Oscillation results for solutions of linear differential equations in the complex domain

DOI10.1007/BF03322641zbMath0705.34008OpenAlexW1981294555MaRDI QIDQ917750

Steven B. Bank, Ilpo Laine, James K. Langley

Publication date: 1989

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322641

zbMATH Keywords

exponent of convergencezeros of solutions

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Ordinary differential equations in the complex domain (34M99)

Related Items (16)

The separation of zeros of solutions of higher order linear differential equations with entire coefficients ⋮ On the oscillation of certain second-order linear differential equations ⋮ Common zeros of the solutions of two non-homogeneous first order differential equations ⋮ Value distribution of exponential polynomials and their role in the theories of complex differential equations and oscillation theory ⋮ On entire function \(e^{p(z)}\int_0^z \beta (t)e^{-p(t)}dt\) with applications to Tumura-Clunie equations and complex dynamics ⋮ Common zeros of the solutions of two differential equations ⋮ A note on complex oscillation theory ⋮ Exponential polynomials in the oscillation theory ⋮ Perturbation results of second order linear differential equations with periodic coefficients ⋮ Complex oscillation of a second-order linear differential equation with entire coefficients of \([p, q-\varphi \) order] ⋮ On the frequency of complex zeros of solutions of certain differential equations ⋮ On solutions of linear differential equations with entire coefficients ⋮ Oscillation results on y″ + Ay = 0 in the complex domain with transcendental entire coefficients which have extremal deficiencies ⋮ Complex oscillation and nonoscillation results ⋮ A note on the oscillation of solutions of periodic linear differential equations ⋮ On the complex oscillation for a class of homogeneous linear differential equations

Cites Work

• On the frequency of zeros of solutions of second order linear differential equations
• Second Order Differential Equations with Transcendental Coefficients
• On the oscillation of solutions of certain linear differential equations in the complex domain
• On the growth of meromorphic solutions of linear and algebraic differential equations.
• [https://portal.mardi4nfdi.de/wiki/Publication:4740850 On the Oscillation Theory of f � � + Af = 0 where A is Entire]
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