scholarly journals Kneser's property of solution families of non-linear Volterra integral equations

1974 ◽  
Vol 50 (4) ◽  
pp. 296-300 ◽  
Author(s):  
Shin-ichi Nakagiri ◽  
Haruo Murakami
Keyword(s):  
Integral Equations ◽  
Volterra Integral Equations ◽  
Non Linear ◽  
Linear Volterra Integral Equations

On a class of Volterra and Fredholm non-linear integral equations

1976 ◽  
Vol 79 (2) ◽  
pp. 329-335 ◽  
Author(s):  
P. J. Bushell
Keyword(s):  
Integral Equations ◽  
Kernel Function ◽  
Existence And Uniqueness ◽  
Volterra Integral Equations ◽  
Fredholm Equations ◽  
Non Linear ◽  
Linear Volterra Integral Equations ◽  
Linear Integral ◽  
Image Position ◽  
Linear Integral Equations

This paper concerns the existence and uniqueness of non-negative solutions of non-linear Volterra integral equations of the typeandwhere the kernel function k(.,.) is non-negative and sufficiently smooth, and either 0 < p < 1 or – 1 < p < 1. We will consider also the corresponding Fredholm equationsand

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