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ISSN : 1226-0657
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Vol.25 No.4
Abstract
In the present study, we derive the problem of constructing a hypersurface family from a given isogeodesic curve in the 4D Galilean space <TEX>$G_4$</TEX>. We obtain the hypersurface as a linear combination of the Frenet frame in <TEX>$G_4$</TEX> and examine the necessary and sufficient conditions for the curve as a geodesic curve. Finally, some examples related to our method are given for the sake of clarity.
Abstract
In this paper, we study the sequentially open and closed subsets of sequential topological groups determined by sequentially continuous group homomorphism. In particular, we investigate the sequentially openness (closedness) and sequentially compactness of subsets of sequential topological groups by the aid of sequentially continuity, sequentially interior or closure operators. Moreover, we explore subgroup and sequential quotient group of a sequential topological group.
Abstract
In this paper, we introduce the concept of Fibonacci sequences on MV-algebras and study them accurately. Also, by introducing the concepts of periodic sequences and power-associative MV-algebras, other properties are also obtained. The relation between MV-algebras and Fibonacci sequences is investigated.
Abstract
In this paper, we introduce the notion of the (L, <TEX>${\ast}$</TEX>)-filter spaces on ecl-premonoids. Moreover, we obtain various (L, <TEX>${\ast}$</TEX>)-filters incuced by two (L, <TEX>${\ast}$</TEX>)-filters and give their examples.
Abstract
We study the existence and uniqueness of fixed point for isotone mappings of any number of arguments under Geraghty-type contraction on a complete metric space endowed with a partial order. As an application of our result we study the existence and uniqueness of the solution to a nonlinear Fredholm integral equation. Our results generalize, extend and unify several classical and very recent related results in the literature in metric spaces.
Abstract
In this paper we wish to establish some basic properties of entire functions represented by a vector valued Dirichlet series on the basis of (p, q)-th relative Ritt order, (p, q)-th relative Ritt type and (p, q)-th relative Ritt weak type where p and q are integers such that <TEX>$p{\geq}0$</TEX> and <TEX>$q{\geq}0$</TEX>.
Abstract
We investigate all kinds of the Hilbert function of the Artinian quotient of the coordinate ring of a linear star configuration in <TEX>${\mathbb{P}}^2$</TEX> of type 3 (or 3-general points in <TEX>${\mathbb{P}}^2$</TEX>). As an application, we prove that such an Artinian quotient has the SLP.
Abstract
This paper looks into phase plane behavior of the solution near the positive steady-state for the system with prey density dependent response functions. The positive invariance and boundedness property of the solution to the objective model are proved. The existence result of a positive steady-state and asymptotic analysis near the positive constant equilibrium for the objective system are of interest. The results of phase plane analysis for the system are proved by observing the asymptotic properties of the solutions. Also some numerical analysis results for the behaviors of the solutions in time are provided.