Generalized solution to a non Lipschitz integral equation. (English) Zbl 1293.45002

Dévoué, Victor

J. Integral Equations Appl. 25, No. 4, 455-480 (2013).

In this interesting paper the author studies a non-Lipschitz integral equation in the framework of generalized functions. The paper contains definitions, prepositions, theorems, examples and an extensive list of 20 references. It also contains an appendix using the method of successive approximations to establish the existence and uniqueness of a solution of the integral equation.

Reviewer: K. C. Gupta (Jaipur)

MSC:

45G10	Other nonlinear integral equations
46F30	Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.)
46T30	Distributions and generalized functions on nonlinear spaces
45L05	Theoretical approximation of solutions to integral equations

Keywords:

non-Lipschitz integral equations; algebra of generalized functions; nonlinear problems; method of successive approximations

References:

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