4 papers
On the Riemann integrability of the norm of a path in normed spaces
Borys Álvarez-Samaniego, Wilson P. Álvarez-Samaniego, Luis Rivera
A useful result is that if a bounded complex-valued path is Riemann-integrable, then its modulus is also Riemann-integrable. The extension of this last result to bounded paths taki…
On an adjustment to the Fowler equation
Borys Álvarez-Samaniego, Wilson P. Álvarez-Samaniego, Kevin Lloacana-Unda
Following closely the analysis performed by Andrew C. Fowler to derive the first canonical equation for nonlinear dune dynamics, but considering some appropriate changes of variabl…
Countable ordinal spaces and compact countable subsets of a metric space
Borys Álvarez-Samaniego, Andrés Merino
We show in detail that every compact countable subset of a metric space is homeomorphic to a countable ordinal number, which extends a result given by Mazurkiewicz and Sierpinski f…
Comment on "Orbital stability of solitary wave solutions for an interaction equation of short and long dispersive waves"
Borys Alvarez-Samaniego
J. Angulo and J. F. Montenegro (J. Differential Equations 174 (2001), no. 1, 181-199) published a paper about nonlinear stability of solitary waves for an interaction system betwee…