Resonant nonlinear singular problems in the limit circle case

Donal O'Regan

doi:10.1007/BF01194217

Resonant nonlinear singular problems in the limit circle case

Donal O'Regan

Mathematics

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

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Abstract

Existence results are presented for the "resonant" singular boundary value problem 1/p(py′)′ + λ_mqy = f(t, y) a.e. on [0, 1] with lim_t→0+ py′ = y(1) = 0. Here we do not assume ∫¹₀ ds/p(s) < ∞ but only that ∫¹₀ 1/p(s) (∫^s₀ p(x)q(x)dx)^1/2 ds < ∞.

Original language	English
Pages (from-to)	55-77
Number of pages	23
Journal	Nonlinear Differential Equations and Applications NoDEA
Volume	3
Issue number	1
DOIs	https://doi.org/10.1007/BF01194217
Publication status	Published - 1996

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title = "Resonant nonlinear singular problems in the limit circle case",

abstract = "Existence results are presented for the {"}resonant{"} singular boundary value problem 1/p(py′)′ + λmqy = f(t, y) a.e. on [0, 1] with limt→0+ py′ = y(1) = 0. Here we do not assume ∫10 ds/p(s) < ∞ but only that ∫10 1/p(s) (∫s0 p(x)q(x)dx)1/2 ds < ∞.",

author = "Donal O'Regan",

year = "1996",

doi = "10.1007/BF01194217",

language = "English",

volume = "3",

pages = "55--77",

journal = "Nonlinear Differential Equations and Applications NoDEA",

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publisher = "Birkhauser Verlag Basel",

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T1 - Resonant nonlinear singular problems in the limit circle case

AU - O'Regan, Donal

PY - 1996

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N2 - Existence results are presented for the "resonant" singular boundary value problem 1/p(py′)′ + λmqy = f(t, y) a.e. on [0, 1] with limt→0+ py′ = y(1) = 0. Here we do not assume ∫10 ds/p(s) < ∞ but only that ∫10 1/p(s) (∫s0 p(x)q(x)dx)1/2 ds < ∞.

AB - Existence results are presented for the "resonant" singular boundary value problem 1/p(py′)′ + λmqy = f(t, y) a.e. on [0, 1] with limt→0+ py′ = y(1) = 0. Here we do not assume ∫10 ds/p(s) < ∞ but only that ∫10 1/p(s) (∫s0 p(x)q(x)dx)1/2 ds < ∞.

UR - https://www.scopus.com/pages/publications/0041664144

U2 - 10.1007/BF01194217

DO - 10.1007/BF01194217

M3 - Article

SN - 1021-9722

VL - 3

SP - 55

EP - 77

JO - Nonlinear Differential Equations and Applications NoDEA

JF - Nonlinear Differential Equations and Applications NoDEA

IS - 1

ER -

Resonant nonlinear singular problems in the limit circle case

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