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Search Results: 1 - 10 of 223866 matches for " R. Jayapal "
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Interval Oscillation Criteria for Fractional Partial Differential Equations with Damping Term  [PDF]
Vadivel Sadhasivam, Jayapal Kavitha
Applied Mathematics (AM) , 2016, DOI: 10.4236/am.2016.73025

In this article, we will establish sufficient conditions for the interval oscillation of fractional partial differential equations of the form \"\"

It is based on the information only on a sequence of subintervals of the time space \"\"?rather than whole half line. We consider f to be monotonous and non monotonous. By using a generalized Riccati technique, integral averaging method, Philos type kernals and new interval oscillation criteria are established. We also present some examples to illustrate our main results.

On Signed Product Cordial Labeling  [PDF]
Jayapal Baskar Babujee, Shobana Loganathan
Applied Mathematics (AM) , 2011, DOI: 10.4236/am.2011.212216
Abstract: A new concept of labeling called the signed product cordial labeling is introduced and investigated for path graph, cycle graphs, star-K1,n, Bistar-Bn,n, and Some general results on signed product cordial labeling are studied.
New Constructions of Edge Bimagic Graphs from Magic Graphs  [PDF]
Jayapal Baskar Babujee, Babitha Suresh
Applied Mathematics (AM) , 2011, DOI: 10.4236/am.2011.211197
Abstract: An edge magic total labeling of a graph G(V,E) with p vertices and q edges is a bijection f from the set of vertices and edges to such that for every edge uv in E, f(u) + f(uv) + f(v) is a constant k. If there exist two constants k1 and k2 such that the above sum is either k1 or k2, it is said to be an edge bimagic total labeling. A total edge magic (edge bimagic) graph is called a super edge magic (super edge bimagic) if f(V(G)) = . In this paper we define super edge edge-magic labeling and exhibit some interesting constructions related to Edge bimagic total labeling.
Integration of Next-Generation Sequencing Based Multi-Omics Approaches in Toxicogenomics
Manikandan Jayapal
Frontiers in Genetics , 2012, DOI: 10.3389/fgene.2012.00088
Forced Oscillation of Nonlinear Impulsive Hyperbolic Partial Differential Equation with Several Delays  [PDF]
Vadivel Sadhasivam, Jayapal Kavitha, Thangaraj Raja
Journal of Applied Mathematics and Physics (JAMP) , 2015, DOI: 10.4236/jamp.2015.311175
Abstract: In this paper, we study oscillatory properties of solutions for the nonlinear impulsive hyperbolic equations with several delays. We establish sufficient conditions for oscillation of all solutions.
Existence of Solutions of Three-Dimensional Fractional Differential Systems  [PDF]
Vadivel Sadhasivam, Jayapal Kavitha, Muthusamy Deepa
Applied Mathematics (AM) , 2017, DOI: 10.4236/am.2017.82016

In this article, we consider the three-dimensional fractional differential system of the form \"\"

together with the Neumann boundary conditions,?


where \"\" are the standard Caputo fractional derivatives, \"\" . A new result on the existence of solutions for a class of fractional differential system is obtained by using Mawhin’s coincidence degree theory. Suitable examples are given to illustrate the main results.

Ion-Acoustic Instabilities in a Multi-Ion Plasma
Noble P. Abraham,Sijo Sebastian,G. Sreekala,R. Jayapal,C. P. Anilkumar,Venugopal Chandu
Journal of Astrophysics , 2013, DOI: 10.1155/2013/838534
Abstract: We have, in this paper, studied the stability of the ion-acoustic wave in a plasma composed of hydrogen, positively and negatively charged oxygen ions, and electrons, which approximates very well the plasma environment around a comet. Modelling each cometary component ( , , and ) by a ring distribution, we find that ion-acoustic waves can be generated at frequencies comparable to the hydrogen ion plasma frequency. The dispersion relation has been solved both analytically and numerically. We find that the ratio of the ring speed ( ) to the thermal spread ( ts) modifies the dispersion characteristics of the ion-acoustic wave. The contrasting behaviour of the phase velocity of the ion-acoustic wave in the presence of ions for ts (and vice versa) can be used to detect the presence of negatively charged oxygen ions and also their thermalization. 1. Introduction Low-frequency electrostatic or longitudinal ion density waves are one of the most fundamental of oscillations in a plasma [1, 2]. In the long-wavelength limit, the ions provide the inertia with the electrons as the source of the restoring force [1]. Ion-acoustic waves also exhibit strong nonlinear properties and are highly Landau damped unless , where and are, respectively, the ion and electron temperatures [3–5]. These waves have been observed in both space and laboratory plasmas; they have thus been extensively studied in many types of high-temperature laboratory plasmas [4, 6]. The waves have been invoked to explain wave characteristics observed in Earth’s ionosphere [7] and transport in the solar wind, corona, chromosphere [8], and comets [9]. In general a cometary environment contains new born hydrogen and heavier ions, with relative densities depending on the distance from the nucleus. Previous studies have concentrated on positively charged oxygen as the heavier ion species [10]. However, Giotto’s observations of the inner coma of comet Halley showed that a new component, namely, negatively charged cometary ions was present, in addition to the usual thermal electrons and ions, fast cometary pickup ions, and so forth, [11]. These negative ions were observed in three broad mass peaks at 7–19, 22–65, and 85–110 amu with being identified unambiguously [11]. A popular model of a cometary environment is the solar wind plasma environment permeated by dilute, drifting ring distribution of electrons and ions with finite thermal spreads [10]. Instabilities driven by an electron velocity ring distributions have been studied by many authors [12–14]. However, ion ring distributions are more important
Geoelectrical Schlumberger Investigation for Characterizing the Hydrogeological Conditions Using GIS in Kadavanar Sub-basin, Cauvery River, Tamil Nadu, India
S .Venkateswaran,,P. Jayapal
International Journal of Innovative Technology and Exploring Engineering , 2013,
Abstract: The increasing demand for fresh water hasnecessitated the exploration for new sources of groundwater,particularly in hard rock terrain, where groundwater is a vitalsource of fresh water. A fast, cost effective and economical wayof exploration is to study and analyze geophysical resistivitysurvey data. The present study area Kadavanar sub-basin,Cauvery River, Tamil Nadu, India, is overlain by Archaeancrystalline metamorphic complex. The study area is acharacteristic region of unconfined aquifer system. The potentialfor occurrence of groundwater in the study areas was classifiedas very good, good, moderate and poor by interpreting the subsurfacegeophysical investigations, namely vertical electricalsoundings, were carried out to delineate potential water bearingzones. The studies reveal that the groundwater potential ofshallow aquifers is due to weathered zone very low resistivity andvery high thickness and the potential of deeper aquifers isdetermined by fracture zone very low resistivity and very highthickness area. By using conventional GIS method, the spatialdistribution maps for different layer (Top soil, weathered zone,first fracture zone and second fracture zone) thicknesses wereprepared. The geoelectrical approach was successfully applied inthe study area and can be therefore easily adopted for similarenvironments.
Monotonic transition based forward body bias for dual threshold voltage low power embedded processors
S. Jayapal,Y. Manoli
Advances in Radio Science : Kleinheubacher Berichte , 2006,
Abstract: Dual threshold voltage and forward body bias techniques are effective ways to optimally balance the standby leakage power and performance. In this paper, we propose a novel fine-grained forward body biasing scheme for monotonic static logic circuits. In the proposed scheme, the forward body bias is applied to high threshold voltage of either the pull-up or the pull-down network based on the evaluation transition and the state of operation. This technique improves the low skew NAND and NOR circuit performance by 7% and 11%, high skew NAND and NOR by 8% and 13% respectively. It reduces both active and standby leakage power as compared to monotonic static CMOS with dual-VT technique. The simulations are carried out using 130 nm mixed mode process technology to validate our proposed technique.
Development and Validation of Stability Indicating RP-LC Method for Estimation of Ranolazine in Bulk and Its Pharmaceutical Formulations  [PDF]
Ganji Ramanaiah, D. Ramachandran, G. Srinivas, Jayapal Gowardhane, Purnachanda Rao, Srilakshmi. V
American Journal of Analytical Chemistry (AJAC) , 2012, DOI: 10.4236/ajac.2012.35050
Abstract: An isocratic reverse phase liquid chromatography (RP-LC) method has been developed and subsequently validated for the determination of Ranolazine in Bulk and its pharmaceutical formulation. Separation was achieved with a X-terra RP-18 ((Make: Waters Corporation; 150 mm × 4.6 mm I.D.; particle size 5 μm)) Column and Sodium di-hydrogen phosphate monohydrate buffer with Tri ethyl amine (pH adjusted to 5.0 with diluted orthophosphoric acid): Acetonitrile (600:400) v/v as eluent at a flow rate of 1.0 mL/min. UV detection was performed at 225 nm. The method is simple, rapid, and selective. The described method of Ranolazine is linear over a range of 11.98 μg/mL to 37.92 μg/mL. The method precision for the determination of assay was below 1.0%RSD. The percentage recoveries of active pharmaceutical ingredient (API) from dosage forms ranged from 99.1% to 100.9%. The results showed that the proposed method is suitable for the precise, accurate and rapid determination of Ranolazine in bulk, its capsule dosage forms.
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