On a Nonlinear Volterra-Fredholm Integral Equation

Authors

  • B. G. Pachpatte 57 Shri Niketan Colony, Near Abhinay Talkies, Aurangabad (Maharashtra), India

DOI:

https://doi.org/10.5644/SJM.04.1.06

Keywords:

Volterra-Fredholm integral equation, Banach fixed point theorem, integral inequality, Bielecki type norm, existence and uniqueness, estimates on solutions, continuous dependence

Abstract

In this paper we study the existence, uniqueness and other properties of solutions of a certain nonlinear Volterra-Fredholm integral equation. The well known Banach fixed point theorem and the new integral inequality with explicit estimate are used to establish the results.

 

2000 Mathematics Subject Classification. 34K10, 35R10

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References

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Published

11.06.2024

How to Cite

Pachpatte, B. G. (2024). On a Nonlinear Volterra-Fredholm Integral Equation. Sarajevo Journal of Mathematics, 4(1), 61–71. https://doi.org/10.5644/SJM.04.1.06

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