On the Bounded Solutions of Volterra Equations
https://doi.org/10.1080/00036810310001632781Publisher, magazine: ,
Publication year: 2004
Lưu Trích dẫn Chia sẻAbstract
We extend the method of sums of commuting operators to the study of the existence and uniqueness of bounded solutions of Volterra equations of the form with bounded f in the infinite dimensional case. The main results are necessary and sufficient conditions for the above equations to have a unique bounded solution with spectrum not intersecting the spectrum of the equation under consideration. Applications are made to illustrate the main results.
Tags: Volterra equations, Sums of commuting operators, Spectrum of functions, Bounded solutions, Periodic solutions, Quasi-periodic solutions, Almost periodic solutions
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