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Let M be a cg-connected manifold. Let L be a second-order
differential operator with real cg(R) coefficients on M and such that L1 0 (i.e., L
has no zero-order term). Assume that there exists a posi...
A NOTE ON SOME CAUCHY PROBLEMS WITH NONLOCAL CONDITIONS
integral solutions integrated semigroups mild solutions Cauchy Problem nonlocal conditions intermediate Banach spaces
2008/11/26
In this short note we prove the existence and uniqueness of solutions to semilinear
differential equations with nonlocal conditions in a Banach space, first in the case of a
nondensely defined opera...
A NOTE ON LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS INVOLVING THE GAMMA FUNCTIONS
completely monotonic function logarithmically completely monotonic function gamma function
2008/11/25
The function (x=e)x
G(x+1=2) strictly logarithmically completely monotonic on (0;¥) is
proved and an alternative proof of the function [G(x+1)]1=x
x ¡1+ 1x
¢x strictly logarithmical...
A note on the l´evy constant for continued fractions
Continued fractions l´ evy constant Hausdorff dimension
2010/2/25
In this note, we study the l´evy constant of continued fraction expansions. We show that for all x ∈ [0, 1),
the upper l´evy constant of x is finite except a set with Hausdorff dimension ...
A NOTE ON WEAKLY ISOTONE MAPS AND COMMON SOLUTIONS FOR DIFFERENTIAL SYSTEMS
Weakly isotone maps Differential equations Common solutions
2007/12/12
In this short note we examine the connection between weakly isotone maps and common solutions for first order Cauchy problems in ${\Bbb R}^n$ and, as a rule, in Banach lattices.