Sums of zeros of solutions to non-homogeneous ODE with polynomial coefficients

DOI10.1016/j.jmaa.2014.06.045zbMath1375.34123OpenAlexW2002575530MaRDI QIDQ743244

Michael I. Gil'

Publication date: 23 September 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.06.045

zbMATH Keywords

zeros of solutionsODE in the complex plane

Mathematics Subject Classification ID

Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items (4)

Bounds for products of zeros of solutions to nonhomogeneous ODE with polynomial coefficients ⋮ A bound for zeros of solutions to a higher order non-homogeneous ODE with polynomial coefficients ⋮ Inequalities for sums and products of complex zeros of solutions to ODE with polynomial right parts ⋮ Localization and perturbation of complex zeros of solutions to second order differential equations with polynomial coefficients. A survey

Cites Work

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• Differential polynomials generated by some complex linear differential equations with meromorphic coefficients
• On the complex oscillation theory off″ +A(z)f= 0 whereA(z) is analytic in the unit disc
• On oscillation theorems for differential polynomials
• ON THE ZEROS OF SOLUTIONS OF THE DIFFERENTIAL EQUATION ω(2m) + p(z)ω = 0
• Inequalities for zeros of entire functions
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