T. Shibata

activity

20192022

collaborators

3 papers

math.AP2022

Asymptotics of solution curves of Kirchhoff type elliptic equations with logarithmic Kirchhoff function

Tetsutaro Shibata

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_λ(x)…

math.AP2021

Bifurcation diagrams of one-dimensional Kirchhoff type equations

Tetsutaro Shibata

We study the one-dimensional Kirchhoff type equation $- (b + a ∥ u^{'} ∥^{2}) u^{''} (x) = λ u (x)^{p}, x \in I := (- 1, 1), u (x) > 0, x \in I, u (\pm 1) = 0,$ whe…

math.AP2019

Asymptotic behavior of bifurcation curves of ODEs with oscillatory nonlinear diffusion

Tetsutaro Shibata

We consider the nonlinear eigenvalue problem $[D (u (t)) u (t)^{'}]^{'} + λ g (u (t)) = 0$ , $u (t) > 0$ , $t \in I := (0, 1)$ , $u (0) = u (1) = 0$ , which comes from the porous media type equation. H…