On the nonlinear limit-point/limit-circle problem

DOI10.1016/0362-546X(83)90062-7zbMath0535.34023MaRDI QIDQ3319068

Paul W. Spikes, John R. Graef

Publication date: 1983

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

oscillationboundednesslimit cyclelimit pointlimit circle

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (10)

Limit-point type results for nonlinear fourth-order differential equations ⋮ Nonlinear limit-point type solutions of \(n\)th order differential equations ⋮ Some Limit-point and Limit-circle Results for Second Order Emden–Fowler Equations ⋮ Limit-point type solutions of nonlinear differential equations ⋮ On the oscillatory behavior of a third order nonlinear differential equation ⋮ Limit-point/limit-circle results for equations with damping ⋮ On L²and limit-point type solutions of fourth order differential equations ⋮ Limit circle/limit point criteria for second-order superlinear differential equations with a damping term ⋮ Limit circle/limit point criteria for second-order sublinear differential equations with damping term ⋮ Limit-point/limit-circle results for superlinear damped equations

Cites Work

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• Limit circle type results for sublinear equations
• Limit circle criteria and related properties for nonlinear equations
• Limit circle results for second order equations
• The deficiency index problem for powers of ordinary differential expressions
• Nonlinear extensions of limit-point criteria
• Remarks on a theorem of A. Wintner
• On the integrability of solutions of perturbed non-linear differential equations
• Criteria of Limit Circle Type for Nonlinear Differential Equations
• Extension of a Theorem of A. Wintner
• On the non-existence of L² solutions of a class of non-linear differential equations
• On the nonexistence of L^p solutions of certain nonlinear differential equations
• On the Whittaker Functions W_km (x )

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