On the Exact Solution of Nonlinear Integro-Differential Equations

I. N. Parasidis (paras@teilar.gr) and E. Providas (providas@teilar.gr)
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I. N. Parasidis: TEI of Thessaly
E. Providas: TEI of Thessaly

A chapter in Applications of Nonlinear Analysis, 2018, pp 591-609 from Springer

Abstract: Abstract A method for constructing exact explicit solutions to problems involving a nonlinear operator B defined as a perturbation of a linear correct operator A ^ $$\widehat {A}$$ 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.

Date: 2018
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DOI: 10.1007/978-3-319-89815-5_21

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