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On some Leindler's theorem on application of the class NMCS
Rate of approximation summability of Fourier series Classical Analysis and ODEs
2012/4/16
We show the results in the class GM(5b) corresponding to the theorem of L. Leindler [A note on strong approximation of Fourier series, Analysis Mathematica, 29(2003), 195--199] on strong approximation...
Point classification of the second order ODE's by Ruslan Sharipov and its application to Painleve equations
Point classification the second order ODE's Ruslan Sharipov Painleve equations
2012/4/17
This is an review on the point classification of second order ODE's by Ruslan Sharipov. His works were published in 1997-1998 at the Electronic Archive at LANL and undeservedly forgotten. Last chapter...
Bilinear local smoothing estimate and its application to the critical gKdV equation
gKdV equation bilinear local smoothing estimate blow up
2010/11/29
We prove an improved version of bilinear local smoothing estimate to Airy solutions.Using this we study a smoothing property of Duhamel part of nonlinear solutions to the mass-critical
generalized Kd...
Boolean delay equations on networks: An application to economic damage propagation
Boolean delay equations networks economic damage propagation
2010/4/27
We introduce economic models based on Boolean Delay Equations: this formalism makes easier to take into account the complexity of the interactions between firms and is particularly appropriate for stu...