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GENERALIZED SECOND-ORDER DIFFERENTIAL EQUATIONS WITH TWO-POINT BOUNDARY CONDITIONS

Kim, Young Jin

  • Received : 2018.07.11
  • Accepted : 2019.08.14
  • Published : 2019.08.31

Abstract

In this paper we define higher-order Stieltjes derivatives, and using Schaefer's fixed point theorem we investigate the existence of solutions for a class of differential equations involving second-order Stieltjes derivatives with two-point boundary conditions. The equations include ordinary and impulsive differential equations, and difference equations.

Keywords

higher-order Stieltjes derivatives;second-order differential equations;two-point boundary conditions