Vol. 29 No. 1/2 (1996)

In this paper we consider the following second order nonlinear differential equations:u" + f(t,u) = 0, t≥0Oscillation criteria for the above equation will be established by modification of the method that has been used previously. The results obtained will contain and improve the previous results. Some conditions imposed in the theorem will be less weaker than used before. Tulisan ini membahas persamaan diferensial nonlinear orde dua yang berbentuk:u " + f ( t, u ) = 0, t>0Kriteria oskilasi untuk persamaan di atas dikaji dengan memodifikasi metode yang pernah dilakukan untuk menentukan…

We develop a fundamental property of min-max transitive closure of a dissimilarity, considered as a fuzzry relation, in connection with its subdominant ultrametric. This will enable us firstly to derive a necessary and sufficient condition for the uniqueness of its minimum spanning tree, and secondly to find all possible local minima.Dengan menggunakan relasi samar sebagai sudut pandang, dalam tulisan ini dikembangkan suatu sifat fundamental dari penutup transitif min-maks suatu disimilaritas, dalam hubungannya dengan ultrametrik sub-dominan. Sifat tersebut memungkinkan kita merumuskan dan…