Khayyam Journal of MathematicsKhayyam Journal of Mathematics
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Sun, 21 Oct 2018 09:21:58 +0100FeedCreatorKhayyam Journal of Mathematics
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Feed provided by Khayyam Journal of Mathematics. Click to visit.Accurate Numerical Method for Singularly Perturbed Differential-Difference Equations with Mixed ...
http://www.kjm-math.org/article_57949_7187.html
This paper is concerned with the numerical solution of the singularly perturbed differential-difference equations with small shifts called delay and advanced parameters. A fourth order finite difference method with a fitting factor is proposed for the solution of the singularly perturbed differential-difference equations with mixed shifts. The delay and advanced shifts are managed by Taylor series and an asymptotically equivalent singularly perturbed two-point boundary value problem is obtained. A fitting factor is introduced in the fourth order finite difference scheme for the problem which takes care of the small values of the perturbation parameter. This fitting factor is obtained from the asymptotic solution of singular perturbations. Thomas algorithm is used to solve the discrete system of the difference scheme. Convergence of the proposed method is analyzed. Maximum absolute errors in comparison with the several numerical experiments aretabulated to illustrate the proposed method.Sat, 30 Jun 2018 19:30:00 +0100On Certain Results Involving a Multiplier Transformation in a Parabolic Region
http://www.kjm-math.org/article_60177_7187.html
We, here, obtain certain results in subordination form involving a multiplier transformation in a parabolic region. In particular, using different dominants in our main result, we derive certain results on parabolic starlikeness, starlikeness, convexity, uniform convexity, strongly starlikeness, close-to-convexity and uniform close-to-convexity of p-valent analytic functions as well as univalent analytic functions.Sat, 30 Jun 2018 19:30:00 +0100On a Classification of Almost $\alpha $-Cosymplectic Manifolds
http://www.kjm-math.org/article_67030_0.html
The object of the present paper is to study almost $alpha $-cosymplectic manifolds. We consider projectively flat, conformally flat, and concircularly flat almost $alpha $-cosymplectic manifolds (with the $eta $-parallel tensor field $phi h$) and get some new properties. We conclude the paper by giving an example of $alpha $-Kenmotsu manifold, which verifies our results.Fri, 10 Aug 2018 19:30:00 +0100More on Convergence Theory of Proper Multisplittings
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In this paper, we first prove a few comparison results between twoproper weak regular splittings which are useful in getting theiterative solution of a large class of rectangular (square singular)linear system of equations $Ax = b$, in a faster way. We then deriveconvergence and comparison results for proper weak regularmultisplittings.Sat, 30 Jun 2018 19:30:00 +0100Conformal Semi-Invariant Submersions from Almost Contact Metric Manifolds onto Riemannian Manifolds
http://www.kjm-math.org/article_68796_0.html
As a generalization of semi-invariant submersion, we introduce the conformal semi-invariant submersion from an almost contact metric manifold onto a Riemannian manifold and give some examples. In this paper, we consider the conformal semi-invariant submersion from a Cosymplectic manifold onto a Riemannian manifold admitting vertical and horizontal structural vector fields. Further, we study the geometry of foliations which are arisen from the definition of a conformal submersion and show that there are certain product structures on the total space of a conformal semi-invariantsubmersion. We also study the harmonicity of such submersions and find necessary and sufficient conditions of a conformal semi-invariant submersion to be totally geodesic.Thu, 06 Sep 2018 19:30:00 +0100Uniqueness of Meromorphic Functions with Regard to Multiplicity
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In this paper, we investigate the uniqueness problem on meromorphic functions concerning differential polynomials sharing one value. A uniqueness result which related to multiplicity of meromorphic function is proved in this paper. By using the notion of multilplicity our results will generalise and improve the result due to Chao Meng [10].Sat, 30 Jun 2018 19:30:00 +0100Exponential Stability Analysis for Delay-Differential Systems of Neutral Type with an LMI Approach
http://www.kjm-math.org/article_73499_0.html
In this paper for neutral delay differential systems, the problem of determining the exponential stability is investigated. Based on the Lyapunov method, we present some useful criteria of exponential stability for the derived systems. The stability criterion is formulated in terms of linear matrix inequality (LMI),which can be easily solved by using the MATLAB LMI toolbox. Numerical examples are included to illustrate the proposed method.Mon, 08 Oct 2018 20:30:00 +0100Expanding the Applicability of Generalized High Convergence Order Methods for Solving Equations
http://www.kjm-math.org/article_63368_7187.html
The local convergence analysis of iterative methods is important since it indicates the degree of difficulty for choosing initial points. In the present study we introduce generalized three step high order methods for solving nonlinear equations. The local convergence analysis is given using hypotheses only on the first derivative, which actually appears in the methods in contrast to earlier works using hypotheses on higher derivatives. This way we extend the applicability of these methods. The analysis includes computable radius of convergence as well as error bounds based on Lipschitz-type conditions, which is not given in earlier studies. Numerical examples conclude this study.Sat, 30 Jun 2018 19:30:00 +0100The Approximate Solutions of Fractional Integro-Differential Equations by Using Modified ...
http://www.kjm-math.org/article_73593_0.html
The main object of the present paper is to study the behavior of the approximated solutions of the Caputo fractional Volterra-Fredholm integro-differential equations by using modified Adomian decomposition method. Moreover, we discuss some new existence, uniqueness, and convergence results. Finally, an example is included to demonstrate the validity and applicability of the proposed technique.Tue, 09 Oct 2018 20:30:00 +0100Generalized Ricci Solitons on Trans-Sasakian Manifolds
http://www.kjm-math.org/article_63446_7187.html
The object of the present research is to shows that a trans-Sasakian manifold, which also satisfies the Ricci soliton and generalized Ricci soliton equation, satisfying some conditions, is necessarily the Einstein manifold.Sat, 30 Jun 2018 19:30:00 +0100Dynamic Response of an Elastically Connected Double Non-Mindlin Plates with Simply-Supported ...
http://www.kjm-math.org/article_73854_0.html
In this paper, the dynamic response of two identical parallel non-mindlin (i.e., not taking into account the effect of shear deformation and rotatory inertia) plates which are elastically connected and subjected to a constant moving load is considered. The fourth order coupled partial differential governing equations is formulated and solved, using an approximate analytical method by assuming; firstly, a series solution later on treating the resulting coupled second order ordinary differential equations with an asymptotic method of Struble. The differential transform method, being a semi-analytical technique, is applied to the reduced coupled second order ordinary differential equations, to get a non-oscillatory series solution. An after treatment technique, comprising of the Laplace transform and Pade approximation techniques, is finally used via MAPLE ODE solver to make the series solution oscillatory. The dynamic deflections of the upper and lower plates are presented in analytical closed forms. The effect of the moving speed of the load and the elasticity of the elastic layer on the dynamic responses of the double plate systems is graphically shown and studied in details. The graphs of the plate's deflections for different speed parameters were plotted. It is however observed that the transverse deflections of each of the plates increase with an increase in different values of velocities for the moving load for a fixed time $t$.Sat, 13 Oct 2018 20:30:00 +0100On a New Subclass of m-Fold Symmetric Biunivalent Functions Equipped with Subordinate Conditions
http://www.kjm-math.org/article_63470_7187.html
In this paper, we introduce a new subclass of biunivalent function class $Sigma$ in which both $f(z)$ and $f^{-1}(z)$ are m-fold symmetric analytic functions. For functions of the subclass introduced in this paper, we obtain the coefficient bounds for $|a_{m+1}|$ and $|a_{2m+1}|$ and also study the Fekete-Szegö functional estimate for this class. Consequences of the results are also discussed.Sat, 30 Jun 2018 19:30:00 +0100On T-Extensions of Abelian Groups
http://www.kjm-math.org/article_74220_0.html
Let $Re$ be the category of all discrete abelian groups, and let $cal{L}$ be the category of all locally compact abelian (LCA) groups. For a group $Gin cal{L}$, the maximal torsion subgroup of $G$ is denoted by $tG$. A short exact sequence $0to Astackrel{phi}{to} Bstackrel{psi}{to}Cto 0$ in $Re$ is said to be a t-extension if $0to tAstackrel{phi}{to} tBstackrel{psi}{to}tCto 0$ is a short exact sequence. We show that the set of all t-extensions of $A$ by $C$ is a subgroup of $Ext(C,A)$, which contains $Pext(C,A)$ for discrete abelian groups $A$ and $C$. We establish conditions under which the t-extensions split and determine those groups in $Re$ which are t-injective or t-projective in $Re$. Finally we determine the compact groups $G$ in $cal{L}$ such that every pure extension of $G$ by a compact connected group $Cin cal{L}$ splits.Fri, 19 Oct 2018 20:30:00 +0100Solvability of Nonlinear Goursat Type Problem for Hyperbolic Equation with Integral Condition
http://www.kjm-math.org/article_65161_7187.html
This paper is concerned with the existence and uniqueness of a strong solution for linear problem by using a functional analysis method, which is based on an energy inequality and the density of the range of the operator generated by the problem. Applying an iterative process based on results obtained from the linear problem, we prove the existence anduniqueness of the weak generalized solution of nonlinear hyperbolic Goursat problem with integral condition.Sat, 30 Jun 2018 19:30:00 +0100