Tests for the Oscillation of Autonomous Differential Equations with Bounded Aftereffect
- 8 Downloads
Considering autonomous delay functional differential equations, we establish some oscillation criterion that reduces the oscillation problem to computing the only root of the real-valued function defined by the coefficients of the initial equation. Using the criterion, we obtain effectively verifiable oscillation tests for equations with various aftereffects.
Keywordsdelay differential equation oscillation concentrated and distributed delay
Unable to display preview. Download preview PDF.
- 1.Chaplygin S. A., A New Method of Approximate Integration of Differential Equations [Russian], Gostekhizdat, Moscow and Leningrad (1950).Google Scholar
- 5.Sabatulina T. L., “Oscillating solutions of autonomous differential equations with aftereffect,” Vestn. Permsk. Univ. Mat. Mekh. Inform., no. 3, 25–32 (2016).Google Scholar
- 6.Tramov M. I., “Conditions for the oscillation of the solutions of first order differential equations with retarded argument,” Izv. Vyssh. Uchebn. Zaved. Mat., no. 3, 92–96 (1975).Google Scholar