SOME RETARDED INTEGRAL INEQUALITIES AND THEIR APPLICATIONS

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

2016, v.23 no.2, pp.181-199

https://doi.org/10.7468/jksmeb.2016.23.2.181

KIM, YOUNG JIN (DANG JIN MIDDLE SCHOOL)

KIM, YOUNG JIN. (2016). SOME RETARDED INTEGRAL INEQUALITIES AND THEIR APPLICATIONS. 한국수학교육학회지시리즈B:순수및응용수학, 23(2), 181-199, https://doi.org/10.7468/jksmeb.2016.23.2.181

복사

Abstract

In this paper we obtain some retarded integral inequalities involving Stieltjes derivatives and we use our results in the study of various qualitative properties of a certain retarded impulsive differential equation.

keywords: retarded integral inequalities, Stieltjes derivatives, retarded impulsive differential equations

참고문헌

Frănková, D.;. (1991). Regulated functions. Math. Bohem., 116, 20-59.

Hönig, C.S.;. Volterra Stieltjes-integral equations. Mathematics Studies 16.

Kim, Y.J.;. (2011). Stieltjes derivatives and its applications to integral inequalities of Stieltjes type. J. Korean Soc. Math. Educ. Ser. B: Pure Appl. Math., 18(1), 63-78.

Kim, Y.J.;. (2014). Stieltjes derivative method for integral inequalities with impulses. J. Korean Soc. Math. Educ.Ser. B: Pure Appl. Math., 21(1), 61-75.

Pachpatte, B. G.;. (1998). Inequalities for differential and integral equations. Mathematics in Science and Engineering, 197.

Pachpatte, B. G.;. Integral and finite difference inequalities and applications. Mathematics Studies 205.

Rudin, W.;. Functional analysis.

Samoilenko, A.M.;Perestyuk, N.A.;. Impulsive differential equations.

Schaefer, H.;. (1955). Über die methode der a priori-Schranken. Math. Ann., 29, 415-416.

10.

Schwabik, Š.;. Generalized ordinary differential equations.

11.

Schwabik, Š.;Tvrdý, M.;Vejvoda, O.;. Differntial and integral equations: boundary value problems and adjoints.

12.

Tvrdý, M.;. (1989). Regulated functions and the Perron-Stieltjes integral. Časopis pešt. mat., 114(2), 187-209.

바로가기메뉴

논문 상세

Vol.23 No.2

SOME RETARDED INTEGRAL INEQUALITIES AND THEIR APPLICATIONS

SOME RETARDED INTEGRAL INEQUALITIES AND THEIR APPLICATIONS

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학