Volterra integral equations: The singular case

Ravi P. Agarwal; Donal O’Regan

doi:10.14492/hokmj/1350657530

Volterra integral equations: The singular case

Ravi P. Agarwal
, Donal O’Regan

Mathematics

Department of Mathematical Sciences

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

6 Citations (Scopus)

Abstract

Positive solutions are established for the Volterra integral equation y(t) = ∫₀^tk(t, s)f(s, y(s))ds, t ϵ [0, T] . Our nonlinearity may be singular at y = 0.

Original language	English
Pages (from-to)	371-381
Number of pages	11
Journal	Hokkaido Mathematical Journal
Volume	32
Issue number	2
DOIs	https://doi.org/10.14492/hokmj/1350657530
Publication status	Published - 2003

Keywords

Lower type inequalities
Positive solution
Singular
Volterra integral equation

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title = "Volterra integral equations: The singular case",

abstract = "Positive solutions are established for the Volterra integral equation y(t) = ∫0tk(t, s)f(s, y(s))ds, t ϵ [0, T] . Our nonlinearity may be singular at y = 0.",

keywords = "Lower type inequalities, Positive solution, Singular, Volterra integral equation",

author = "Agarwal, \{Ravi P.\} and Donal O{\textquoteright}Regan",

year = "2003",

doi = "10.14492/hokmj/1350657530",

language = "English",

volume = "32",

pages = "371--381",

journal = "Hokkaido Mathematical Journal",

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publisher = "Department of Mathematics, Hokkaido University",

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}

TY - JOUR

T1 - Volterra integral equations

T2 - The singular case

AU - Agarwal, Ravi P.

AU - O’Regan, Donal

PY - 2003

Y1 - 2003

N2 - Positive solutions are established for the Volterra integral equation y(t) = ∫0tk(t, s)f(s, y(s))ds, t ϵ [0, T] . Our nonlinearity may be singular at y = 0.

AB - Positive solutions are established for the Volterra integral equation y(t) = ∫0tk(t, s)f(s, y(s))ds, t ϵ [0, T] . Our nonlinearity may be singular at y = 0.

KW - Lower type inequalities

KW - Positive solution

KW - Singular

KW - Volterra integral equation

UR - https://www.scopus.com/pages/publications/49549104294

U2 - 10.14492/hokmj/1350657530

DO - 10.14492/hokmj/1350657530

M3 - Article

SN - 0385-4035

VL - 32

SP - 371

EP - 381

JO - Hokkaido Mathematical Journal

JF - Hokkaido Mathematical Journal

IS - 2

ER -

Volterra integral equations: The singular case

Abstract

Keywords

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