Computers & Mathematics with Applications

In this paper we study the behavior of the solutions of the difference equation x"n"+"1=@a+x"n"-"1x"n,n=0,1,... where @a is a negative number. Included are results which considerably improve and correct those in the recently published paper: [A.E. Hamza,...

We prove that the equilibrium solution of the rational difference equation x"n"+"1=a+x"nx"n"-"kx"n+x"n"-"k,n=0,1,2,... where k is a nonnegative integer, a>=0, and x"-"k,...,x"0>0, is globally asymptotically stable.

The main purpose of this paper is to develop a new optimum output quantity decision analysis of a duopoly market under a fuzzy decision environment. To efficiently handle the fuzziness of the decision variables, the linguistic values, subjectively ...

In the present paper, using a A-summation process we give a theorem of the Korovkin type for a sequence of positive linear operators acting from a weighted space C"@r"""1 into B"@r"""2. We also study the rates of convergence of these operators.

In this paper, we show several new generalized and sharpened versions of Aczel's inequality and Popoviciu's inequality, our results contain as special cases the improvement of certain known results on Aczel's inequality and Popoviciu's inequality. As ...

In this paper, we study the existence of global solutions for a class of impulsive abstract functional differential equation. An application involving a parabolic system with impulses is considered.

In this paper, it is revealed that modified form of He's homotopy perturbation method corresponds to Adomian's decomposition method for certain nonlinear problems.

In the case of oscillatory potentials, we establish some oscillation criteria for the second order forced elliptic differential equation with mixed nonlinearities div(A(x)@__ __y)+ +C(x,y)=e(x). When N=1, our results extend those of Kong [Q. Kong, ...

The steady flow of a third grade fluid past a horizontal porous plate with partial slip is investigated. The arising non-linear problem is solved numerically using a finite element method. The results of no-slip and slip conditions are presented ...

This paper investigates the robust control problem for a class of neural networks subject to bounded uncertainties and time-varying delays. A memoryless decentralized variable structure control law with dead-zone input for guaranteeing global ...

The paper studies fast and efficient solution algorithms for nxn symmetric ill conditioned Toeplitz systems T"n(f)x=b where the generating function f is known a priori, real valued, nonnegative, and has isolated roots of even order. The preconditioner ...

Some physical and computational aspects related to the intuitive notion of time in its connection with natural and technological processes are considered. The phenomenon of finite speed of information transmittal relative to measurement and computation ...

The purpose of this paper is to propose a simple (one or two parameter) multiphase flow model, suitable for the description of Rayleigh-Taylor and Richtmyer-Meshkov mixing layers. We justify model closure assumptions in this model by comparison to ...

In this paper, we study the Transportation Fleet Maintenance Scheduling Problem (TFMSP) for a Logistic Service Provider (LSP) with many sub-companies (or branches). In the literature, Goyal and Gunasekaran's [S.K. Goyal, A. Gunasekaran, determining ...

In this paper, we consider a generalized mixed equilibrium problem involving non-monotone set-valued mappings in real Hilbert space. We extend the notions of the Yosida approximation and its corresponding regularized operator given by Moudafi and Thera [...

The adaptive neural fuzzy inference system is used to simulate trajectory tracking in aircraft landing operations management. The advantage of the approach is that by using the linguistic representation ability of fuzzy sets and the learning ability of ...

The alternate Sylvester sums are T"m(a,b)=@?"n"@?"N"R(-1)^nn^m, where a and b are coprime, positive integers, and NR is the Frobenius set associated with a and b. In this note, we study the generating functions, recurrences and explicit expressions of ...

In the present paper, a nonlinear non-autonomous predator-prey dispersion model with continuous delay is studied. Sufficient conditions which guarantee the existence of a periodic positive solution are obtained by using Gaines and Mawhin's continuation ...

In this article, we provide an analytic solution for the problem of unsteady axisymmetric flow of a second-grade fluid over a radially stretching sheet. The governing equations are first modeled and then converted into a non-linear partial differential ...

''The NURBS Book'' [L. Piegl, W. Tiller, The NURBS Book, second edn, Springer, 1997] is very popular in the fields of computer aided geometric design (CAGD) and geometric modeling. In Section 9.5.2 of the book, the well-known problem of the local cubic ...

Using the Avery and Peterson fixed point theorem, we investigate the existence of three positive solutions for the fourth order three-point boundary value problem u^(^4^)(t)=h(t)f(t,u(t),u^''(t)),0 0, 0<@x<1 and h(t) is sign-changing on [0,1]. The ...

Using the cone theory and lower and upper solutions, we investigate the existence of extremal solutions of nonlinear boundary value problem for second order impulsive integro-differential equations, which involve the derivative x^' and deviating ...

We observe that a lobster having diameter at least five has a unique path H=x"0x"1...x"m satisfying the property that, besides the adjacencies in H, both x"0 and x"m are adjacent to the centers of at least one K"1","s, where s>0, and each x"i, for 1@__ _...

A bivariate C^1 cubic super spline is constructed on Powell-Sabin type-1 split with the additional smoothness at vertices in the original triangulation being C^2, which permits the Hermite interpolation up to the second order partial derivatives exactly ...

Let G be a graph. The distance d(u,v) between the vertices u and v of the graph G is equal to the length of a shortest path that connects u and v. The Wiener index W(G) is the sum of all distances between vertices of G, whereas the hyper-Wiener index WW(...

Molodtsov [D. Molodtsov, Soft set theory - First results, Comput. Math. Appl. 37 (1999) 19-31] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual ...

This paper introduces a new class of generalized nonlinear quasi-variational inclusions involving generalized m-accretive mappings in p-uniformly smooth real Banach spaces. By using the resolvent operator technique for generalized m-accretive mappings ...

Complex dynamical networks with heterogeneous delays in both continuous- and discrete-time domains are controlled by applying local feedback injections to a small fraction of nodes in the whole network. Some generic stability criteria ensuring delay-...

We construct a new insurance risk model based on the entrance process by incorporating a constant force of interest and by allowing a policy to be claimed more than once during its validity term, and study the central limit theorem of the correlative ...