Recurrence formula for some higher order evolution equations

Autor:	Iwata, Yoritaka
Rok vydání:	2022
Předmět:	Mathematics - Functional Analysis Mathematical Physics 47D60 46N20
Zdroj:	Chaos, Solitons & Fractals: X 13 (2024) 100119
Druh dokumentu:	Working Paper
DOI:	10.1016/j.csfx.2024.100119
Popis:	Riccati's differential equation is formulated as abstract equation in finite or infinite dimensional Banach spaces. Since the Riccati's differential equation with the Cole-Hopf transform shows a relation between the first order evolution equations and the second order evolution equations, its generalization suggests the existence of recurrence formula leading to a sequence of differential equations with different order. %%% In conclusion, by means of the logarithmic representation of operators, a transform between the first order evolution equations and the higher order evolution equation is presented. Several classes of evolution equations with different orders are given, and some of them are shown as examples. Comment: To appear in Chaos Solitons and Fractals X, Ver.2 is the accepted version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2204.00744 Zobrazit plný text záznamu View this record from Arxiv