On a class of Volterra and Fredholm non-linear integral equations-Reference-Cited by-同舟云学术

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

Published:1976-03 Issue:2 Volume:79 Page:329-335
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Bushell P. J.

Abstract

This paper concerns the existence and uniqueness of non-negative solutions of non-linear Volterra integral equations of the type

and

where 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 equations

and

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. Positive solutions of a nonlinear integral equation

2. (5) Peletier L. A. Private communication.

3. On the integral equation κf = 1f arising in a problem in communication

4. On a Theorem of P. Nowosad

5. Existence theorem for a non-linear integral equation;Potter;J. Lond. Math. Soc.

Cited by 52 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Uniqueness and existence of positive periodic solutions of functional differential equations;AIMS Mathematics;2023

2. New results of positive doubly periodic solutions to telegraph equations;Electronic Research Archive;2022

3. Numerical Method for the Time-Fractional Porous Medium Equation;SIAM Journal on Numerical Analysis;2019-01

4. Non-Lipschitz Homogeneous Volterra Integral Equations;Understanding Complex Systems;2018-11-30

5. Numerical method for Volterra equation with a power-type nonlinearity;Applied Mathematics and Computation;2018-11