Zobrazeno 1 - 10
of 177
pro vyhledávání: '"Shibata Tetsutaro"'
Autor:
Shibata Tetsutaro
Publikováno v:
Advances in Nonlinear Analysis, Vol 12, Iss 1, Pp 356-368 (2022)
We study the one-dimensional Kirchhoff-type equation −(b+a‖u′‖2)u″(x)=λu(x)p,x∈I≔(−1,1),u(x)>0,x∈I,u(±1)=0,-\left(b+a\Vert u^{\prime} {\Vert }^{2}){u}^{^{\prime\prime} }\left(x)=\lambda u{\left(x)}^{p},\hspace{1em}x\in I:= \left(-
Externí odkaz:
https://doaj.org/article/d002d1d4d8ee46f0ab1df2ddb07d0a64
Autor:
Shibata Tetsutaro
Publikováno v:
Open Mathematics, Vol 19, Iss 1, Pp 641-657 (2021)
We study the global structure of the oscillatory perturbed bifurcation problem which comes from the stationary logarithmic Schrödinger equation −u″(t)=λ(log(1+u(t))+sinu(t)),u(t)>0,t∈I≔(−1,1),u(±1)=0,-{u}^{^{\prime\prime} }\left(t)=\lamb
Externí odkaz:
https://doaj.org/article/fbec466e8f424b4bbf631a0c452bb243
Autor:
Shibata, Tetsutaro
We study the one-dimensional nonlocal elliptic equation of Kirchhoff type with convolutional Kirchhoff functions. We establish the exact solutions $u_\lambda$ and bifurcation curves $\lambda(\alpha)$, where $\alpha:= \Vert u_\lambda\Vert_\infty$.
Externí odkaz:
http://arxiv.org/abs/2403.14052
Autor:
Shibata, Tetsutaro
We study the one-dimensional nonlocal elliptic equation of Kirchhoff type with oscillatory nonlinear term. We establish the precise asymptotic formulas for the bifurcation curves $\lambda(\alpha)$ as $\alpha \to \infty$ and $\alpha \to 0$, where $\al
Externí odkaz:
http://arxiv.org/abs/2309.14714
Autor:
Shibata, Tetsutaro
We study the one-dimensional nonlocal elliptic equation of Kirchhoff type with logarithmic Kirchhoff function. We establish the precise asymptotic formulas for the solution $u_\lambda(x)$ as $\lambda \to \infty$. Here, $\lambda > 0$ is the bifurcatio
Externí odkaz:
http://arxiv.org/abs/2210.14381
Autor:
Shibata, Tetsutaro
We study the one-dimensional nonlocal elliptic equation \begin{eqnarray*} -\left(\int_0^1 \vert u(x)\vert^p dx + b\right)^q u''(x) &=& \lambda u(x)^p, \quad x \in I:= (0,1), \ u(x) > 0, \ x\in I, \\ u(0) &=& u(1) = 0, \end{eqnarray*} where $b \ge 0,
Externí odkaz:
http://arxiv.org/abs/2112.10995
Autor:
Shibata, Tetsutaro
We study the one-dimensional Kirchhoff type equation $$ -(b + a\Vert u'\Vert^{2}) u''(x) = \lambda u(x)^p, x \in I:= (-1,1), \enskip u(x) > 0, \enskip x\in I, \enskip u(\pm 1) = 0, $$ where $\Vert u'\Vert = \left(\int_I u'(x)^2 dx\right)^{1/2}$, $a >
Externí odkaz:
http://arxiv.org/abs/2109.14864
Autor:
Shibata, Tetsutaro
We consider the nonlinear eigenvalue problem $[D(u(t))u(t)']' + \lambda g(u(t)) = 0$, $u(t) > 0$, $t \in I := (0,1)$, $u(0) = u(1) = 0$, which comes from the porous media type equation. Here, $D(u) = pu^{2n} + \sin u$ ($n \in \mathbb{N}$, $p > 0$: gi
Externí odkaz:
http://arxiv.org/abs/1909.13448
Global and asymptotic behaviors of bifurcation curves of one-dimensional nonlocal elliptic equations
Autor:
Shibata, Tetsutaro
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 December 2022 516(2)
Autor:
Shibata, Tetsutaro1 (AUTHOR) tshibata@hiroshima-u.ac.jp
Publikováno v:
Boundary Value Problems. 9/5/2022, Vol. 2022 Issue 1, p1-15. 15p.