System of Integral Equations: Constant-Sign Periodic and Almost Periodic Solutions

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 15 in Constant-Sign Solutions of Systems of Integral Equations, 2013, pp 443-480 from Springer

Abstract: Abstract In this chapter we shall consider two systems of Hammerstein integral equations, one is on a real interval I 15.1.1 $$\displaystyle{ u_{i}(t) =\int _{I}g_{i}(t,s)f(s,u_{1}(s),u_{2}(s),\cdots \,,u_{n}(s))ds,\ \ t \in I,\ 1 \leq i \leq n }$$ and the other is on $$\mathbb{R}$$ 15.1.2 $$\displaystyle{ u_{i}(t) =\int _{\mathbb{R}}g_{i}(t,s)f_{i}(s,u_{1}(s),u_{2}(s),\cdots \,,u_{n}(s))ds,\ \ t \in \mathbb{R},\ 1 \leq i \leq n. }$$

Keywords: Periodic Solutions; Hammerstein Integral Equations; Real Interval; Skii Fixed Point Theorem; Constant Sign Solutions (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_15

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DOI: 10.1007/978-3-319-01255-1_15

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