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ISSN : 1226-0657
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Vol.6 No.2
Abstract
In this paper, we introduce the notion of separable-like function, investigate some properties of separable-like functions, and characterize the Pettis integrability of function on a finite perfect measure space.
Abstract
We introduce a new class of functions <TEX>$H_{k}[A,{\;}B]$</TEX> described by subordination and we derive a few geometric properties for the class <TEX>$H_{k}[A,{\;}B]$</TEX>.
Abstract
In this paper we study periodic orbit of some planar control systems and investigate phase portraits of the FSs.
Abstract
A holomorphic function f on D = {z : │z│ ＜ 1} is called uniformly locally univalent if there exists a positive constant <TEX>$\rho$</TEX> such that f is univalent in every hyperbolic disk of hyperbolic radius <TEX>$\rho$</TEX>. We establish a characterization of uniformly locally univalent functions and investigate uniform local univalence of holomorphic universal covering projections.
Abstract
In this paper, when N is a compact Riemannian manifold, we discuss the method of using warped products to construct timelike or null future complete Lorentzian metrics on <TEX>$M{\;}={\;}[\alpha,\infty){\times}_f{\;}N$</TEX> with specific scalar curvatures.
Abstract
We find some conditions under which G(f)-sequence of a CW-pair (X, A) is exact. And we also introduce a G(f)-sequence for a CW-triple (X, A, B) and examine when the sequence is exact.
Abstract
This paper studies the problem of an infinite confined aquifer which at time t ＜ 0 is assumed motionless. At time t = 0 crude oil seeps into the aquifer, thereby contaminating the valuable drinking water. Since the crude oil and water are im-miscible, the problem is posed as a one-dimensional two-phase unsteady moving boundary problem. A similarity solution is developed in which the moving front parameter is obtained by Newton-Ralphson iteration. A numerical scheme, involving the front tracking method, is devised employing the fourth order Runge-Kutta method. Comparison of the exact and numerical schemes shows an error of only 3%. Thus the developed numerical scheme is quite accurate in tackling more realistic problems where exact solutions are not possible.
Abstract
We can get the Pascal's matrix of order n by taking the first n rows of Pascal's triangle and filling in with 0's on the right. In this paper we obtain some well known combinatorial identities and a factorization of the Stirling matrix from the Pascal's matrix.