTIONS OF AN ORDINARY SECOND-ORDER DIFFERENTIAL EQUATION WITH PARAMETER AND DISCONTINUOUS RIGHT-HAND SIDE WITH VARIOUS BOUNDARY CONDITIONS

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Abstract

An ordinary second-order differential equation with positive parameter and discontinuous right-hand side which changes its sign at the point of the jump is considered. Various boundary value problems for it are formulated, including mixed and periodic boundary conditions. Theorems on existence of periodic solutions of the studied boundary value problems are established. The obtained results are illustrated by examples.

About the authors

O. V Baskov

Saint Petersburg State University

Email: o.baskov@spbu.ru

D. K Potapov

Saint Petersburg State University

Email: d.potapov@spbu.ru

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