The Bohl–Perron Theorem for Hybrid Linear Systems with Aftereffect

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

DOI:https://doi.org/10.1007/S10958-018-3788-Y· OSTI ID:22771268

Simonov, P. M., E-mail: [e-mail] ^[1]

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1. Perm State National Research University (Russian Federation)

We consider an abstract hybrid system of functional-differential equations. Both equations are functional-differential with respect to one part of variables and difference with respect to to the other part of variables. To the system of two equations with two unknowns appeared, we apply the W-method of N. V. Azbelev. We examine two models: a system of functional-differential equations and a system of difference equations. We study the spaces of their solutions and obtain the Bohl–Perron-type theorems on the exponential stability.

• OSTI ID: 22771268
• 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
DIFFERENTIAL EQUATIONS
HYBRID SYSTEMS
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
STABILITY