Open AccessThe Existence and Stability of Two Periodic Solutions on a Class of Riccati’s Equation
Author(s) -
Ni Hua
Publication year - 2018
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2018/2805161
Subject(s) - riccati equation , stability (learning theory) , class (philosophy) , mathematics , algorithm , computer science , mathematical analysis , differential equation , artificial intelligence , machine learning
The existence of two periodic solutions of the Riccati’s equation when the coefficients are ω -periodic and have different signs is obtained. One of these solutions is unstable on R and the other one is attractive on some region. Finally, an example is presented.