๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Monotone positive solutions of second-order nonlinear differential equations

โœ Scribed by Zhaoyang Yin

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
153 KB
Volume
54
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

โœฆ Synopsis

We obtain an existence theorem for monotone positive solutions of nonlinear second-order ordinary di erential equations by using the Schauder-Tikhonov รฟxed point theorem. The result can also be applied to prove the existence of positive solutions of certain semilinear elliptic equations in R n (n ยฟ 3).

๐Ÿ“œ SIMILAR VOLUMES

Positive Solutions of Second Order Nonli
Positive Solutions of Second Order Nonlinear Differential Equations
โœ Wan-Tong Li ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 140 KB

Necessary and sufficient conditions are obtained for the existence of positive solutions of a nonlinear differential equation. Relations between this equation and an advanced type nonlinear differential equation are also discussed. แฎŠ 1998 Aca- demic Press y t G t . The solutions vanishing in some ne

Positive solutions for second-order nonl
Positive solutions for second-order nonlinear differential equations
โœ Mats Ehrnstrรถm ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 153 KB

We prove the existence of positive solutions to the scalar equation y (x) + F (x, y, y ) = 0. Applications to semilinear elliptic equations in exterior domains are considered.

Positive solutions of some second-order
Positive solutions of some second-order nonlinear singular differential equations
โœ Guang Chong Yang ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 733 KB

With new schemes, the existence of the positive solutions is proved to some secondorder nonlinear singular boundary value problems and initial value problems, which have higher-order singularities.