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All published articles 118074

Existence of Coupled Quasi-solutions of Nonlinear Integro-Differential Equations of Volterra Type in Banach Spaces

Yan Liang · Journal of Advances in Mathematics and Computer Science · 2014

We study an initial value problem for a class of integro-differential equations of Volterra type in a real Banach space. Using method of upper and lower solutions and M¨onch and Von Harten theorem, we obtain an existence theorem of coupled quasi-solutions, which is an extension o...

Open access Research Article 10.9734/BJMCS/2015/13726

On Some New Nonlinear Retarded Integral Inequalities with Iterated Integrals and their Applications in Integro-Differential Equations

A. Abdeldaim & A. A. El-Deeb · Journal of Advances in Mathematics and Computer Science · 2014

In this paper, some new generalized retarded nonlinear integral inequalities of Gronwall-Bellman type are discussed. The upper bounds estimation of the embedded unknown functions are discussed by integral and differential techniques. Our results generalize some inequalities of H....

Open access Research Article 10.9734/BJMCS/2015/13866

Existence of Nonoscillatory Solutions of Higher Order Forced Neutral Dynamic Equations with Time Delay on Time Scales

Jinjun Fan & Xiaodong Lu · Journal of Advances in Mathematics and Computer Science · 2014

The existence of nonoscillatory solutions of a class of higher order forced neutral dynamic equations with time delay on time scales is discussed. The main tool is the Banach fixed point theorem. Based on the different values of p(t), we give several existence theorems of nonosci...

Open access Research Article 10.9734/BJMCS/2015/14006

Forecasting the Yield of Academic Software Investments in Nigerian Universities

Abejide Ade-Ibijola, Elizabeth Y. Ibijola & Babakemi Ade-Ibijola · Journal of Advances in Mathematics and Computer Science · 2014

This paper presents a mathematical model (with computer simulation) for forecasting the profits of buying software for the automation of established processes in the Nigerian University System. The mathematical model uses certain assumptions to provide a basis for iterative estim...

Open access Research Article 10.9734/BJMCS/2015/13066

Controlled Variational Iteration Method for Bratu Equation Arising in Electro-Spun Organic Nanofibers Elaboration

Mohamed M. Mousa · Journal of Advances in Mathematics and Computer Science · 2014

In this paper, an effective formulation of the variational iteration method is suggested for solving Bratu equation arising in electro-spinning. The suggested formulation depends on embedding a nonzero auxiliary parameter that controls the solution convergence region. An alternat...

Open access Research Article 10.9734/BJMCS/2015/14237

Improved Power System State Estimation by Selected Node Technique

H. Nagaraja Udupa & H. Ravishankar Kamath · Journal of Advances in Mathematics and Computer Science · 2014

The state estimator is integral part of any Energy Management System. First and foremost the state estimation must be executed followed by system control, tie-line control, economic dispatch, security analysis etc. Most importantly the system voltage controls and the tie-line pow...

Open access Research Article 10.9734/BJMCS/2015/13435

On a Local Equality of Distributions and Relation of Jumps of Distributions with Fourier Series

Egzona Iseni, Shpetim Rexhepi & Halil Snopce · Journal of Advances in Mathematics and Computer Science · 2014

Distribution theory has an important role in applied mathematics. Firstly, in the introduction part of this paper we will give some general notations, definitions and results in distribution theory, as analytic representation of distribution, distributional jump behavior, distrib...

Open access Research Article 10.9734/BJMCS/2015/13876

Overview of Graph Colouring and some Ramsey-type Numbers

Benjamin Fraser & Tzvetalin S. Vassilev · Journal of Advances in Mathematics and Computer Science · 2014

We introduce the concept of graph colouring and discuss some classical results in this area. In particular, we consider the problem of finding the minimal graphs, complete or not, whose vertex or edge colouring contains or avoids certain subgraphs. This is generally known as Rams...

Open access Research Article 10.9734/BJMCS/2015/14231

Study of exp(-Φ(ξ))-expansion Method for Solving Nonlinear Partial Differential Equations

S. M. Rayhanul Islam, Kamruzzaman Khan & M. Ali Akbar · Journal of Advances in Mathematics and Computer Science · 2014

In this work we study the Gardner equation or the combined KdV-mKdV equation. We use the exp(-Φ(ξ))-expansion method for a reliable treatment to establish exact traveling wave solutions then the solitary wave solutions for the aforementioned nonlinear partial differential equatio...

Open access Research Article 10.9734/BJMCS/2015/13387

On the Entire Solutions of a Nonlinear Differential Equation of Hayman

Caiping Zhuo, Zanchun Wang & Weiran L¨u · Journal of Advances in Mathematics and Computer Science · 2014

Aims/ objectives: Hayman [1] proposed to study the meromorphic solutions of nonlinear differential equations of the form: where κj (j = 0; 1; 2; 3) are constants. In this note, by using a new method, we give a unified and simplified proof for these known results.

Open access Research Article 10.9734/BJMCS/2015/14212

Investigation of Allicin Stability in Aqueous Garlic Extract by High Performance Liquid Chromatography Method

Kenneth Chong, Martha P. Zamora, Dileshni A. Tilakawardane, Nancy E. Buckley, James A. Rego & Yan Liu · Journal of Scientific Research and Reports · 2014

Aims: The aims of this work were to quantify allicin - an abundant antioxidant in different aqueous garlic extract samples and to determine the stability of allicin in the extract under different thermal and solvation conditions. Study Design: Descriptive research. Place and Dura...

Open access Research Article 10.9734/JSRR/2015/14301

Ocular Rhinosporidiosis in a Nigerian Child: A Case Report and Literature Review from Niger Delta of Nigeria

E. P. Udoye, R. I. Azonobi & I. R. Opubiri · Journal of Scientific Research and Reports · 2014

Aim: The aim of this report is to raise the awareness of the existence of this rare ocular affliction in our locality and to highlight the importance of routine histopathological diagnosis of ocular mass lesions. Case Presentation: An 11 year old male school child presented to ou...

Open access Research Article 10.9734/JSRR/2015/14619

Adsorption and Optimization Studies of Congo Red from Solution Using Montmorillonite-Silica Nanocomposite

Shehu Zaccheus, Danbature Wilson Lamayi, Ayuba Linda & Bulama Bartholomew Mela · Current Journal of Applied Science and Technology · 2014

Congo red was removed on Montmorillonite-silica nanocomposite from solution by adsorption process. The adsorption parameters studied were adsorbent dose, initial concentration and contact time. The optimum adsorption parameters were found to be 2 mg/L, 1.5 g and 40 minutes for in...

Open access Research Article 10.9734/CJAST/2018/44464

Ecological Study of Carduus pycnocephalus L. Weed and Associated Species in Hamedan Province, Iran

Mehdi Heidarian, Sayed Mohammad Masoumi & Morteza Atri · Journal of Advances in Biology & Biotechnology · 2014

Slender thistle is one of the species of Asteraceae. It is native to: In the Mediterranean region of southern Europe, North Africa, West Asia, East Europe, Caucasus and the Indian subcontinent are scattered. This study carried out for determination associated species on intraspec...

Open access Research Article 10.9734/JABB/2015/11468

Effect of Temperature on the Iron Sulphur Ratio of Pyrite Deposited by Aerosol Assisted Chemical Vapour Deposition Method

Christian Nweze, Masood Akhtar, Mohammad Azad Malik, Paul O’Brien & Stella Ezeonu · Physical Science International Journal · 2014

Pyrite semiconducting film was deposited on a glass substrate from the single source precursor (Fe (S2CN(Et)2)3) by Aerosol Assisted Chemical Vapour Deposition (AACVD). The p-XRD pattern of the deposited films shows that pure pyrite was deposited at 300°C whereas mixture of pyrit...

Open access Research Article 10.9734/PSIJ/2015/12924