Scientiae Mathematicae Japonicae

Online ISSN : 1346-0447

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Volume 80, Issue 2

Scientiae Mathematicae Japonicae

Displaying 1-8 of 8 articles from this issue

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DYNAMICAL SYSTEM FOR EPITAXIAL GROWTH MODEL UNDER DIRICHLET CONDITIONS

Somayyeh Azizi, Atsushi Yagi

2017 Volume 80 Issue 2 Pages 109-122
Published: 2017
Released on J-STAGE: May 10, 2019

DOIhttps://doi.org/10.32219/isms.80.2_109

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HOMOGENEOUS STATIONARY SOLUTION TO EPITAXIAL GROWTH MODEL UNDER DIRICHLET CONDITIONS

Somayyeh Azizi, Atsushi Yagi

2017 Volume 80 Issue 2 Pages 123-131
Published: 2017
Released on J-STAGE: May 10, 2019

DOIhttps://doi.org/10.32219/isms.80.2_123

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BERTRAND VERSUS COURNOT COMPETITION IN A VERTICAL DUOPOLY

DongJoon Lee, SangHeon Han, Joonghwa Oh

2017 Volume 80 Issue 2 Pages 133-138
Published: 2017
Released on J-STAGE: May 10, 2019

DOIhttps://doi.org/10.32219/isms.80.2_133

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This paper examines whether firms prefer to choose prices or quantities with a manufacturing duopoly in which each upstream firm sells its product to its own downstream firm. The degree of product differentiation plays an important role in whether firms set prices or quantities. We show that price competition performs better than quantity competition, from the upstream and downstream firms’ point of view, regardless of the product differentiation. We also show that pay-offs are larger in Bertrand (price) competition than in Cournot (quantitiy) competition if both products are differentiated to a certain extent.

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ON SOME MATRIX MEAN INEQUALITIES WITH KANTOROVICH CONSTANT

DINH TRUNG HOA, DU THI HOA BINH, TOAN MINH HO

2017 Volume 80 Issue 2 Pages 139-151
Published: 2017
Released on J-STAGE: May 10, 2019

DOIhttps://doi.org/10.32219/isms.80.2_139

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GEOMETRICAL EXPANSION OF AN OPERATOR EQUATION

Eizaburo Kamei

2017 Volume 80 Issue 2 Pages 153-160
Published: 2017
Released on J-STAGE: May 10, 2019

DOIhttps://doi.org/10.32219/isms.80.2_153

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SOME OPERATOR DIVERGENCES BASED ON PETZ-BREGMAN DIVERGENCE

Hiroshi Isa, Masatoshi to, Eizaburo Kamei, Hiroaki Tohyama, Masayuki W ...

2017 Volume 80 Issue 2 Pages 161-170
Published: 2017
Released on J-STAGE: May 10, 2019

DOIhttps://doi.org/10.32219/isms.80.2_161

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ON DUCCI MATRIX SEQUENCES

Takanori Hida

2017 Volume 80 Issue 2 Pages 171-188
Published: 2017
Released on J-STAGE: May 10, 2019

DOIhttps://doi.org/10.32219/isms.80.2_171

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ON A NONLOCAL BIHARMONIC MEMS EQUATION WITH THE NAVIER BOUNDARY CONDITION

Tosiya Miyasita

2017 Volume 80 Issue 2 Pages 189-208
Published: 2017
Released on J-STAGE: May 10, 2019

DOIhttps://doi.org/10.32219/isms.80.2_189

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We study a biharmonic nonlocal MEMS equation. It arises in the Micro- Electro Mechanical System(MEMS) devices. First we establish the local solution and extend it globally in time by the use of the energy. Next, we consider the dynamical properties. The dynamical system has an absorbing set and a global attractor. Finally we prove the convergence of the global solution to a stationary solution.

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