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Research Output 1998 2019

  • 210 Citations
  • 7 h-Index
  • 34 Article
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Article
2019
2 Citations (Scopus)

Applications of generalized trigonometric functions with two parameters

Kobayashi, H. & Takeuchi, S., 2019 May 1, In : Communications on Pure and Applied Analysis. 18, 3, p. 1509-1521 13 p.

Research output: Contribution to journalArticle

Boundary value problems
Differential equations
2018
4 Citations (Scopus)

Complete p-elliptic integrals and a computation formula of πp for p= 4

Takeuchi, S., 2018 Jun 1, In : Ramanujan Journal. 46, 2, p. 309-321 13 p.

Research output: Contribution to journalArticle

2016
9 Citations (Scopus)

A new form of the generalized complete elliptic integrals

Takeuchi, S., 2016 Mar 25, In : Kodai Mathematical Journal. 39, 1, p. 202-226 25 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

Multiple-angle formulas of generalized trigonometric functions with two parameters

Takeuchi, S., 2016 Dec 15, In : Journal of Mathematical Analysis and Applications. 444, 2, p. 1000-1014 15 p.

Research output: Contribution to journalArticle

2014
7 Citations (Scopus)

The basis property of generalized Jacobian elliptic functions

Takeuchi, S., 2014, In : Communications on Pure and Applied Analysis. 13, 6, p. 2675-2692 18 p.

Research output: Contribution to journalArticle

2012
39 Citations (Scopus)
Bifurcation (mathematics)
Byproducts

On a generalized Jacobian elliptic function associated with p-Laplacian

Takeuchi, S., 2012 Jul 3, In : Default journal.

Research output: Contribution to journalArticle

Coincidence sets in quasilinear elliptic problems of monostable type

Takeuchi, S., 2011 Oct 15, In : Journal of Differential Equations. 251, 8, p. 2196-2208 13 p.

Research output: Contribution to journalArticle

Boundary value problems
2009
1 Citation (Scopus)
1 Citation (Scopus)

Coincidence sets associated with second-order ordinary differential equations of logistic type

Takeuchi, S., 2009 May, In : Differential and Integral Equations. 22, 5-6, p. 587-600 14 p.

Research output: Contribution to journalArticle

Ordinary differential equations
Logistics
Boundary value problems
2008

Coincidence sets in quasilinear problems of logistic type

Takeuchi, S., 2008 Nov 8, In : Default journal.

Research output: Contribution to journalArticle

2007

Coincidence sets in semilinear elliptic problems of logistic type

Takeuchi, S., 2007 Sep 1, In : Differential and Integral Equations. 20, p. 1075-1080

Research output: Contribution to journalArticle

5 Citations (Scopus)

Partial flat core properties associated to the p-Laplace operator

Takeuchi, S., 2007 Sep, In : Discrete and Continuous Dynamical Systems- Series A. SUPPL., p. 965-973 9 p.

Research output: Contribution to journalArticle

Singular perturbation problem for nonlinear-diffusive logistic equations

Takeuchi, S., 2007 Feb 1, In : 京都大学数理解析研究所講究録. 1542, p. 77-91

Research output: Contribution to journalArticle

2006

Nonlinear-diffusive logistic equations with spatial heterogeneity

Takeuchi, S., 2006 Jun 1, In : Default journal.

Research output: Contribution to journalArticle

2005
5 Citations (Scopus)
Saturation (materials composition)
2004

Complex Ginzburg-Landau type equations with nonlinear Laplacian

Takeuchi, S., Asakawa, H. & Yokota, T., 2004 Mar 1, In : Nonlinear Partial Differential Equations and Their Applications. 20, p. 315-332

Research output: Contribution to journalArticle

2003
14 Citations (Scopus)

Global attractors for a class of degenerate diffusion equations

Takeuchi, S. & Yokota, T., 2003, In : Electronic Journal of Differential Equations. 2003, p. 1-13 13 p.

Research output: Contribution to journalArticle

Global attractors for complex Ginzburg-Landau type equations

Takeuchi, S., Asakawa, H. & Yokota, T., 2003 Nov 1, In : Default journal.

Research output: Contribution to journalArticle

2001
Partial differential equations
Logistics

Global attractor for a class of degenerate parabolic equations

Takeuchi, S. & Yokota, T., 2001 Nov 1, In : Default journal.

Research output: Contribution to journalArticle

41 Citations (Scopus)

Multiplicity Result for a Degenerate Elliptic Equation with Logistic Reaction

Takeuchi, S., 2001 Jun 10, In : Journal of Differential Equations. 173, 1, p. 138-144 7 p.

Research output: Contribution to journalArticle

Logistics
Boundary conditions
2000
26 Citations (Scopus)

Asymptotic properties of a reaction-diffusion equation with degenerate p-Laplacian

Takeuchi, S. & Yamada, Y., 2000 Sep, In : Nonlinear Analysis, Theory, Methods and Applications. 42, 1, p. 41-61 21 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Partial differential equations with degenerate diffusion and logistic reaction

Takeuchi, S., 2000 Jul 1, In : Default journal.

Research output: Contribution to journalArticle

46 Citations (Scopus)
Logistics
Boundary conditions

Stability for stationary solutions of nonlinear parabolic equations

Takeuchi, S. & Yokota, T., 2000 Nov 1, In : Default journal.

Research output: Contribution to journalArticle

1999

Degenerate elliptic equation with logistic reaction

Takeuchi, S., 1999 Nov 1, In : 京都大学数理解析研究所講究録. 1117, p. 119-133

Research output: Contribution to journalArticle

1998

Remarks on a reaction-diffusion equation with degenerate p-Laplacian

Takeuchi, S., 1998 Aug 1, In : 京都大学数理解析研究所講究録. 1061, p. 27-42

Research output: Contribution to journalArticle