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 Article10.9734/BJMCS/2015/13726
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 Article10.9734/BJMCS/2015/13866
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 Article10.9734/BJMCS/2015/14006
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 Article10.9734/BJMCS/2015/13066
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 Article10.9734/BJMCS/2015/14237
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 Article10.9734/BJMCS/2015/13435
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 Article10.9734/BJMCS/2015/13876
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 Article10.9734/BJMCS/2015/14231
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 Article10.9734/BJMCS/2015/13387
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 Article10.9734/BJMCS/2015/14212