Some new integral inequalities with mixed nonlinearities for discontinuous functions

Abstract

Abstract In this paper, we establish some new integral inequalities with mixed nonlinearities for discontinuous functions, which provide a handy tool in deriving the explicit bounds for the solutions of impulsive differential equations and differential-integral equations with impulsive conditions.

Keywords

• integral inequalities
• discontinuous functions
• mixed nonlinearities
• impulsive differential equations