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We prove necessary and sufficient conditions for Ψ − (uniform) stability of the trivial solution of a nonlinear Lyapunov matrix differential equation. But the obtained results in
played by the zeros of orthogonal polynomials on the real line is now played by the zeros of para-orthogonal polynomials, and the Gaussian formulas by the Szego formulas, see,
We will prove the twice continuous differentiability of these two different kinds of ruin probability and present their explicit expressions when the claims are
(2.3)) and reduction factors derived from the projected forces of mortality based on the 6-parameter log-link model for male and female immediate annuitants.. For consistency with
The following crop characteristics were similar between cultivars: extinction coefficient (increased with development stage), dynamics of nitrogen distribution, partitioning
Although the variance of log income and the coefficient of variation are often regraded as equivalent measures of dispersion, they differ because of the weight assigned to the
We observe that for an increase in wage uncertainty to result in more (less) labor put out, it is sufficient that the agent’s first-order condition is convex (concave) in the
In these explants the abscission zone cells showed features similar to those in the normally abscising genotype consistent with a degree of wall breakdown sufficient for cell