# Volterra Integral Equations: Candid Appreciation

Keywords:
Nonlinear, Linear, Second Type, First Type, Volterra Integral Equations

### Abstract

Volterra integral equations have many applications in various disciplines of sciences that has

attracted the attention of several mathematicians and scientists who work have worked in the

areas in which these equations appear. Hence, it is worth to study these equations from its

theoretical point of view due to its significance and broadly usage of these equations in

numerous fields of mathematics. In this research study, the first and the second kind of Volterra

integral equations have been defined. The research study summarizes some of the basic concepts

and results of these equations and are discussed theoretically.

### References

Corduneanu C. (1991). "Integral Equations and Applications". Cambridge University Press, UK, pp. 1-4.

Issaka, I., Obeng-Denteh,W., Mensah, P. A. A., Poku, E.S. (2016) Using Homotopy Analysis Method for solving Volterra Integral Equations of the Second Kind, Theoretical Mathematics & Applications, 6(3):85- 100

Obeng-Denteh, W. (2015) Lecture Notes on Integral Equations, Department of Mathematics, KNUST, Kumasi, Ghana

Poltnikov, A. V. & Skripnik, N. V., (2013), "Existence and Uniqueness Theorem for Set-Valued Volterra Integral Equations". American Journal of Applied Mathematics and Statistics, vol. 1, no. 3, pp. 41-45.

Polyanin, A. D. & Manzhirov, A. V. (2008). "Handbook of Integral Equations", 2nd Edition, Chapman & Hall/CRC, USA, pp. 1-5, 519-567.

Rahman M., (2007). “Integral Equations and Their Applications”. WIT Press, Great Britain, pp. 1-40, 97-102.

Wazwaz, A.- M (2011).” Linear and Nonlinear Integral Equations: Methods and Applications”. Higher Education Press, Beijing and Springer - Verlag Berlin Heidelberg, New York, USA, pp. 65-118, 311-327, 387-423.

Issaka, I., Obeng-Denteh,W., Mensah, P. A. A., Poku, E.S. (2016) Using Homotopy Analysis Method for solving Volterra Integral Equations of the Second Kind, Theoretical Mathematics & Applications, 6(3):85- 100

Obeng-Denteh, W. (2015) Lecture Notes on Integral Equations, Department of Mathematics, KNUST, Kumasi, Ghana

Poltnikov, A. V. & Skripnik, N. V., (2013), "Existence and Uniqueness Theorem for Set-Valued Volterra Integral Equations". American Journal of Applied Mathematics and Statistics, vol. 1, no. 3, pp. 41-45.

Polyanin, A. D. & Manzhirov, A. V. (2008). "Handbook of Integral Equations", 2nd Edition, Chapman & Hall/CRC, USA, pp. 1-5, 519-567.

Rahman M., (2007). “Integral Equations and Their Applications”. WIT Press, Great Britain, pp. 1-40, 97-102.

Wazwaz, A.- M (2011).” Linear and Nonlinear Integral Equations: Methods and Applications”. Higher Education Press, Beijing and Springer - Verlag Berlin Heidelberg, New York, USA, pp. 65-118, 311-327, 387-423.

Published

2018-12-30

Section

Articles