Limit circle criteria for 2nth order differential operators

DOI10.1017/S0013091500004016zbMath0461.34020OpenAlexW2104852121MaRDI QIDQ3910780

Ronald I. Becker

Publication date: 1981

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500004016

zbMATH Keywords

asymptotic expansionsdifferential operatorshigher order equations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) General theory of ordinary differential operators (47E05) Growth and boundedness of solutions to ordinary differential equations (34C11) Ordinary differential operators (34L99)

Cites Work

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• Asymptotics for a class of fourth order differential equations
• Asymptotic behavior of solutions of \((ry^{(m)})^{(k)} \pm qy = 0\)
• ON A LIMIT-CIRCLE CRITERION FOR SECOND-ORDER DIFFERENTIAL OPERATORS
• Estimates of Liouville-Green type for solutions of systems of differential equations
• The limit-4 case of fourth-order self-adjoint differential equations
• THE DEFICIENCY INDEX OF CERTAIN FOURTH-ORDER ORDINARY SELF-ADJOINT DIFFERENTIAL OPERATORS

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