Global existence and asymptotic behavior of solutions of second-order nonlinear differential equations

DOI10.1016/0022-247X(87)90351-9zbMath0644.34011MaRDI QIDQ1102423

Hiroyuki Usami

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemsecond order differential equationssupersolution-subsolution methodelliptic exterior Dirichlet problemSchauder-Tychonov fixed point theorem

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Second-order elliptic equations (35J15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (3)

On the behavior of Kneser solutions of nonlinear ordinary differential equations ⋮ On some second order differential equations with convergent solutions ⋮ On \(t^2\)-like solutions of certain second order differential equations

Cites Work

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• On strongly increasing solutions of nonlinear ordinary differential equations
• Asymptotic behavior of solutions of \(y=\varphi(t)y^\lambda\)
• Existence and asymptotic behavior of proper solutions of a class of second-order nonlinear differential equations
• On the Generalized Emden–Fowler Equation
• Boundary Value Problems for $y = f[x,y,\lambda )$ on $(a,\infty )$

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