Suchergebnisse

ABSTRACTCharacterization of unacceptable solutions for linear programming (LP) discriminant models have been discussed in the literature and the results presented so far are not satisfactory. This paper establishes necessary and sufficient conditions of unacceptable solutions for a number of LP models, addresses the practical implications of these conditions, and discusses the relationship between unacceptable solutions and multiple solutions.

Nous donnons la forme générale de la condition suffisante de stabilité dynamique par rapport aux perturbations radiales. Une expression particulière de cette condition est que Γ1 > 4/3 en tout point de l'étoile.

"Very recently, Frasin [7] introduced the differential operator
$\mathcal{I}_{m,\lambda }^{\zeta }f(z)$ defined as
\begin{equation*}
\mathcal{I}_{m,\lambda }^{\zeta }f(z)=z+\sum\limits_{n=2}^{\infty }\left(
1+(n-1)\sum\limits_{j=1}^{m}\binom{m}{j}(-1)^{j+1}\lambda ^{j}\right)
^{\zeta }a_{n}z^{n}.
\end{equation*}
The current work contributes to give an application of the differential
operator $\mathcal{I}_{m,\lambda }^{\zeta }f(z)$ to the differential
inequalities in the complex plane."

To obtain the main result of the present paper we use the technique of differential subordination. As special cases of our main result, we obtain sufficient conditions for $f\in\mathcal A$ to be $\phi-$like, starlike and close-to-convex in a parabolic region.