Abstract We investigate the existence of solutions weakly nonlinear periodic boundary value problems for systems ordinary differential equations with switchings and construction these solutions. consider critical case where equation generating constants a boundary-value problem does not turn into an identity. improve classification noncritical cases construct iterative algorithm finding in case...

in this paper, we consider an inverse problem of linear heat equation with nonlinear boundary condition. we identify the temperature and the unknown radiation tern from an overspecified condition on the boundary