3 citations · 3 across the 2 of their papers we have counts for
4 papers
Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs. II -- Dynamical Correspondence
Hisatoshi Kodani, Kaname Matsue, Hiroyuki Ochiai +1
In this paper, we provide a natural correspondence of eigenstructures of Jacobian matrices associated with equilibria for appropriately transformed two systems describing finite-ti…
Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs. I -- Method and Justification
Taisei Asai, Hisatoshi Kodani, Kaname Matsue +2
In this paper, we provide a systematic methodology for calculating multi-order asymptotic expansion of blow-up solutions near blow-up for autonomous ordinary differential equations…
On blow-up solutions of differential equations with Poincaré-type compactifications
Kaname Matsue
We provide explicit criteria for blow-up solutions of autonomous ordinary differential equations. Ideas are based on the quasi-homogeneous desingularization (blowing-up) of singula…
Numerical studies of the optimization of the first eigenvalue of the heat diffusion in inhomogeneous media
Kaname Matsue, Hisashi Naito
In this paper, we study optimization of the first eigenvalue of the heat equation with spatially nonuniform conductivity on a bounded domain under several constraints for the condu…