Scientiae Mathematicae Japonicae

ON THE PROBLEM OF TOTAL STABILITY FOR PERIODIC DIFFERENTIAL SYSTEMS

LUIGI SALVADORI, FRANCESCA VISENTIN

2011 年 73 巻 2+3 号 p. 105-111
発行日: 2011年
公開日: 2019/06/29

DOIhttps://doi.org/10.32219/isms.73.2_3_105

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ON ORDERED SEMIGROUPS WHICH ARE COMPLETE CHAINS OF SEMIGROUPS

Niovi Kehayopulu, Michael Tsingelis

2011 年 73 巻 2+3 号 p. 113-115
発行日: 2011年
公開日: 2019/06/29

DOIhttps://doi.org/10.32219/isms.73.2_3_113

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MULTIPLIERS IN SUBTRACTION ALGEBRAS

Yong Ho Yon, Kyung Ho Kim

2011 年 73 巻 2+3 号 p. 117-123
発行日: 2011年
公開日: 2019/06/29

DOIhttps://doi.org/10.32219/isms.73.2_3_117

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In this paper, we introduce the concept of multiplier of subtraction algebras and obtained some properties of subtraction algebras. Also, we introduce the simple multiplier and characterized the kernel of multipliers of subtraction algebras.

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AN EXTERNAL VERSION OF THE JENSEN OPERATOR INEQUALITY

Jun Ichi Fujii

2011 年 73 巻 2+3 号 p. 125-128
発行日: 2011年
公開日: 2019/06/29

DOIhttps://doi.org/10.32219/isms.73.2_3_125

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Convexity or concavity for a real function is expressed by the relation between internally dividing points in the domain and in the range and so is Jensen’s inequality. Observing that it is also expressed by externally dividing points, we discuss Jensen’s operator inequality from this point of view.

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MARKET ENTRY STRATEGY BY VERTICALLY INTEGRATED FIRMS: DIRECT ENTRY VS. SPIN-OFF

DongJoon Lee, SangHeon Han

2011 年 73 巻 2+3 号 p. 129-142
発行日: 2011年
公開日: 2019/06/29

DOIhttps://doi.org/10.32219/isms.73.2_3_129

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This paper analyzes a strategic entry game by vertically integrated firms in a successive Cournot model. When a vertically integrated firm enters backward into the input market, it chooses one between two; direct entry or spin-off. Such an entry makes the input market be more competitive than before. It also benefits all separated downstream firms, whereas it deteriorates all integrated downstream firms. The number of downstream firms plays an important role in equilibrium. If the number of downstream firms is less than a threshold level, integrated firms choose direct entry, whereas, if the number of downstream firms exceeds the threshold level, integrated firms spin off their input divisions.

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ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO STOCHASTIC PHASE TRANSITION MODEL

Ta Viet Ton, Yoshitaka Yamamoto, Nguyen Huu Du, Atsushi Yagi

2011 年 73 巻 2+3 号 p. 143-156
発行日: 2011年
公開日: 2019/06/29

DOIhttps://doi.org/10.32219/isms.73.2_3_143

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In this paper, we consider a stochastic adsorbate-induced phase transition model. First, we prove the existence and uniqueness of global solution. Then, we estimate the long-time expectation of the adsorbate coverage rate of the surface and its average integral as well as the behaviour of solutions. Finally, numerical examples are presented to illustrate those results.

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POSSIBILITY-BASED PROBABILITY MAXIMIZATION MODELS FOR FUZZY RANDOM MINIMUM SPANNING TREE PROBLEMS

H. Katagiri, E.B. Mermri, M. Sakawa

2011 年 73 巻 2+3 号 p. 157-169
発行日: 2011年
公開日: 2019/06/29

DOIhttps://doi.org/10.32219/isms.73.2_3_157

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This paper deals with a minimum spanning tree programming problem involving fuzzy random weights. New decision making models are proposed to maximize the probability that the degree of possibility or necessity that the fuzzy goal for the fuzzy random objective function is satisfied is greater than or equal to a satisficing level. It is shown that the original problems involving fuzzy random variables are transformed into deterministic equivalent ones which are nonlinear maximum spanning tree problems through the proposed models. An efficient tabu search algorithm is developed to solve the resulting nonlinear maximum spanning tree problems.

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THE FACTORIZATION OF x⁵ + ax^m + 1.

Paul D. Lee, Blair K. Spearman

2011 年 73 巻 2+3 号 p. 171-174
発行日: 2011年
公開日: 2019/06/29

DOIhttps://doi.org/10.32219/isms.73.2_3_171

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We consider trinomials of the form x⁵ + ax^m + 1 where a is a rational number and determine those trinomials that factor over the rational numbers as the product of an irreducible quadratic and an irreducible cubic. The solution requires the calculation of the rational points on a pair of genus 2 curves.

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DERIVATIONS OF WEAK BCC-ALGEBRAS

JANUS THOMYS

2011 年 73 巻 2+3 号 p. 175-181
発行日: 2011年
公開日: 2019/06/29

DOIhttps://doi.org/10.32219/isms.73.2_3_175

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We describe derivations of weak BCC-algebras (called also BZ-algebras) in which the condition (xy)z = (xz)y is satisfied only in the case when elements x, y belong to the same branch.

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JENSEN TYPE INEQUALITIES ON QUASI-ARITHMETIC OPERATOR MEANS

Jadranka Micic, Zlatko Pavic, Josip Pecaric Josip Pecaric

2011 年 73 巻 2+3 号 p. 183-192
発行日: 2011年
公開日: 2019/06/29

DOIhttps://doi.org/10.32219/isms.73.2_3_183

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As a continuation of our previous considerations about the operator order among quasi-arithmetic means [Linear Algebra Appl. 434 (2011), 1228–1237], we study this order with a different condition on the spectra. As an application we gave the order among some means. Also, we give similar results for F-order.

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