A class of function spaces and its application in solving second-order nonlinear differential equations

Zihua Guo; Zhaoyang Yin

doi:10.1016/j.na.2010.12.028

A class of function spaces and its application in solving second-order nonlinear differential equations

Zihua Guo, Zhaoyang Yin

Research output: Contribution to journal › Article › Research › peer-review

Abstract

In this paper, we prove an existence theorem for time global monotone positive solutions of nonlinear second-order ordinary differential equations by applying the SchauderTikhonov fixed point theorem. This result generalizes the result of existence on a half-line given in Yin (2003) [8].

Original language	English
Pages (from-to)	2750 - 2757
Number of pages	8
Journal	Nonlinear Analysis
Volume	74
Issue number	7
DOIs	https://doi.org/10.1016/j.na.2010.12.028
Publication status	Published - 2011
Externally published	Yes

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title = "A class of function spaces and its application in solving second-order nonlinear differential equations",

abstract = "In this paper, we prove an existence theorem for time global monotone positive solutions of nonlinear second-order ordinary differential equations by applying the SchauderTikhonov fixed point theorem. This result generalizes the result of existence on a half-line given in Yin (2003) [8].",

author = "Zihua Guo and Zhaoyang Yin",

year = "2011",

doi = "10.1016/j.na.2010.12.028",

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AU - Guo, Zihua

AU - Yin, Zhaoyang

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AB - In this paper, we prove an existence theorem for time global monotone positive solutions of nonlinear second-order ordinary differential equations by applying the SchauderTikhonov fixed point theorem. This result generalizes the result of existence on a half-line given in Yin (2003) [8].

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DO - 10.1016/j.na.2010.12.028

M3 - Article

SN - 0362-546X

VL - 74

SP - 2750

EP - 2757

JO - Nonlinear Analysis

JF - Nonlinear Analysis

IS - 7

ER -

A class of function spaces and its application in solving second-order nonlinear differential equations

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