Singular boundary value problems

L. E. Bobisud; D. O'regan; W. D. Royalty

doi:10.1080/00036818608839643

Singular boundary value problems

L. E. Bobisud
, D. O'regan
, W. D. Royalty

University of Idaho

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

35 Citations (Scopus)

Abstract

The topological transversality theorem is employed to study existence and uniqueness of solutions to the singular boundary value problem ψ(t)y' (t) = f(t,y(t)), y(0) = a, y(1) = b, where ψ may vanish at 0 provided ∫ 0 1(l/ψ(s))sds <; ∞,Thus the Thomas-Fermi and singular Emden-Fowler equations are included.

Original language	English
Pages (from-to)	233-243
Number of pages	11
Journal	Applicable Analysis
Volume	23
Issue number	3
DOIs	https://doi.org/10.1080/00036818608839643
Publication status	Published - 1 Dec 1986
Externally published	Yes

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title = "Singular boundary value problems",

abstract = "The topological transversality theorem is employed to study existence and uniqueness of solutions to the singular boundary value problem ψ(t)y' (t) = f(t,y(t)), y(0) = a, y(1) = b, where ψ may vanish at 0 provided ∫ 0 1(l/ψ(s))sds <; ∞,Thus the Thomas-Fermi and singular Emden-Fowler equations are included.",

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AU - Bobisud, L. E.

AU - O'regan, D.

AU - Royalty, W. D.

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N2 - The topological transversality theorem is employed to study existence and uniqueness of solutions to the singular boundary value problem ψ(t)y' (t) = f(t,y(t)), y(0) = a, y(1) = b, where ψ may vanish at 0 provided ∫ 0 1(l/ψ(s))sds <; ∞,Thus the Thomas-Fermi and singular Emden-Fowler equations are included.

AB - The topological transversality theorem is employed to study existence and uniqueness of solutions to the singular boundary value problem ψ(t)y' (t) = f(t,y(t)), y(0) = a, y(1) = b, where ψ may vanish at 0 provided ∫ 0 1(l/ψ(s))sds <; ∞,Thus the Thomas-Fermi and singular Emden-Fowler equations are included.

UR - https://www.scopus.com/pages/publications/84972990675

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DO - 10.1080/00036818608839643

M3 - Article

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VL - 23

SP - 233

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JO - Applicable Analysis

JF - Applicable Analysis

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ER -

Singular boundary value problems

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