Kodai Mathematical Journal

Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991

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Predecessor

Volume 19, Issue 2

Displaying 1-11 of 11 articles from this issue

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A note on the Poincaré-Bendixson index theorem

Marek Izydorek, Slawomir Rybicki, Zbigniew Szafraniec

1996 Volume 19 Issue 2 Pages 145-156
Published: 1996
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138043594

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The local scheme for an equilibrium state of an analytic planar dynamical systems is investigated. Upper bounds of the numbers of elliptic and hyperbolic sectors are derived. Methods of singularity theory are applied to obtain appropriate estimations in terms of indices of maps explicitly constructed from a vector field.

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On the value distribution of ff^(k)

Chung Chun Yang, Pei Chu Hu

1996 Volume 19 Issue 2 Pages 157-167
Published: 1996
Released on J-STAGE: April 24, 2009

DOIhttps://doi.org/10.2996/kmj/1138043595

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Let f be a transcendental entire function. In this paper we will prove that if f is of finite order, then there exists at most one integer k{≥}2 such that ff^(k) may have non-zero and finite Picard exceptional value. We also give a class of entire functions which have no non-zero finite Picard values. If f is a transcendental meromorphic function, we obtain that for non-negative integers n, n₁, …, n_k with n{≥}1, n₁+…+n_k{≥}1, if δ(o, f)>3/(3n+3n₁+…+3n_k+1), then fⁿ(f')^n₁…(f^k)^n_k has no finite non-zero Picard values.

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Yang-Mills homogeneous connections on compact simple Lie groups

Osamu Ikawa

1996 Volume 19 Issue 2 Pages 168-176
Published: 1996
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138043596

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Sharp isoperimetric inequalities for stationary varifolds and area minimizing flat chains mod k

Jaigyoung Choe

1996 Volume 19 Issue 2 Pages 177-190
Published: 1996
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138043597

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On base point free theorem

Shigetaka Fukuda

1996 Volume 19 Issue 2 Pages 191-199
Published: 1996
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138043598

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Asymptotic behavior of solutions of second order nonlinear difference equations

Jizhong Wang, Fanwei Meng, Jibao Li

1996 Volume 19 Issue 2 Pages 200-206
Published: 1996
Released on J-STAGE: April 24, 2009

DOIhttps://doi.org/10.2996/kmj/1138043599

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In this paper, we study the asymptotic behavior of the second order difference equation
(*) Δ(r(n)Δx(n))+f(n, x(n))=0.
we obtain some sufficient conditions which ensure that all the solutions of (*) are bounded, and also obtain some conditions which guarantee that for every solution x(n) of (*) satisfies |x(n)|=O(R(n, n₀)) as n→∞, where R(n, s)=∑\limits_k=sⁿ⁻¹\frac{1}{r(k)}.

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A remark on Artal's paper

Hiro-o Tokunaga

1996 Volume 19 Issue 2 Pages 207-217
Published: 1996
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138043600

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On the bifurcation set of a polynomial function and Newton boundary, II

Alexandru Zaharia

1996 Volume 19 Issue 2 Pages 218-233
Published: 1996
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138043601

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Construction of Markov processes of certain spin systems on Z

Yuki Suzuki

1996 Volume 19 Issue 2 Pages 234-258
Published: 1996
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138043602

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Linear isometric operators on the C₀⁽ⁿ⁾(X) type spaces

Risheng Wang

1996 Volume 19 Issue 2 Pages 259-281
Published: 1996
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138043603

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In this paper, we try to investigate the representations of isometries, isometry groups and the space classifications of the C₀⁽ⁿ⁾(X) type spaces (X⊂R^m, m, n{≥}1).

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Monotone discontinuity of lattice operations in a quasilinear harmonic space

Mitsuru Nakai

1996 Volume 19 Issue 2 Pages 282-292
Published: 1996
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138043604

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We claim, contrary to the linear case, that the lattice operations among harmonic functions are not necessarily monotone continuous in quasilinear harmonic spaces by showing the existence of a quasilinear harmonic space (X, H) in which there are harmonic functions u_n in H(X)(n=1, 2, …, ∞) with the following properties: the least harmonic majorant u_n∨0 and the greatest harmonic minorant u_n∧0 of u_n and 0 exist in H(X) for every n=1, 2, …, ∞; the sequence (u_n)_1{≤}n<∞ is increasing and convergent to u_∞ on X; the sequence (u_n∧0)_1{≤}n<∞ converges increasingly to a harmonic function strictly less than u_∞∧ 0 on X.

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