Degenerate kernel schemes by wavelets for nonlinear integral equations on the real line

1995 ◽  
Vol 59 (1-4) ◽  
pp. 163-184 ◽  
Author(s):  
Zuowei Shen ◽  
Yuesheng Xut
Keyword(s):  
Integral Equations ◽  
Real Line ◽  
Degenerate Kernel ◽  
Nonlinear Integral Equations ◽  
The Real

scholarly journals Solvability of an infinite system of integral equations on the real half-axis

2020 ◽  
Vol 10 (1) ◽  
pp. 202-216
Author(s):  
Józef Banaś ◽  
Weronika Woś
Keyword(s):  
Integral Equations ◽  
Measure Of Noncompactness ◽  
Infinite System ◽  
Main Tool ◽  
Supremum Norm ◽  
Nonlinear Integral Equations ◽  
Measures Of Noncompactness ◽  
System Of Integral Equations ◽  
The Real ◽  
Half Axis

Abstract The aim of the paper is to investigate the solvability of an infinite system of nonlinear integral equations on the real half-axis. The considerations will be located in the space of function sequences which are bounded at every point of the half-axis. The main tool used in the investigations is the technique associated with measures of noncompactness in the space of functions defined, continuous and bounded on the real half-axis with values in the space l∞ consisting of real bounded sequences endowed with the standard supremum norm. The essential role in our considerations is played by the fact that we will use a measure of noncompactness constructed on the basis of a measure of noncompactness in the mentioned sequence space l∞. An example illustrating our result will be included.

scholarly journals On the Solvability of Second Kind Integral Equations on the Real Line

2000 ◽  
Vol 245 (1) ◽  
pp. 28-51 ◽  
Author(s):  
Simon N. Chandler-Wilde ◽  
Bo Zhang ◽  
Chris R. Ross
Keyword(s):  
Integral Equations ◽  
Real Line ◽  
The Real
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