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  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.22 No.4

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SOME OPIAL-TYPE INEQUALITIES APPLICABLE TO DIFFERENTIAL EQUATIONS INVOLVING IMPULSES

SOME OPIAL-TYPE INEQUALITIES APPLICABLE TO DIFFERENTIAL EQUATIONS INVOLVING IMPULSES

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2015, v.22 no.4, pp.315-331
https://doi.org/10.7468/jksmeb.2015.22.4.315
KIM, YOUNG JIN (DANG JIN MIDDLE SCHOOL)
KIM, YOUNG JIN. (2015). SOME OPIAL-TYPE INEQUALITIES APPLICABLE TO DIFFERENTIAL EQUATIONS INVOLVING IMPULSES. 한국수학교육학회지시리즈B:순수및응용수학, 22(4), 315-331, https://doi.org/10.7468/jksmeb.2015.22.4.315

Abstract

The purpose of this paper is to obtain Opial-type inequalities that are useful to study various qualitative properties of certain differential equations involving impulses. After we obtain some Opial-type inequalities, we apply our results to certain differential equations involving impulses.

keywords
Stieltjes derivatives, Opial-type inequalities, differential equations involv-ing impulses

참고문헌

1.

Schwabik, Š.;. Generalized ordinary differential equations.

2.

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

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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.

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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.

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Hönig, C.S.;. Volterra Stieltjes-integral equations.

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Henstock, R.;. Lectures on the theory of integration.

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Agarwal, R.P.;Pang, P.Y.H.;. Opial inequalities with applications in differential anddifference equations.

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

한국수학교육학회지시리즈B:순수및응용수학

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