竹内 慎吾

研究成果

年別の研究成果 1998 2000 2001 2007 2012 2021 2021

• 37 Article
• 1 Conference article
• 1 Review article

年別の研究成果

年別の研究成果

検索結果

• A generalized Jacobian elliptic functions and its application to p-Laplacian bifurcation problems

  Takeuchi, S., 2011 6月 24, In: Default journal.

  研究成果: Article › 査読

• A new form of the generalized complete elliptic integrals

  Takeuchi, S., 2016 3月 25, In: Kodai Mathematical Journal. 39, 1, p. 202-226 25 p.

  研究成果: Article › 査読

  • Elliptic integral 100%
  • Legendre 54%
  • Form 32%
  • Circular function 29%
  • Generalized Functions 25%
  33 被引用数 (Scopus)

• A note on stability for stationary solutions of nonlinear parabolic equations

  Takeuchi, S. & Yokota, T., 2001 9月 1, In: Mathematical Aspects of Modelling Structure Formation Phenomena. 17, p. 119-129

  研究成果: Article › 査読

• Applications of a duality between generalized trigonometric and hyperbolic functions

  Miyakawa, H. & Takeuchi, S., 2021 10月 1, In: Journal of Mathematical Analysis and Applications. 502, 1, 125241.

  研究成果: Article › 査読

  Open Access

  • Hyperbolic functions 100%
  • Hyperbolic function 81%
  • Circular function 77%
  • Double angle formula 70%
  • Generalized Functions 68%
  1 被引用数 (Scopus)

• Applications of generalized trigonometric functions with two parameters

  Kobayashi, H. & Takeuchi, S., 2019 5月, In: Communications on Pure and Applied Analysis. 18, 3, p. 1509-1521 13 p.

  研究成果: Article › 査読

  Open Access

  • Circular function 100%
  • Generalized Functions 88%
  • Two Parameters 79%
  • P-Laplacian 73%
  • Lemniscate of Bernoulli 52%
  12 被引用数 (Scopus)

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

  Takeuchi, S. & Yamada, Y., 2000 9月, In: Nonlinear Analysis, Theory, Methods and Applications. 42, 1, p. 41-61 21 p.

  研究成果: Article › 査読

  • P-Laplacian 100%
  • Reaction-diffusion Equations 97%
  • Asymptotic Properties 85%
  • Interaction 35%
  • Term 26%
  29 被引用数 (Scopus)

• Behavior of solutions for a degenerate parabolic equation with logistic reaction

  Takeuchi, S., 2000 3月 1, In: FREE BOUNDARY PROBLEMS : Theory and Applications. 13, p. 355-368

  研究成果: Article › 査読

• Behavior of solutions near the flat hats of stationary solutions for a degenerate parabolic equation

  Takeuchi, S., 2000 1月 1, In: SIAM Journal on Mathematical Analysis. 31, 3, p. 678-692 15 p.

  研究成果: Article › 査読

  • Degenerate Parabolic Equation 100%
  • Behavior of Solutions 83%
  • Stationary Solutions 83%
  • Intersection 41%
  • Open set 25%
  3 被引用数 (Scopus)

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

  Takeuchi, S., 2009 6月 1, In: Differential and Integral Equations. 22, p. 587-600

  研究成果: Article › 査読

  1 被引用数 (Scopus)

• Coincidence sets in quasilinear elliptic problems of monostable type

  Takeuchi, S., 2011 10月 15, In: Journal of Differential Equations. 251, 8, p. 2196-2208 13 p.

  研究成果: Article › 査読

  • Quasilinear Elliptic Problems 100%
  • Energy Method 81%
  • Coincidence 80%
  • Comparison Theorem 78%
  • Smooth function 70%

• Coincidence sets in quasilinear problems of logistic type

  Takeuchi, S., 2008 11月 8, In: Default journal.

  研究成果: Article › 査読

• Coincidence sets in semilinear elliptic problems of logistic type

  Takeuchi, S., 2007 9月 1, In: Differential and Integral Equations. 20, p. 1075-1080

  研究成果: Article › 査読

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

  Takeuchi, S., 2018 6月 1, In: Ramanujan Journal. 46, 2, p. 309-321 13 p.

  研究成果: Article › 査読

  • Elliptic integral 100%
  • P-version 36%
  • Circular function 29%
  • Generalized Functions 25%
  • Generalization 13%
  17 被引用数 (Scopus)

• Complex Ginzburg-Landau type equations with nonlinear Laplacian

  Takeuchi, S., Asakawa, H. & Yokota, T., 2004 3月 1, In: Nonlinear Partial Differential Equations and Their Applications. 20, p. 315-332

  研究成果: Article › 査読

• Degenerate elliptic equation with logistic reaction

  Takeuchi, S., 1999 11月 1, In: 京都大学数理解析研究所講究録. 1117, p. 119-133

  研究成果: Article › 査読

• Generalized Jacobian elliptic functions and their application to bifurcation problems associated with p-Laplacian

  Takeuchi, S., 2012 1月 1, In: Journal of Mathematical Analysis and Applications. 385, 1, p. 24-35 12 p.

  研究成果: Article › 査読

  • Generalized Jacobian 100%
  • Jacobian Elliptic Function 97%
  • Bifurcation (mathematics) 87%
  • P-Laplacian 70%
  • Bifurcation 54%
  57 被引用数 (Scopus)

• Generalized Jacobian elliptic functions with applications to p-Laplacian bistable problems

  Takeuchi, S., 2012 11月 8, In: Default journal.

  研究成果: Article › 査読

• Global attractor for a class of degenerate parabolic equations

  Takeuchi, S. & Yokota, T., 2001 11月 1, In: Default journal.

  研究成果: Article › 査読

• Global attractors for a class of degenerate diffusion equations

  Takeuchi, S. & Yokota, T., 2003 12月 1, In: Electronic Journal of Differential Equations. 2003, p. 1-13 13 p.

  研究成果: Article › 査読

  • Degenerate Diffusion 100%
  • Degenerate Equations 90%
  • Global Attractor 79%
  • Diffusion equation 72%
  • Stationary Solutions 38%
  14 被引用数 (Scopus)

• Global attractors for complex Ginzburg-Landau type equations

  Takeuchi, S., Asakawa, H. & Yokota, T., 2003 11月 1, In: Default journal.

  研究成果: Article › 査読

• Lyapunov-type inequalities for a Sturm-Liouville problem of the one-dimensional p-Laplacian

  Takeuchi, S. & Watanabe, K., 2021 7月, In: Differential and Integral Equations. 34, 7-8, p. 383-399 17 p.

  研究成果: Article › 査読

  • Hyperbolic functions 100%
  • One-dimensional p-Laplacian 96%
  • Sobolev Embedding 93%
  • Hyperbolic function 81%
  • Sturm-Liouville Problem 78%

• Multiple-angle formulas of generalized trigonometric functions with two parameters

  Takeuchi, S., 2016 12月 15, In: Journal of Mathematical Analysis and Applications. 444, 2, p. 1000-1014 15 p.

  研究成果: Article › 査読

  Open Access

  • Circular function 100%
  • Generalized Functions 88%
  • Two Parameters 79%
  • Angle 76%
  • Lemniscate of Bernoulli 43%
  20 被引用数 (Scopus)

• Multiplicity Result for a Degenerate Elliptic Equation with Logistic Reaction

  Takeuchi, S., 2001 6月 10, In: Journal of Differential Equations. 173, 1, p. 138-144 7 p.

  研究成果: Article › 査読

  • Degenerate Elliptic Equations 100%
  • Multiplicity Results 86%
  • Logistics 78%
  • Positive Solution 62%
  • Boundary conditions 58%
  45 被引用数 (Scopus)

• Nonlinear-diffusive logistic equations with spatial heterogeneity

  Takeuchi, S., 2006 6月 1, In: Default journal.

  研究成果: Article › 査読

• On a generalized Jacobian elliptic function associated with p-Laplacian

  Takeuchi, S., 2012 7月 3, In: Default journal.

  研究成果: Article › 査読

• Partial differential equations with degenerate diffusion and logistic reaction

  Takeuchi, S., 2000 7月 1, In: Default journal.

  研究成果: Article › 査読

• Partial flat core properties associated to the p-Laplace operator

  Takeuchi, S., 2007 9月 1, In: Discrete and Continuous Dynamical Systems- Series A. SUPPL., p. 965-973 9 p.

  研究成果: Article › 査読

  • P-Laplace Operator 100%
  • Singular Perturbation Problems 90%
  • Comparison Principle 82%
  • Elliptic Equations 66%
  • Positive Solution 60%
  5 被引用数 (Scopus)

• Positive solutions of a degenerate elliptic equation with logistic reaction

  Takeuchi, S., 2001 2月 1, In: Proceedings of the American Mathematical Society. 129, p. 433-441

  研究成果: Article › 査読

• Positive solutions of a degenerate elliptic equation with logistic reaction

  Takeuchi, S., 2001, In: Proceedings of the American Mathematical Society. 129, 2, p. 433-441 9 p.

  研究成果: Article › 査読

  • Degenerate Elliptic Equations 100%
  • Maximal Solution 96%
  • Logistics 78%
  • Positive Solution 62%
  • Boundary conditions 58%
  51 被引用数 (Scopus)

• Remarkable properties of the sinc_p,q functions and related integrals

  Melkonian, H. & Takeuchi, S., 2021 7月 1, In: Journal of Mathematical Analysis and Applications. 499, 1, 124981.

  研究成果: Article › 査読

  Open Access

  • Q-function 100%
  • Dirichlet Integral 99%
  • Two Parameters 64%
  • Improper integral 51%
  • Integrand 37%

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

  Takeuchi, S., 1998 8月 1, In: 京都大学数理解析研究所講究録. 1061, p. 27-42

  研究成果: Article › 査読

• Singular perturbation problem for nonlinear-diffusive logistic equations

  Takeuchi, S., 2007 2月 1, In: 京都大学数理解析研究所講究録. 1542, p. 77-91

  研究成果: Article › 査読

• Some double-angle formulas related to a generalized lemniscate function

  Takeuchi, S., 2021 11月, In: Ramanujan Journal. 56, 2, p. 753-761 9 p.

  研究成果: Article › 査読

  Open Access

  • Double angle formula 100%
  • Lemniscate of Bernoulli 72%
  • Inverse function 29%
  1 被引用数 (Scopus)

• Stability for stationary solutions of nonlinear parabolic equations

  Takeuchi, S. & Yokota, T., 2000 11月 1, In: Default journal.

  研究成果: Article › 査読

• Stationary profiles of degenerate problems with inhomogeneous saturation values

  Takeuchi, S., 2005 11月 30, In: Nonlinear Analysis, Theory, Methods and Applications. 63, 5-7, p. e1009-e1016

  研究成果: Article › 査読

  • Degenerate Problems 100%
  • Saturation 82%
  • Profile 67%
  • Degenerate Diffusion 34%
  • P-Laplacian 26%
  5 被引用数 (Scopus)

• The basis property of generalized Jacobian elliptic functions

  Takeuchi, S., 2014 11月, In: Communications on Pure and Applied Analysis. 13, 6, p. 2675-2692 18 p.

  研究成果: Article › 査読

  • Generalized Jacobian 100%
  • Jacobian Elliptic Function 97%
  • Lebesgue Space 49%
  • Circular function 25%
  • Generalized Functions 22%
  9 被引用数 (Scopus)

• Two double-angle formulas of generalized trigonometric functions

  Sato, S. & Takeuchi, S., 2020 2月, In: Journal of Approximation Theory. 250, 105322.

  研究成果: Article › 査読

  • Double angle formula 100%
  • Circular function 55%
  • Generalized Functions 48%
  • Language 12%
  4 被引用数 (Scopus)