A Problem of Plane Integral Geometry

Mustafa Y?ld?z


In this work we deal with existence, uniqueness and stability of solutions to the two dimensional integral geometry problem for a family of regular curves of given curvature. Here a family of regular curves means that from each point of a domain, a curve of the family passes in any direction.Solvability of the problem is proved by using the method of Galerkin.


Integral geometry; method of Galerkin.

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