A note on the zeros of solutions [wacute]+P(z)w= 0 where P is a polynomial

DOI10.1080/00036818708839673zbMath0589.34008OpenAlexW2073112879WikidataQ58244394 ScholiaQ58244394MaRDI QIDQ3717418

Steven B. Bank

Publication date: 1987

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818708839673

zbMATH Keywords

second order differential equationcritical rays

Mathematics Subject Classification ID

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

Related Items (5)

Asymptotic integration theory for \(f + P(z) f = 0\) ⋮ Bounds for zeros of solutions of second order differential equations with polynomial coefficients ⋮ Zeros of eigenfunctions of some anharmonic oscillators ⋮ Localization and perturbation of complex zeros of solutions to second order differential equations with polynomial coefficients. A survey ⋮ Addendum to "a note on the zeros of solutions ofw″+P(z)w=0 wherePis a polynomial

Cites Work

• Eindeutige Lösungen der Differentialgleichung \(w'=R(z,w)\)
• Über Riemannsche Flächen mit endlich vielen Windungspunkten
• On the instability theory of differential polynomials
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