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math.CA2005
The Overdeterminedness of a Class of Functional Equations
Orr Shalit
We prove a uniqueness theorem for a large class of functional equations in the plane, which resembles in form a classical result of Aczel. It is also shown that functional equation…
math.DS2005★ 3 cited
Guided Dynamical Systems and Applications to Functional and Partial Differential Equations
Orr Shalit
In this thesis we introduce the concept of a guided dynamical system, and exploit this idea to solve various problems in functional equations and PDE's. Our main results are 1) a n…