Abstract: In this paper we have considered a systems of ODEs of second order and have shown the existence of a non oscillating solution for such system. We have applied the fixed point technique to show that under certian conditions there exists at least one solution...
Abstract: The distance $d_G(u,v)$ between vertices $u$ and $v$ in $G$ is the length of a shortest $u-v$ path in $G$. The eccentricity of a vertex $v$ in $G$ is the integer $e_G(v)= \max\{ d_G(v,u) \colon u\in V_G\}$. The diameter of $G$ is the integer $d(G)=...
Abstract: In this paper, the concept of fuzzy sets with the fuzzy Baire property in fuzzy topological spaces is introduced and studied. Several characterizations of fuzzy sets with the fuzzy Baire property, are established. Keywords: Fuzzy dense set, fuzzy somewhere dense set,fuzzy nowhere dense set,fuzzy first category...
Abstract: The objective of this paper is to introduce a new class of sets $S_{\uptau_{ij}}$-$g^{*}$-closed sets and $S_{\uptau_{ij}}$-$g^{*}$-open sets in supra bitopological spaces and some properties of these sets are investigated. Also, two supra bitopological spaces $S_{\uptau_{ij}}$-$T_{1/2}^{*}$ and $S_{\uptau_{ij}}$-$T_{1/2}^{**}$-spaces are introduced. Keywords: Supra bitopology, $S_{\uptau_{ij}}$-$g^{*}$-closed sets, $S_{\uptau_{ij}}$-$g^{*}$-open...
Abstract: In this paper, we have investigated a nonlinear rational difference equation of higher order. Our concentration is on invariant intervals, periodic character, the character of semicycles and global asymptotic stability of all positive solutions of \begin{equation*} x_{n+1}=\dfrac{\alpha +\beta x_{n-k}}{A+Bx_{n-k}},\;\;\;n=0,1,..., \end{equation*} where the parameters $\alpha $,...
Abstract: In this paper, we proved some fixed point theorems of contraction mappings in cone $b$-metric spaces. Keywords: Fixed point,Cone Metric Spaces, Complete Cone Metric Spaces, Cone $b$-Metric Spaces. DOWNLOAD PDF DOWNLOAD XML How to cite this article: Pawan Kumar, Z...
Abstract: In this paper we introduce the notion of generalized $(\alpha,\psi)-$ contractive mappings on a multiplicative metric space and partially ordered multiplicative metric space and prove some fixed point theorems for such contractions. Also we provide two supporting examples. Keywords: Multiplicative metric spaces, generalized $(\alpha,\psi)-$ contractive mappings,...
Abstract: We investigate that a bounded sequence of points in the half plane $\sigma > \frac{1}{2}$ is an interpolating sequence for Hilbert space of ordinary Dirichlet series with square summable coefficiens. Also, in the half plane $\sigma > \frac{1}{2}$ we discuss the wold decomposition for...
Abstract: This paper analyses the field of mathematics, number theory, around the divergence and convergence of series of varying forms such as P-series, geometric series and even more compound functions including the hyperbolic trigonometric function of sine, cosine and tangent. The purpose is typically to support...
Abstract: This paper investigate quasi-linear parabolic $p$-Lapalace equation of the type \begin{equation*} \frac{\partial \varphi}{\partial t} - \text{div}(\frac{h(|\nabla \varphi|)\nabla \varphi}{|\nabla \varphi|})= 0,\end{equation*} under suitable assumptions. We provide a single geometric setting for which a bounded weak solution $\varphi$, is locally H$\ddot{o}$lder continuous in the Sobolve-Orlicz Space $W^1L^{\phi}(\Omega)$...
Abstract: Let $G = (V, E)$ be a simple connected graph. An ordered subset $W$ of $V$ is said to be a \textit{resolving set} of $G$ if every vertex is uniquely determined by its vector of distances to the vertices in $W.$ The minimum cardinality of...
Abstract: In this paper, some fixed point theorems for generalized rational contractions in complex valued $b$-metric space are proved. These results extend and improve several well known results obtained previously. Keywords: Complete complex valued $b$-metric space, fixed point. DOWNLOAD PDF DOWNLOAD XML ...
Abstract: This paper deals with optimal expected value of assets under Black-Scholes equation with transaction costs. The partial differential equation for option pricing with transaction costs on the domain $(P,T)\in(0,\infty)\times (0,T)$ with terminal condition $C(P,T)=max(P-E,0),P\in(0,\infty)$ for European call options with strike price $E$, and a...
Abstract: We discuss the painleve analysis of the variable coefficient of the Burgers equation. Next discuss the symmetries of the variable coefficient of the Burgers equation. We classify one-dimensional and two-dimensional subalgebras of the Burgers equation. Further reduction of these equations to second order equations....
Abstract: In this paper, we have defined the concept $k^{*}$-continuous function in ideal closure spaces. In particular, the properties of open and closed maps, composite of $k^{*}$-continuous functions, characterization of $k^{*}$-homeomorphic functions in ideal closure spaces are explained in detail. Keywords: $k^{*}$-continuous functions, open map, closed map,...
Abstract: The aim of this paper is to apply generalized Kummer's theorem and generalized Dixon's theorem due to Lavoie et al. to establish two general integrals involving Humbert's functions of two variables $ \varPhi_2 $, $ \varPsi_2 $ and Kummer's function $ {}_1F_1 $. Some interesting...
Abstract: Wang and Yeh proved that if $P(x)$ is a polynomial with non-negative and nondecreasing coefficients, then $P(x + d)$ is unimodal for any $d > 0$. A mode of a unimodal polynomial $f(x) = a_0 + a_1x +\cdots+a_mx^m$ is an index $k$ such that...
Abstract: Presented dynamical behavior of a prey--predator system where both prey and predator populations are affected by diseases with susceptible--infected. We also analysis the system of equilibrium point and stability analysis. A system of four differential equation susceptible--infected prey species and predator species has been proposed...
Abstract: The main purpose of the present paper is to introduce and study some weaker forms of continuity in bitopological ordered spaces .Such as pairwise $I$-continuous maps, pairwise $D$-continuous maps, pairwise $B$-continuous maps, pairwise $I$-open maps, pairwise $D$-open maps, pairwise $B$-open maps, pairwise $I$-closed maps,...
Abstract: We present a local convergence analysis for a multi-point family of high order methods in order to approximate a solution of a nonlinear equation in a Banach space setting. The convergence ball and error estimates are given for these methods under H$\ddot{o}$lder continuity conditions....