eesti teaduste
akadeemia kirjastus
SINCE 1952
Proceeding cover
of the estonian academy of sciences
ISSN 1736-7530 (Electronic)
ISSN 1736-6046 (Print)
Impact Factor (2020): 1.045
A quadratic bilinear equation arising from the quadratic dynamical system; pp. 248–259
PDF | 10.3176/proc.2021.3.04

Bo Yu, Ning Dong, Qiong Tang

A quadratic dynamical system with practical applications is taken into consideration. This system is transformed into a new bilinear system with Hadamard products by means of the implicit matrix structure. The corresponding quadratic bilinear equation is subsequently established via the Volterra series. Under proper conditions, the existence of the solution to the equation is proved by using a fixed-point iteration. Numerical experiments verify the proposed theory of the solution.


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