liable mode of treating cases of snake-bite. In investigations regarding the action of drugs of a complex nature, it frequently occurs that the physiological action of the drug, considered as a whole, differs from its isolated constituents. Thus, while opium is narcotic, thebaia, one of its constituents, is purely excitant, and in doses of one grain causes tetanic spasms (Farquharson). The expe...

*We have benefited from discussions with Stefan Dercon, Francis Teal and Sharada Weir. However, usual disclaimers apply.

The aim of the present paper is to obtain a number of Kuhn-Tucker type sufficient optimality conditions for a feasible solution to be an efficient solution under the assumptions of the new notions of weak strictly pseudo quasi α-univex, strong pseudo quasi α-univex, and weak strictly pseudo α-univex vector valued functions. We also derive the duality theorems for Mond-Weir and general Mond-Wei...

We characterize, using the Bergman kernel, Carleson measures of Bergman spaces in strongly pseudoconvex bounded domains in C, generalizing to this setting theorems proved by Duren and Weir for the unit ball. We also show that uniformly discrete (with respect to the Kobayashi distance) sequences give examples of Carleson measures, and we compute the speed of escape to the boundary of uniformly d...

For the purpose of understanding mechanism grain refinement in cast metal by mechanical vibration, demonstration tests were conducted using an ammonium chloride solution. Ammonium solution and molds with various shape prepared for water model experiment. In case open mold, crystals crystallized on mold wall grew toward center without vibration. However, when vibration was applied, countless gen...

⎯In this paper, we construct a pair of Mond-Weir type second order symmetric dual problems, in which the objective function contains support function and is, therefore, nondifferentiable. For this pair of problems, we validate weak, strong and converse duality theorems under pseudobonvexity – pseudoboncavity assumption on the kernel function that appears in the problems. A second order self dua...

Fritz John and Kuhn-Tucker type necessary optimality conditions for a Pareto optimal (efficient) solution of a multiobjective control problem are obtained by first reducing the multiobjective control problem to a system of single objective control problems, and then using already established optimality conditions. As an application of Kuhn-Tucker type optimality conditions, Wolfe and Mond-Weir ...