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ISSN : 1226-0657

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Vol.21 No.1
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STIELTJES DERIVATIVE METHOD FOR INTEGRAL INEQUALITIES WITH IMPULSES

STIELTJES DERIVATIVE METHOD FOR INTEGRAL INEQUALITIES WITH IMPULSES

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2014, v.21 no.1, pp.61-75
https://doi.org/10.7468/jksmeb.2014.21.1.61
Kim, Young Jin (Dang Jin Middle School)
Kim, Young Jin. (2014). STIELTJES DERIVATIVE METHOD FOR INTEGRAL INEQUALITIES WITH IMPULSES. 한국수학교육학회지시리즈B:순수및응용수학, 21(1), 61-75, https://doi.org/10.7468/jksmeb.2014.21.1.61
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Abstract

The purpose of this paper is to obtain some integral inequalities with impulses by using the method of Stieltjes derivatives, and we use our results in the study of Lyapunov stability of solutions of a certain nonlinear impulsive integro-differential equation.

keywords
integral inequalities with impulses, Stieltjes derivatives

참고문헌

1.

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

2.

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

3.

A.M. Samoilenko & N.A. Perestyuk. Impulsive differential equations.

4.

Kim, Yung-Jin;. (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.

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P. Krejci & J. Kurzweil. (2002). A nonexistence result for the Kurzweil integral. Math. Bohem., 127, 571-580.

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B.G. Pachpatte. Inequalities for differential and integral equations. Mathematics in Science and Engineering 197.

7.

S. Schwabik. Generalized ordinary differential equations.

8.

S. Schwabik, M. Tvrdy & O. Vejvoda. Differntial and integral equations: boundary value problems and adjoints.

한국수학교육학회지시리즈B:순수및응용수학

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