Browse

You are looking at 91 - 100 of 247 items for :

  • Differential Equations and Dynamical Systems x
Clear All
Open access

Waghamore P. Harina and S. Rajeshwari

Abstract

The purpose of the paper is to study the uniqueness of entire and meromorphic functions sharing a small function with finite weight. The results of the paper improve and extend some recent results due to Abhijit Banerjee and Pulak Sahoo [3].

Open access

A. O. Adesanya, R. O. Onsachi and M. R. Odekunle

Abstract

In this paper, we consider the development and implementation of algorithms for the solution of stiff first order initial value problems. Method of interpolation and collocation of basis function to give system of nonlinear equations which is solved for the unknown parameters to give a continuous scheme that is evaluated at selected grid points to give discrete methods. The stability properties of the method is verified and numerical experiments show that the new method is efficient in handling stiff problems.

Open access

Waseem A. Khan, M. Ghayasuddin and M. Shadab

Abstract

In this paper, we introduce a new class of Hermite multiple-poly-Bernoulli numbers and polynomials of the second kind and investigate some properties for these polynomials. We derive some implicit summation formulae and general symmetry identities by using different analytical means and applying generating functions. The results derived here are a generalization of some known summation formulae earlier studied by Pathan and Khan.

Open access

Artion Kashuri and Rozana Liko

Abstract

In the present paper, the notion of MTm-preinvex function is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving MTm-preinvex functions along with beta function are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for MTm-preinvex functions via classical integrals and Riemann-Liouville fractional integrals are established. At the end, some applications to special means are given. These results not only extend the results appeared in the literature (see [13]), but also provide new estimates on these types.

Open access

Valeriu Popa and Alina-Mihaela Patriciu

Abstract

In this paper the notion of common coincidence range property is introduced and a general coincidence and fixed point theorem is proved. As applications, new results for mappings satisfying a contractive condition of integral type and for mappings satisfying a φ-contractive condition are obtained.

Open access

W. E. Barrera, J. R. Morales and E. M. Rojas

Abstract

In this paper we discuss the existence and uniqueness of fixed points for mappings satisfying several (nonlinear-combinations) contractive inequalities of rational type controlled by altering distance functions. Our results extend several fixed point results in the literature.

Open access

Ahu Acikgoz, Takashi Noiri and Nihal Tas

Abstract

In this paper, we introduce the notion of contra (mX;mY )-semicontinuous functions between m-spaces. We obtain many characterizations of these functions and deal with decompositions of the functions and other related functions.

Open access

T. D. Narang and Sahil Gupta

Abstract

The aim of this paper is to prove some results on the existence and uniqueness of elements of best approximation and continuity of the metric projection in metric spaces. For a subset M of a metric space (X; d), the nature of set of those points of X which have at most one best approximation in M has been discussed. Some equivalent conditions under which an M-space is strictly convex have also been given in this paper.

Open access

Lingeshwaran Shangerganesh, Arumugam Gurusamy and Krishnan Balachandran

Abstract

In this work, we study the existence and uniqueness of weak solu- tions of fourth-order degenerate parabolic equation with variable exponent using the di erence and variation methods.

Open access

Werner Georg Nowak

Abstract

In a classic paper [14], W.G. Spohn established the to-date sharpest estimates from below for the simultaneous Diophantine approximation constants for three and more real numbers. As a by-result of his method which used Blichfeldt’s Theorem and the calculus of variations, he derived a bound for the critical determinant of the star body

|x1|(|x1|3 + |x2|3 + |x3|3 ≤ 1.

In this little note, after a brief exposition of the basics of the geometry of numbers and its significance for Diophantine approximation, this latter result is improved and extended to the star body

|x1|(|x1|3 + |x2 2 + x3 2)3/2≤ 1.