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System of Fredholm Integral Equations: Solutions in Orlicz Space

Ravi P. Agarwal, Donal O’Regan and Patricia J. Y. Wong
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Ravi P. Agarwal: Texas A&M University – Kingsville, Department of Mathematics
Donal O’Regan: National University of Ireland, Galway, School of Mathematics, Statistics and Applied Mathematics
Patricia J. Y. Wong: Nanyang Technological University, School of Electrical & Electronic Engineering

Chapter Chapter 16 in Constant-Sign Solutions of Systems of Integral Equations, 2013, pp 481-504 from Springer

Abstract: Abstract Let $$x = {(x_{1},x_{2},\cdots \,,x_{N})}^{T}$$ and $$y = {(y_{1},y_{2},\cdots \,,y_{N})}^{T}$$ be in $${\mathbb{R}}^{N}.$$ Throughout, by x ≥ y we shall mean $$x_{i} \geq y_{i}$$ for each 1 ≤ i ≤ N. Similarly, if $$x,y \in {\mathbb{R}}^{N\times N}$$ (real N × N matrices), then x ≥ y also means inequality in the componentwise sense.

Keywords: Orlicz Spaces; Componentwise Sense; Constant Sign Solutions; Skii Fixed Point Theorem; Semipositone (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-01255-1_16

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DOI: 10.1007/978-3-319-01255-1_16

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