System of Volterra Integral Equations: Constant-Sign Solutions in Orlicz Spaces

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 17 in Constant-Sign Solutions of Systems of Integral Equations, 2013, pp 505-537 from Springer

Abstract: Abstract In this chapter we shall consider the system of Volterra integral equations 17.1.1 $$\displaystyle{ u_{i}(t) =\int _{ 0}^{t}g_{ i}(t,s)f_{i}(s,u_{1}(s),u_{2}(s),\cdots \,,u_{n}(s))ds,\ \ a.e.\ t \in [0,T],\ 1 \leq i \leq n. }$$

Keywords: Volterra Integral Equation; Constant Sign Solutions; Orlicz Spaces; Skii Fixed Point Theorem; Single-valued Nonlinear Mapping (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-3-319-01255-1_17

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