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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive
Sib. Èlektron. Mat. Izv., 2020 Volume 17, Pages 1900–1920 (Mi semr1322)
Differentical equations, dynamical systems and optimal control

On oscillation of solutions for linear autonomous functional differential equations with two delays

A. S. Balandin, T. L. Sabatulina

Perm National Research Polytechnic University, 29, Komsomolskiy ave., Perm, 614990, Russia

Abstract: We present necessary and sufficient conditions for the oscillation of solutions to linear autonomous functional differential equations with two delays. The conditions are proposed in both the analytic and geometric forms.

Keywords: functional differential equation, delay, concentrated delay, distributed delay, oscillation, effective conditions.

UDC: 517.929

MSC: 34K06,34K11

Received July 3, 2020, published November 20, 2020

DOI: 10.33048/semi.2020.17.128



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