Boundaries of Stability Domains for Equilibrium Points of Differential Equations with Parameters

Journal Article · Tue May 15 00:00:00 EDT 2018 · Journal of Mathematical Sciences

DOI:https://doi.org/10.1007/S10958-018-3797-X· OSTI ID:22771260

Yumagulov, M. G., E-mail: [e-mail] ^[1]; Ibragimova, L. S., E-mail: [e-mail] ^[2]; Mustafina, I. Zh., E-mail: [e-mail] ^[1]

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1. Bashkir State University (Russian Federation)
2. Bashkir State Agrarian University (Russian Federation)

We consider autonomous and periodic differential equations containing two scalar parameters and analyze the construction of boundaries of stability domains of equilibrium points for such equations in the plane of parameters. We indicate conditions under which a unique smooth boundary curve passes through a given point. We propose a scheme of approximate construction of this curve.

• OSTI ID: 22771260
• Journal Information: Journal of Mathematical Sciences, Vol. 230, Issue 5; Conference: International symposium on differential equations, Perm (Russian Federation), 17-18 May 2016; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1072-3374
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
DIAGRAMS
DIFFERENTIAL EQUATIONS
EQUILIBRIUM
PERIODICITY
SCALARS
STABILITY