Abstract
We study the third-order ordinary differential equations (ODEs) which are relevant to the steady state of the Kuramoto-Sivashinsky equation, and/or to a model of dendritic growth of needle crystals. We show that there is no monotonic solution for certain range of parameter.
Citation
Naoyuki Ishimura. MasaAki Nakamura. "NONEXISTENCE OF MONOTONIC SOLUTIONS OF SOME THIRD-ORDER ODE RELEVANT TO THE KURAMOTO-SIVASHINSKY EQUATION." Taiwanese J. Math. 4 (4) 621 - 625, 2000. https://doi.org/10.11650/twjm/1500407295
Information