Volume 4 (2012), Number 2

A Generalization of Companion Inequality of Ostrowski's Type for Mappings Whose First Derivatives Are Bounded and Applications in Numerical Integration

Author(s): MOHAMMAD W. ALOMARI

Abstract: An inequality for a companion of Ostrowski's integral inequality is proved. Application to a composite quadrature rule is considered.

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Growth of Universal Entire Harmonic Functions

Author(s): DEVENDRA KUMAR AND SACHIN KUMAR GUPTA

Abstract: In this paper we obtained some bounds on growth parameters order and type of $J$ -universal entire harmonic functions on $ℝ^{N}$ . The results are expressed in terms of the derivatives of function at origin on $ℝ^{N}$ .

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A Class of Nonlinear Integral Equations

Author(s): MARIA DOBRIȚOIU

Abstract: Using the Contraction Principle and the General Data Dependence Theorem, several results of existence and uniqueness and of continuous dependence of data of the solution of a class of integral equations with modified argument from physics, that is a mathematical model reference with to the turbo-reactors working: $x (t) = \int_{a}^{b} K (t, s) \cdot h (s, x (s), x (a), x (b)) d s + f (t), t \in [a, b],$ where $a, b \in ℝ$ , $a < b$ , $K : [a, b] \times [a, b] \to ℝ$ , $h : [a, b] \times ℝ^{3} \to ℝ$ , $f : [a, b] \to ℝ$ and $x : [a, b] \to ℝ$ are given. Also, an example is given.

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New Ostrowski Type Inequalities for Co-ordinated Convex Functions

Author(s): MUHAMMAD AMER LATIF, SABIR HUSSAIN AND SEVER S. DRAGOMIR

Abstract: In this paper some new Owstroski type inequalites for co-ordinated convex functions are obtained.

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Antiperiodic Solutions for Shunting Inhibitory Cellular Neural Networks with Nonlinear Behaved Functions and Mixed Delays

Author(s): WENGUI YANG AND QINGBO ZHAO

Abstract: In this paper, a class of shunting inhibitory cellular neural networks (SICNNs) with nonlinear behaved functions and mixed delays are are considered. Sufficient conditions for the existence and globally exponentially stability of the antiperiodic solutions are established, which are new and complement previously known results. An example is employed to illustrate our feasible results.

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