Kodai Mathematical Journal

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

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Volume 9, Issue 1

Displaying 1-13 of 13 articles from this issue

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Explosion and asymptotic behavior of nonlinear Ito type stochastic integrodifferential equations

M. G. Murge, B. G. Pachpatte

1986 Volume 9 Issue 1 Pages 1-18
Published: 1986
Released on J-STAGE: April 24, 2009

DOIhttps://doi.org/10.2996/kmj/1138037145

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The present paper deals with the study of explosion and growth order of solutions of a general class of Ito-type stochastic integrodifferential equations which contain as a special case the study of Ito type stochastic differential equations. Sufficient conditions for infinite explosion time and asymptotic behavior of solutions are investigated.

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The Gauss image of flat surfaces in R⁴

Kazuyuki Enomoto

1986 Volume 9 Issue 1 Pages 19-32
Published: 1986
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138037146

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Asymptotic behavior of certain small subharmonic functions in {Re z>0}

Hideharu Ueda

1986 Volume 9 Issue 1 Pages 33-43
Published: 1986
Released on J-STAGE: April 24, 2009

DOIhttps://doi.org/10.2996/kmj/1138037147

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On the Gauss map of minimal surfaces immersed in Rⁿ

Masahiko Fujiki

1986 Volume 9 Issue 1 Pages 44-49
Published: 1986
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138037148

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On the convolution of L₂ functions

Saburou Saitoh

1986 Volume 9 Issue 1 Pages 50-57
Published: 1986
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138037149

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An operator theoretical characterization of ε-entropy in Gaussian processes

Shigeo Akashi

1986 Volume 9 Issue 1 Pages 58-67
Published: 1986
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138037150

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Probabilistic characterization of certain Banach spaces

Jun Kawabe

1986 Volume 9 Issue 1 Pages 68-76
Published: 1986
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138037151

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Some results in geometry of hypersurfaces

Takashi Okayasu

1986 Volume 9 Issue 1 Pages 77-83
Published: 1986
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138037152

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A varifold solution to the nonlinear equation of motion of a vibrating membrane

Daisuke Fujiwara, Shoichiro Takakuwa

1986 Volume 9 Issue 1 Pages 84-116
Published: 1986
Released on J-STAGE: April 24, 2009

DOIhttps://doi.org/10.2996/kmj/1138037153

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A remark on the stability of Yang-Mills connections

Shigeo Kawai

1986 Volume 9 Issue 1 Pages 117-122
Published: 1986
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138037154

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Coefficient estimates for the class Σ

Mitsuru Ozawa

1986 Volume 9 Issue 1 Pages 123-133
Published: 1986
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138037155

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Some examples exhibiting the procedures of renormalization and gauge fixing. —Schwinger-Dyson equations of first order

Atsushi Inoue

1986 Volume 9 Issue 1 Pages 134-160
Published: 1986
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138037156

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In this note, a ‘definition’ of the useful but notorious Feynman measure corresponding to bilinear Lagrangeans with ‘singular’ coefficients is given through functional derivative equations. Especially, the procedures of renormalization and gauge fixing are clarified at the equation level.

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On uniqueness theorem concerning the renormalized Schwinger-Dyson equations of first order

—A remark on the preceding paper by A. Inoue

Asao Arai

1986 Volume 9 Issue 1 Pages 161-164
Published: 1986
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138037157

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