Abstract
A method for constructing exact explicit solutions to problems involving a nonlinear operator B defined as a perturbation of a linear correct operator \(\widehat {A}\) with linear bounded functionals and nonlinear continuous functionals is presented. The technique is general to deal with several kinds of nonlinear problems; it is easily programmable and suitable for large equations. The method is applied here to solve nonlinear integro-differential equations of Fredholm type.
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Parasidis, I.N., Providas, E. (2018). On the Exact Solution of Nonlinear Integro-Differential Equations. In: Rassias, T. (eds) Applications of Nonlinear Analysis . Springer Optimization and Its Applications, vol 134. Springer, Cham. https://doi.org/10.1007/978-3-319-89815-5_21
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DOI: https://doi.org/10.1007/978-3-319-89815-5_21
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