The existence and stability of two periodic solutions on a class of Riccati's equation
type: Item
instance of: scholarly article
title: The existence and stability of two periodic solutions on a class of Riccati's equation
zbMATH Open document ID: 1426.34048
DOI: 10.1155/2018/2805161
author: Hua Ni
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: The existence of two periodic solutions of the Riccati's equation when the coefficients are \(\omega \)-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.
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 7018709
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/2805161
OpenAlex ID: W2901931056
cites work: Q3860160
cites work: The periodic solutions of Riccati equation with periodic coefficients
cites work: Q3491956
cites work: The periodic solutions of higher-dimensional Riccati equations with periodic coefficients.
cites work: Q5490725
cites work: Q5529795
cites work: The Number of Periodic Solutions of the Equation Ż=z N +p 1 (t )z
cites work: On a Class of Differential Equations of Riccati Type
cites work: Q3310195
cites work: Q4539793
cites work: On periodic solutions of the periodic Riccati equation
cites work: Multiplicity of periodic solutions for the planar polynomial equation
cites work: Positive oriented periodic solutions of the first-order complex ODE with polynomial nonlinear part
cites work: An equation \(\dot z=z^ 2+p(t)\) with no \(2\pi\)-periodic solutions
cites work: The method of holomorphic foliations in planar periodic systems: The case of Riccati equations
cites work: Periodic planar systems without periodic solutions
cites work: Q4226086
cites work: Nonexistence of periodic solutions of a complex Riccati equation
cites work: On one approach to the study of the asymptotic behaviour of the Riccati equation with complex-valued coefficients
cites work: The Riccati differential equation with complex-valued coefficients
cites work: Geometrical approach to the study of the Riccati differential equation with complex-valued coefficients
cites work: Stability of dynamical systems in the plane
cites work: Q3660132
cites work: A note on periodic solutions of Riccati equations
cites work: Planar nonautonomous polynomial equations: the Riccati equation
cites work: Periodic solutions of quaternionic-valued ordinary differential equations
cites work: Quaternionic-valued ordinary differential equations. The Riccati equation
cites work: An existence-uniqueness theorem for a class of boundary value problems
cites work: On the existence of periodic solutions for a class of generalized forced Liénard equations
cites work: A periodic solution of the generalized forced Liénard equation
cites work: Dichotomies in stability theory
cites work: Q3862642
Wikidata QID: Q128898714
description: scientific article; zbMATH DE number 7018709