Abstract
In this chapter we investigate generalized Volterra integral equations. They are described different methods for finding a solution as an infinite series such as: the Adomian decomposition method, the modified decomposition method, the noise terms phenomenon, the differential equations method and the successive iterations method. It is given a procedure for conversion of generalized Volterra integral equations of the first kind to generalized Volterra integral equations of the second kind. They are provided existence and uniqueness of the solution.
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Georgiev, S.G. (2016). Generalized Volterra Integral Equations. In: Integral Equations on Time Scales. Atlantis Studies in Dynamical Systems, vol 5. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-228-1_3
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DOI: https://doi.org/10.2991/978-94-6239-228-1_3
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Publisher Name: Atlantis Press, Paris
Print ISBN: 978-94-6239-227-4
Online ISBN: 978-94-6239-228-1
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