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Title: Oscillation Criterion for Autonomous Differential Equations with Bounded Aftereffect

Abstract

For autonomous functional-differential equations with delays, we obtain an oscillation criterion, which allows one to reduce the oscillation problem to the calculation of a unique root of a real-valued function determined by the coefficients of the original equation. The criterion is illustrated by examples of equations with concentrated and distributed aftereffect, for which convenient oscillation tests are obtained.

Authors:
 [1]
  1. Perm National Research Polytechnic University (Russian Federation)
Publication Date:
OSTI Identifier:
22771279
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 230; Journal 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); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; DIFFERENTIAL EQUATIONS; FUNCTIONS; OSCILLATIONS

Citation Formats

Malygina, V. V., E-mail: mavera@list.ru. Oscillation Criterion for Autonomous Differential Equations with Bounded Aftereffect. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3776-2.
Malygina, V. V., E-mail: mavera@list.ru. Oscillation Criterion for Autonomous Differential Equations with Bounded Aftereffect. United States. doi:10.1007/S10958-018-3776-2.
Malygina, V. V., E-mail: mavera@list.ru. Tue . "Oscillation Criterion for Autonomous Differential Equations with Bounded Aftereffect". United States. doi:10.1007/S10958-018-3776-2.
@article{osti_22771279,
title = {Oscillation Criterion for Autonomous Differential Equations with Bounded Aftereffect},
author = {Malygina, V. V., E-mail: mavera@list.ru},
abstractNote = {For autonomous functional-differential equations with delays, we obtain an oscillation criterion, which allows one to reduce the oscillation problem to the calculation of a unique root of a real-valued function determined by the coefficients of the original equation. The criterion is illustrated by examples of equations with concentrated and distributed aftereffect, for which convenient oscillation tests are obtained.},
doi = {10.1007/S10958-018-3776-2},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 5,
volume = 230,
place = {United States},
year = {2018},
month = {5}
}