Volume 5 (2013), Number 1
Stability in Nonlinear Neutral Difference Equations with Variable Delays
Author(s): ABDELOUAHEB ARDJOUNI and AHCENE DJOUDI
Abstract: In this paper we use fixed point method to prove asymptotic stability results of the zero solution of a nonlinear neutral difference equation with variable delays. An asymptotic stability theorem with a sufficient condition is proved. The obtained results improve and generalize those due to Raffoul (2006), Yankson (2009) and Islam and Yankson (2005).
DownloadSubclasses of p-valent Functions Defined by Convolution Involving the q-hypergeometric Function
Author(s): HUDA ALDWEBY and MASLINA DARUS
Abstract: Motivated by the familiar -hypergeometric functions, we introduce here two general subclasses and of analytic -valent functions with negative coefficients in the unit disk. These classes generalize well known classes of starlike and convex functions. For these classes, some results which include the coefficient estimates, the integral means inequalities and --neighborhood are obtained.
DownloadSome Applications of Fejér’s Inequality for Convex Functions (II)
Author(s): S.S. DRAGOMIR and I. GOMM
Abstract: Some applications of Fejér’s inequality for convex functions are explored. Upper and lower bounds for the weighted integral under various assumptions for with applications to the trapezoidal quadrature rule are given. Some inequalities for special means are derived.
DownloadExtension of the Bertrand Theorem to the Relativistic Classical Mechanics
Author(s): LAUREAN HOMORODEAN
Abstract: A new approach of the relativistic motion of a particle in a central field is presented. It is based on a modified form of the Hamilton function of the particle. This form allows us to extend the Bertrand theorem from the non-relativistic classical mechanics to the relativistic classical mechanics.
DownloadGeneralized Growth of Harmonic Functions in Hyper Spheres
Author(s): DEVENDRA KUMAR and RAJBIR SINGH
Abstract: The paper deals with growth of functions which are harmonic in seve ral variables. The type and lower type with respect to proximate order have been characterized in terms of derivatives of functions harmonic in the neighborhood of origin in . Our results generalize some results of Fryant and Shankar.
DownloadLaplace Transform Technique for Pseudoparabolic Equation with Nonlocal Conditions
Author(s): AHCENE MERAD and ABDELFATAH BOUZIANI
Abstract: In this paper we present a Laplace transform technique for solving the pseudoparabolic equation with nonlocal (integral) conditions. A Laplace transform technique is described for the solution of the considered equation. Finally, we obtain the solution using a numerical technique by inverting the Laplace transform.
DownloadComposition Operators on Cesaro-Orlicz Sequence Spaces
Author(s): KULDIP RAJ, SEEMA JAMWAL and SUNIL K. SHARMA
Abstract: In this paper we characterize the boundedness, invertibility and Fredholmness of composition operators on the Cesaro-Orlicz sequence spaces Ces.
DownloadSome Integral Inequalities of Hermite-Hadamard Type for Extended -convex Functions
Author(s): BO-YAN XI, YAN WANG and FENG QI
Abstract: In the paper, the authors establish some new integral inequalities of Hermite-Hadamard type for extended -convex functions.
DownloadOstrowski Inequality for Fractional Integrals and Related Fractional Inequalities
Author(s): HU YUE
Abstract: In this paper, we obtain some new generalizations for Ostrowski inequality by using Riemann-Liouville fractional integral.
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