Abstract
We consider the solution of a class of nonlinear Volterra integral equations, , where and the kernel function is finitely decomposable, and derive variation of parameters formulae that provide the solution of corresponding perturbed nonlinear equations. We attain this by relating the integral equations to a certain class of initial value problems for ODEs, for which variation of parameters are also formulated.
Citation
Ephraim O. Agyingi. "On the solution of Volterra integral equations with decomposable kernel functions." J. Integral Equations Applications 34 (2) 135 - 150, Summer 2022. https://doi.org/10.1216/jie.2022.34.135
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