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

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2019, v.26 no.3, pp.157-175

https://doi.org/10.7468/jksmeb.2019.26.3.157

Kim, Young Jin (Onyang Shinjung Middle School)

Kim, Young Jin. (2019). GENERALIZED SECOND-ORDER DIFFERENTIAL EQUATIONS WITH TWO-POINT BOUNDARY CONDITIONS. 한국수학교육학회지시리즈B:순수및응용수학, 26(3), 157-175, https://doi.org/10.7468/jksmeb.2019.26.3.157

복사

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

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Vol.26 No.3

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

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

Abstract

한국수학교육학회지시리즈B:순수및응용수학