Displaying similar documents to “Existence of positive solutions for multiterm fractional differential equations of finite delay with polynomial coefficients.”

On some BK spaces.

De Malafosse, Bruno (2003)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Fractional BVPs with strong time singularities and the limit properties of their solutions

Svatoslav Staněk (2014)

Open Mathematics

Similarity:

In the first part, we investigate the singular BVP d d t c D α u + ( a / t ) c D α u = u , u(0) = A, u(1) = B, c D α u(t)|t=0 = 0, where is a continuous operator, α ∈ (0, 1) and a < 0. Here, c D denotes the Caputo fractional derivative. The existence result is proved by the Leray-Schauder nonlinear alternative. The second part establishes the relations between solutions of the sequence of problems d d t c D α n u + ( a / t ) c D α n u = f ( t , u , c D β n u ) , u(0) = A, u(1) = B, c D α n u ( t ) t = 0 = 0 where a < 0, 0 < β n ≤ α n < 1, limn→∞ β n = 1, and solutions of u″+(a/t)u′ = f(t,...

Distortion mismatch in the quantization of probability measures

Siegfried Graf, Harald Luschgy, Gilles Pagès (2008)

ESAIM: Probability and Statistics

Similarity:

We elucidate the asymptotics of the -quantization error induced by a sequence of -optimal -quantizers of a probability distribution on d when . In particular we show that under natural assumptions, the optimal rate is preserved as long as (and for every in the case of a compactly supported distribution). We derive some applications of these results to the error bounds for quantization based cubature formulae in numerical integration on d and on the Wiener space.