Oscillatory and asymptotic properties of solutions of nonlinear fourth order difference equations

The authors consider the difference equation Δ2 (rn Δ2 yn) qn f(yn) = Qn; n = 1,2,3,... (*) where rn > 0, qn > 0, for all n 1 and f : is continuous such that uf(u) > 0 for u 0. Dividing the solutions of (*) into several classes for the cases Qn = 0 and Qn 0, the authors obtain conditions for the existence / nonexistence of solutions of (*) in these classes. Examples are inserted to illustrate the results

Machine Learning Techniques for the Design and Optimization of Polymer Composites: A Review

Polymer composites are employed in a variety of applications due to their distinctive characteristics. Nevertheless, designing and optimizing these materials can be a lengthy and resourceintensive process for low cost and sustainable materials. Machine learning has the potential to simplify this process by offering predictions of the characteristics of novel composite materials based on their microstructures. This review outlines machine learning techniques and highlights the potential of machine learning to improve the design and optimization of polymer composites. This review also examines the difficulties and restrictions of utilizing machine learning in this context and offers insights into potential future research paths in this field

<em>In vitro</em> propagation of <i>Nyctanthes arbor-tristis</i></em> L.

366-369Mass propagation of tree species has always been a challenging task. An efficient protocol for rapid in vitro mass propagation of Nyctanthes arbor-tristis L. has been developed from shoot tip and internodal explants. Explants were cultured on Murashige and Skoog (MS) medium supplemented with 6-benzylamino purine (BAP) and thidiazuron (TDZ) in various concentrations. 2. 0 mg/l BAP was proved to be best for high frequency multiple shoot induction from shoot-tip explants and 2. 5 mg/l BAP was produced maximum shoots proliferation from internodal explants. The well elongated healthy shoots were transferred for rooting on MS medium supplemented with indole-3-butyric acid (IBA) in different concentration. Maximum numbers of roots were achieved in 2.0 mg/l of IBA medium. The rooted plantlets were hardened and transferred to field conditions. All the regenerated plants with 80-85% survival rate were normal with respect to morphology and growth characteristics

Direct organogenesis in <i style="">Datura metel </i>L. from <i style="">in vitro</i> and <i style="">in vivo</i> nodal explants

449-451In vitro plant regeneration was achieved in Datura metel from nodal explants collected from both in vitro germinated seedlings and field grown plants (in vivo). The explants were cultured on MS medium with BAP (0.5-3.0 mg/l) and NAA (0.5 mg/l). The nodal explants isolated from in vivo source exhibited a greater number of healthy multiple shoots than in vitro. BAP at 3 mg/l with NAA at 0.5 mg/l was found to be optimal for regeneration of shootlets

Bounded nonoscillatory solutions of neutral type difference systems

This paper deals with the existence of a bounded nonoscillatory solution of nonlinear neutral type difference systems. Examples are provided to illustrate the main results

PTC&amp;B In vitro Propagation of Mentha viridis L. from Nodal and Shoot tip Explants

A simple micropropagation method from nodal and shoot tip explants is reported here for Mentha viridis, an economically important medicinal plant. High frequency of microshoots was obtained from these two explants on MS supplemented with various concentrations of BAP (1.0- 4.0 mg/l) and Kn (1.0-4.0 mg/l). Maximum number of shoots was obtained from nodal explants in the medium containing 3.0 mg/l BAP. The root induction was carried out by using IBA and IAA (0.5- 2.0 mg/l). Among these, high frequency of root proliferation was achieved in the medium containing 1.5 mg/l of IBA. The rooted plantlets were hardened and transferred to the field. The survival rate was 90- 95 % after 25 days