Existence of Global Solutions for Some Classes of Integral Equations

T. Jabeen; R. P. Agarwal; V. Lupulescu; D. O’Regan

doi:10.1007/s11253-018-1492-1

Existence of Global Solutions for Some Classes of Integral Equations

T. Jabeen
, R. P. Agarwal
, V. Lupulescu
, D. O’Regan

Mathematics

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

1 Citation (Scopus)

Abstract

We study the existence of L^p-solutions for a class of Hammerstein integral equations and neutral functional differential equations involving abstract Volterra operators. Using compactness-type conditions, we establish the global existence of solutions. In addition, a global existence result for a class of nonlinear Fredholm functional integral equations involving abstract Volterra equations is given.

Original language	English
Pages (from-to)	142-163
Number of pages	22
Journal	Ukrainian Mathematical Journal
Volume	70
Issue number	1
DOIs	https://doi.org/10.1007/s11253-018-1492-1
Publication status	Published - 1 Jun 2018

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title = "Existence of Global Solutions for Some Classes of Integral Equations",

abstract = "We study the existence of Lp-solutions for a class of Hammerstein integral equations and neutral functional differential equations involving abstract Volterra operators. Using compactness-type conditions, we establish the global existence of solutions. In addition, a global existence result for a class of nonlinear Fredholm functional integral equations involving abstract Volterra equations is given.",

author = "T. Jabeen and Agarwal, \{R. P.\} and V. Lupulescu and D. O{\textquoteright}Regan",

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AU - Jabeen, T.

AU - Agarwal, R. P.

AU - Lupulescu, V.

AU - O’Regan, D.

PY - 2018/6/1

Y1 - 2018/6/1

N2 - We study the existence of Lp-solutions for a class of Hammerstein integral equations and neutral functional differential equations involving abstract Volterra operators. Using compactness-type conditions, we establish the global existence of solutions. In addition, a global existence result for a class of nonlinear Fredholm functional integral equations involving abstract Volterra equations is given.

AB - We study the existence of Lp-solutions for a class of Hammerstein integral equations and neutral functional differential equations involving abstract Volterra operators. Using compactness-type conditions, we establish the global existence of solutions. In addition, a global existence result for a class of nonlinear Fredholm functional integral equations involving abstract Volterra equations is given.

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DO - 10.1007/s11253-018-1492-1

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JO - Ukrainian Mathematical Journal

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IS - 1

ER -

Existence of Global Solutions for Some Classes of Integral Equations

Abstract

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