Monotone positive solutions of second-order nonlinear differential equations.

DOI10.1016/S0362-546X(03)00089-0zbMath1034.34045MaRDI QIDQ1395855

Zhaoyang Yin

Publication date: 1 July 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

monotone positive solutionsemi-linear elliptic equationsecond-order nonlinear differential equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Fixed-point theorems (47H10) Nonlinear elliptic equations (35J60) Growth and boundedness of solutions to ordinary differential equations (34C11)

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Cites Work

• Unnamed Item
• Unnamed Item
• Positive solutions of Schrödinger equations in two-dimensional exterior domains
• Global existence of solutions with prescribed asymptotic behavior for second-order nonlinear differential equations
• Positive solutions of quasilinear elliptic equations in exterior domains
• Criteria for oscillatory sublinear Schrödinger equations
• Asymptotic behaviour of solutions of second order nonlinear autonomous differential equations
• Global existence of solutions for perturbed differential equations
• A Note on Tong Paper: The Asymptotic Behavior of a Class of Nonlinear Differential Equations of Second Order
• The Asymptotic Behavior of a Class of Nonlinear Differential Equations of Second Order
• Positive Solutions of Nonlinear Second Order Ordinary Differential Equations
• The Asymptotic Behavior of a Class of Nonlinear Differential Equations
• On the Asymptotic Behavior of Solutions of Second Order Linear Differential Equations
• Positive solutions of quasilinear elliptic equations