Research ArticleOpen accessIn the keywordsOn a Univalent Class Involving Differential Subordinations with ApplicationsR. W. Ibrahim, M. DarusProblem statement: By means of the Hadamard product (or convolution), new class of analytic functions was formed. This class was motivated by many authors. Approach: By using the concept of the subordination and superordination, we define certain differential inequalities and first order differential subordinations. Results: As their applications, we obtain some sufficient conditions for univalence which generalize and refine some … …Journal of Mathematics and Statistics, Vol. 7, Issue 2 · 18 May 2011 · 7,532 accessesView PDFCite
Research ArticleOpen accessIn the abstractGeneralization of Differential OperatorMaslina Darus, Rabha W. IbrahimThe main objective of this study was to generalize a differential operator. The generalized differential operator reduced to many known operators studied by various authors. New classes containing this generalized operator were studied and characterization of these classes was obtained. Further, subordination and superordination results involving this operator were studied and obtained the sandwich theorem. …Journal of Mathematics and Statistics, Vol. 4, Issue 3 · 30 Sep 2008 · 6,945 accessesView PDFCite
Research ArticleOpen accessIn the abstractPhysical Nonlinearity Under Cyclic Loading In Neutron FlowAtwa D. Zeyad, E.I. StarovoitovThe influence of neutron irradiation on the nonlinear elastoplastic deformation of the constructions components under cyclic force disturbance was investigated. The formula of irradiation reinforcement was suggested depending on the experimental data, and the theorem of variable loading was proved. The problem of metal-polymeric sandwich beam was solved numerically. …American Journal of Applied Sciences, Vol. 4, Issue 9 · 30 Sep 2007 · 6,776 accessesView PDFCite