Zobrazeno 1 - 10 of 22 pro vyhledávání: '"YAMAZAWA, Hiroshi"'
1
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A note on $G_q$-summability of formal solutions of some linear $q$-difference-differential equations
Autor: Tahara, Hidetoshi, Yamazawa, Hiroshi
The paper discusses the summability of formal solutions of some linear q-difference-differential equations, and improves the previous result in [Tahara-Yamazawa, Opsucula Math. 35 (2015), 713-738].
Comment: 9 pages
Externí odkaz: http://arxiv.org/abs/1812.09480
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2
Akademický článek
Multisummability of formal solutions to the Cauchy problem for some linear partial differential equations
Autor: Tahara, Hidetoshi, Yamazawa, Hiroshi
Publikováno v: In Journal of Differential Equations 15 November 2013 255(10):3592-3637
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3
A note on $G_q$-summability of formal solutions of some linear $q$-difference-differential equations (New development of microlocal analysis and singular perturbation theory)
Autor: TAHARA, Hidetoshi, YAMAZAWA, Hiroshi
Publikováno v: 数理解析研究所講究録別冊. :113-121
Let q > 1 and delta > 0 . For a function f(t, z) , the q-shift operator sigma_{q} in t is defined by sigma_{q}(f)(t, z) = f(qt, z). This article discusses a linear q-difference-differential equation sum_{j+delta|alpha|leq m}a_{j, alpha}(t, z)(sigma_{
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::1f5f2b4486d4b120bc7a5847dc10d9a8
http://hdl.handle.net/2433/244775
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4
Singular solutions of $q$-difference-differential equations of Briot-Bouquet type (New development of microlocal analysis and singular perturbation theory)
Autor: Yamazawa, Hiroshi
Publikováno v: 数理解析研究所講究録別冊. :73-87
In 1990, Gérard - Tahara [3] introduced the Briot - Bouquet type partial differential equation tpartial_{t}u=F(t, x, u, partial_{x}u). In [17] the author showed existences of holomorphic and singular solutions of the following type of difference - d
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::6de28bfe286d3bd9fe687a352065e753
http://hdl.handle.net/2433/244772
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5
$q$-analogue of a system of equations from geometry (Microlocal analysis and asymptotic analysis)
Autor: Yamamoto, Jun, Yamazawa, Hiroshi
Publikováno v: 数理解析研究所講究録. 2101:165-177
R.Bielawski [1] studied some systems of partial-differential equations and gave the unique existence theorem of holomorphic solutions. In this paper we investigate that a system of qdifference-differential equations under some conditions which Yamaza
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::6009d52941f746cfdc0b658710dd98d5
http://hdl.handle.net/2433/251825
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6
Summability of formal solutions for $epsilon t^{r+1}frac{partial}{partial t}u=f(t,u)$ (Algebraic analytic methods in complex partial differential equations)
Autor: Yamazawa, Hiroshi
Publikováno v: 数理解析研究所講究録. 2020:114-128
In this paper we consider semilinear partial differential equations. For a formal solution of the equations we give the results of the summability of the formal solution with respect to the each variable t and $epsilon$ and the both variables.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::246b4e0a0dacaa8938c55a898614e2e5
http://hdl.handle.net/2433/231744
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10
Akademický článek
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