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ISSN : 1226-0657
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Vol.17 No.3
Abstract
We introduce the notions of sg-semiopen set and other kinds of generalized sg-open sets and we investigate some properties for such generalized sg-open sets.
Abstract
We introduce the concept of semi-compatible and weak-compatible in <TEX>$\cal{M}$</TEX>-fuzzy metric space, and prove some fixed point theorem for four self maps satisfying some conditions in <TEX>$\cal{M}$</TEX>-fuzzy metric space.
Abstract
Various types of predator-prey systems are studied in terms of the stabilities of their steady-states. Necessary conditions for the existences of non-negative constant steady-states for those systems are obtained. The linearized stabilities of the non-negative constant steady-states for the predator-prey system with monotone response functions are analyzed. The predator-prey system with non-monotone response functions are also investigated for the linearized stabilities of the positive constant steady-states.
Abstract
In this paper, we investigate the generalized Hyers-Ulam stability of a bi-Jensen functional equation <TEX>$4f(\frac{x\;+\;y}{2},\;\frac{z\;+\;w}{2})$</TEX> = f(x, z) + f(x, w) + f(y, z) + f(y, w). Also, we establish improved results for the stability of a bi-Jensen equation on the punctured domain.
Abstract
We research the properties of solutions of general higher order homogeneous linear differential equations and apply the hyper order to obtain more precise estimation for the growth of solutions of infinite order.
Abstract
We investigate the existence of the following Dirichlet boundary value problem <TEX>$({\mid}u'\mid^{p-2}u')'\;+\;(p\;-\;1)[\alpha{\mid}u^+\mid^{p-2}u^+\;-\;\beta{\mid}u^-\mid^{p-2}u^-]$</TEX> = (p - 1)h(t), u(0) = u(T) = 0, where p > 1, <TEX>$\alpha$</TEX> > 0, <TEX>$\beta$</TEX> > 0 and <TEX>${\alpha}^{-\frac{1}{p}}\;+\;{\beta}^{-\frac{1}{p}}\;=\;2$</TEX>, <TEX>$T\;=\;{\pi}_p/{\alpha}^{\frac{1}{p}}$</TEX>, <TEX>${\pi}_p\;=\; \frac{2{\pi}}{p\;sin(\pi/p)}$</TEX> and <TEX>$h\;{\in}\;L^{\infty}$</TEX>(0,T). The results of this paper generalize some early results obtained in [8] and [9]. Moreover, the method used in this paper is elementary and new.