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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.23 No.2

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SOME RETARDED INTEGRAL INEQUALITIES AND THEIR APPLICATIONS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
KIM,, Y. J. (2016). SOME RETARDED INTEGRAL INEQUALITIES AND THEIR APPLICATIONS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 23(2), 181-199, https://doi.org/10.7468/jksmeb.2016.23.2.181

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

Reference

1.

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

2.

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

3.

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.

4.

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.

5.

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

6.

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

7.

Rudin, W.;. Functional analysis.

8.

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

9.

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.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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