The distribution of zeros of all solutions of first order neutral differential equations

DOI10.1016/j.amc.2015.03.004zbMath1390.34204OpenAlexW2091017778MaRDI QIDQ1636903

Hassan A. El-Morshedy, Faroq A. Baker

Publication date: 7 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.03.004

zbMATH Keywords

oscillationneutral differential equationsdistribution of zeros

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Oscillation theory of functional-differential equations (34K11) Neutral functional-differential equations (34K40)

Related Items (7)

On the distribution of adjacent zeros of solutions to first-order neutral differential equations ⋮ The distribution of zeros of oscillatory solutions for second order nonlinear neutral delay differential equations ⋮ Distribution of zeros of solutions of sixth order (2 ≤ n ≤ 5)-points boundary value problem in terms of semi-critical intervals ⋮ New results for the upper bounds of the distance between adjacent zeros of first-order differential equations with several variable delays ⋮ The first positive root of the fundamental solution is an optimal oscillation bound for linear delay differential equations ⋮ Distribution of zeros of second order superlinear and sublinear neutral delay differential equations ⋮ The distribution of generalized zeros of oscillatory solutions for second-order nonlinear neutral delay difference equations

Cites Work

• On the distribution of zeros of solutions of first order delay differential equations
• Distribution of zeros of solutions of functional differential equations
• Stability of functional differential equations
• The distribution of zeros of solutions to neutral differential equations
• The distribution of zeroes of solutions of neutral equations
• The distribution of zeros of solutions of neutral differential equations
• Distribution of zeros of solutions to first-order delay differential equations
• Nonoscillation Theory of Functional Differential Equations with Applications
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