바로가기메뉴

본문 바로가기 주메뉴 바로가기

logo

KIM, YOUNG JIN(DANG JIN MIDDLE SCHOOL) pp.315-331 https://doi.org/10.7468/jksmeb.2015.22.4.315
초록보기
초록

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.

KIM, JU HONG(Department of Mathematics, Sungshin Women's University) pp.333-342 https://doi.org/10.7468/jksmeb.2015.22.4.333
초록보기
초록

Abstract

We show that the set of priors in the representation of Choquet expectation is the one of equivalent martingale measures under some conditions, when given capacity is submodular. It is proven via Peng’s g-expectation and related topics.

YUN, SUNGSIK(DEPARTMENT OF FINANCIAL MATHEMATICS, HANSHIN UNIVERITY) pp.343-357 https://doi.org/10.7468/jksmeb.2015.22.4.343
초록보기
초록

Abstract

Using the fixed point method, we prove the Hyers-Ulam stability of lin- ear mappings in Banach modules over a unital C*-algebra and in non-Archimedean Banach modules over a unital C*-algebra associated with the orthogonally Cauchy- Jensen additive functional equation.

KIM, JONGSU(Department of Mathematics, Sogang University) pp.359-364 https://doi.org/10.7468/jksmeb.2015.22.4.359
초록보기
초록

Abstract

We present smooth simply connected closed 4k-dimensional manifolds N := N<sub>k</sub>, for each k &#x2208; {2, 3, &#x22EF;}, with distinct symplectic deformation equivalence classes [[&#x3C9;<sub>i</sub>]], i = 1, 2. To distinguish [[&#x3C9;<sub>i</sub>]]&#x2019;s, we used the symplectic Z invariant in <xref>[4]</xref> which depends only on the symplectic deformation equivalence class. We have computed that Z(N, [[&#x3C9;<sub>1</sub>]]) = &#x221E; and Z(N, [[&#x3C9;<sub>2</sub>]]) &#x3C; 0.

CHOI, YONG HOON(DEPARTMENT OF MATHEMATICS, HANYANG UNIVERSITY) ; YUN, SUNGSIK(DEPARTMENT OF FINANCIAL MATHEMATICS, HANSHIN UNIVERSITY) pp.365-374 https://doi.org/10.7468/jksmeb.2015.22.4.365
초록보기
초록

Abstract

In this paper, we solve the additive &#x3C1;-functional equations

JUN, IN WHAN(DEPARTMENT OF MATHEMATICS, HANYANG UNIVERSITY) ; SEO, JEONG PIL(OHSANG HIGH SCHOOL) ; LEE, SUNGJIN(DEPARTMENT OF MATHEMATICS, DAEJIN UNIVERSITY) pp.375-382 https://doi.org/10.7468/jksmeb.2015.22.4.375
초록보기
초록

Abstract

In this paper, we solve the additive &#x03C1;-functional equations

SHIM, EON WHA(DEPARTMENT OF MATHEMATICS, HANYANG UNIVERSITY) ; GORDJI, MADJID ESHAGHI(DEPARTMENT OF MATHEMATICS, SEMNAN UNIVERSITY) ; LEE, JUNG RYE(Department of Mathematics, Daejin University) pp.383-387 https://doi.org/10.7468/jksmeb.2015.22.4.383
초록보기
초록

Abstract

In <xref>[1]</xref>, the definition of C*-Lie ternary (&#x03C3;,&#x3C4;,&#x03BE;)-derivation is not well-defined and so the results of [<xref>1</xref>, Section 4] on C*-Lie ternary (&#x03C3;,&#x3C4;,&#x03BE;)-derivations should be corrected.

KOH, HEEJEONG(DEPARTMENT OF MATHEMATICAL EDUCATION, DANKOOK UNIVERSITY) pp.389-401 https://doi.org/10.7468/jksmeb.2015.22.4.389
초록보기
초록

Abstract

We will show the general solution of the functional equation f(x + ay) + f(x &#x2212; ay) + 2(a<sup>2</sup> &#x2212; 1)f(x) = a<sup>2</sup>f(x + y) + a<sup>2</sup>f(x &#x2212; y) + 2a<sup>2</sup>(a<sup>2</sup> &#x2212; 1)f(y) and investigate the stability of quartic Lie *-derivations associated with the given functional equation.

KANG, EUNJU(DEPARTMENT OF INFORMATION AND COMMUNICATION TECHNOLOGY, HONAM UNIVERSITY) pp.403-412 https://doi.org/10.7468/jksmeb.2015.22.4.403
초록보기
초록

Abstract

Kato<xref>[6]</xref> and Torres<xref>[9]</xref> characterized the Weierstrass semigroup of ramification points on h-hyperelliptic curves. Also they showed the converse results that if the Weierstrass semigroup of a point P on a curve C satisfies certain numerical condition then C can be a double cover of some curve and P is a ramification point of that double covering map. In this paper we expand their results on the Weierstrass semigroup of a ramification point of a double covering map to the Weierstrass semigroup of a pair (P, Q). We characterized the Weierstrass semigroup of a pair (P, Q) which lie on the same fiber of a double covering map to a curve with relatively small genus. Also we proved the converse: if the Weierstrass semigroup of a pair (P, Q) satisfies certain numerical condition then C can be a double cover of some curve and P, Q map to the same point under that double covering map.

한국수학교육학회지시리즈B:순수및응용수학