Some oscillation theorems for higher order linear differential equations with entire coefficients of small growth

DOI10.1007/BF03323190zbMath0743.34039MaRDI QIDQ1178521

James K. Langley

Publication date: 26 June 1992

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

zbMATH Keywords

linear differential equationentire coefficientszeros with finite exponent of convergence

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (13)

Some results on the complex oscillation for higher order homogeneous linear differential equations ⋮ Oscillation results for n-th order linear differential equations with meromorphic periodic coefficients ⋮ The separation of zeros of solutions of higher order linear differential equations with entire coefficients ⋮ On the oscillation of solutions of certain differential equations ⋮ Common zeros of the solutions of two non-homogeneous first order differential equations ⋮ Bounds for zeros of solutions of second order differential equations with polynomial coefficients ⋮ Common zeros of the solutions of two differential equations ⋮ Entire solutions of differential equations with finite order transcendental entire coefficients ⋮ On solutions of linear differential equations with entire coefficients ⋮ Properties of complex oscillation of solutions of a class of higher order linear differential equations ⋮ The growth of solutions to second-order linear differential equations with meromorphic coefficients ⋮ On complex oscillation theory ⋮ On the hyper-order of solutions to some second-order linear differential equations

Cites Work

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• Second Order Differential Equations with Transcendental Coefficients
• Finite Order Solutions of Second Order Linear Differential Equations
• The Local Growth of Power Series: A Survey of the Wiman-Valiron Method
• [https://portal.mardi4nfdi.de/wiki/Publication:4740850 On the Oscillation Theory of f � � + Af = 0 where A is Entire]
• Some Theorems Related to the cos πρTheorem
• ON A THEOREM OF BESICOVITCH
• [https://portal.mardi4nfdi.de/wiki/Publication:5751153 On the Growth of Solutions of f � � + gf � + hf = 0]

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