DIFFERENtIAl & DIFFERENCE EqUAtIONS ANd APPlICAtIONS
DIFFERENtIAl & DIFFERENCE EqUAtIONS ANd APPlICAtIONS
DIFFERENtIAl & DIFFERENCE EqUAtIONS ANd APPlICAtIONS
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ON AN ESTIMATE FOR THE NUMBER OF SOLUTIONS<br />
OF THE GENERALIZED RIEMANN BOUNDARY<br />
VALUE PROBLEM WITH SHIFT<br />
V. G. KRAVCHENKO, R. C. MARREIROS, AND J. C. RODRIGUEZ<br />
An estimate for the number of linear independent solutions of a generalized Riemann<br />
boundary value problem with the shift α(t) = t + h, h ∈ R, on the real line, is obtained.<br />
Copyright © 2006 V. G. Kravchenko et al. This is an open access article distributed under<br />
the Creative Commons Attribution License, which permits unrestricted use, distribution,<br />
and reproduction in any medium, provided the original work is properly cited.<br />
1. Introduction<br />
In ˜L 2 (R), the real space of all Lebesgue measurable complex valued functions on R with<br />
p = 2 power, we consider the generalized Riemann boundary value problem.<br />
Find functions ϕ + (z)andϕ − (z)analyticinImz>0andImz
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