Applications to Integral Equations

Józef Banaś () and Mohammad Mursaleen ()
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Józef Banaś: Rzeszów University of Technology, Department of Mathematics
Mohammad Mursaleen: Aligarh Muslim University, Department of Mathematics

Chapter Chapter 8 in Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations, 2014, pp 263-310 from Springer

Abstract: Abstract This chapter is devoted to present some results concerning both the theory of nonlinear integral equations in some Banach spaces and a few existence results concerning infinite systems of integral equations in some sequence spaces. More precisely, we will consider certain results concerning the solvability of a quadratic integral equation of Volterra type and an integral of Volterra–Stieltjes type. In our considerations we will apply some measures of noncompactness described in Chap. 5 . We investigate also the solvability of infinite systems of integral equations of both types indicated above.

Keywords: Integral equation; Global attractivity of solutions; Local attractivity of solutions; Asymptotic stability; Quadratic integral equation of Volterra type; Measure of noncompactness; Infinite system of integral equations; Semilinear upper diagonal infinite system of integral equations; Integral equation of Volterra–Stieltjes type; Riemann–Stieltjes integral; Function of bounded variation; Riemann–Liouville fractional integral; Integral equation of fractional order; Infinite system of Volterra–Stieltjes integral equations (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-1886-9_8

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DOI: 10.1007/978-81-322-1886-9_8

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