A general existence theorem for the singular equation (φp(y′))′ + f(t, y) = 0

Haishen Lü; Donal O'Regan

doi:10.7153/mia-05-09

A general existence theorem for the singular equation (φ_p(y′))′ + f(t, y) = 0

Haishen Lü
, Donal O'Regan

Mathematics

Second Hospital of Lanzhou University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

9 Citations (Scopus)

Abstract

Some theorems concerning the existence of positive solution for the singular equation (φ_p(y′))′ + f(t, y) = 0, y(0) = y(1) = 0, are established. The results are obtained using the lower-upper solution approach.

Original language	English
Pages (from-to)	69-78
Number of pages	10
Journal	Mathematical Inequalities and Applications
Volume	5
Issue number	1
DOIs	https://doi.org/10.7153/mia-05-09
Publication status	Published - Jan 2002

Keywords

Lower-upper solution method
One-dimensional singular equation
Positive solution

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abstract = "Some theorems concerning the existence of positive solution for the singular equation (φp(y′))′ + f(t, y) = 0, y(0) = y(1) = 0, are established. The results are obtained using the lower-upper solution approach.",

keywords = "Lower-upper solution method, One-dimensional singular equation, Positive solution",

author = "Haishen L{\"u} and Donal O'Regan",

year = "2002",

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AU - O'Regan, Donal

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N2 - Some theorems concerning the existence of positive solution for the singular equation (φp(y′))′ + f(t, y) = 0, y(0) = y(1) = 0, are established. The results are obtained using the lower-upper solution approach.

AB - Some theorems concerning the existence of positive solution for the singular equation (φp(y′))′ + f(t, y) = 0, y(0) = y(1) = 0, are established. The results are obtained using the lower-upper solution approach.

KW - Lower-upper solution method

KW - One-dimensional singular equation

KW - Positive solution

UR - https://www.scopus.com/pages/publications/0036462112

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DO - 10.7153/mia-05-09

M3 - Article

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SN - 1331-4343

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JF - Mathematical Inequalities and Applications

IS - 1

ER -

A general existence theorem for the singular equation (φ_p(y′))′ + f(t, y) = 0

Abstract

Keywords

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