6 papers
Asymptotic formulas for bifurcation curves of nonlocal logistic equation of population dynamics
Tetsutaro Shibata
The one-dimensional nonlocal Kirchhoff type bifurcation problems which are derived from logistic equation of population dynamics are studied. We obtain the precise asymptotic shape…
Global bifurcation curves of nonlocal elliptic equations with oscillatory nonlinear term
Tetsutaro Shibata
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 $…
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)…
Asymptotic behavior of bifurcation curves of one-dimensional nonlocal elliptic equations
Tetsutaro Shibata
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) &=& λu(x)^p, \quad x \in I:= (0,1), \ u(x) > 0, \…
Bifurcation diagrams of one-dimensional Kirchhoff type equations
Tetsutaro Shibata
We study the one-dimensional Kirchhoff type equation whe…
Asymptotic behavior of bifurcation curves of ODEs with oscillatory nonlinear diffusion
Tetsutaro Shibata
We consider the nonlinear eigenvalue problem , , , , which comes from the porous media type equation. H…