{"title":"Existence of Solutions for a Class of Kirchhoff-type Equation with Nonstandard Growth","authors":"Z. Yucedag, R. Ayazoğlu","doi":"10.13189/UJAM.2014.020504","DOIUrl":"https://doi.org/10.13189/UJAM.2014.020504","url":null,"abstract":"This paper is concerned with the existence of solutions to a class p(x)-Kirchhoff type problem with Dirichlet boundary data. Using a direct variational approach and the theory of the variable exponent Lebesque-Sobolev spaces, we establish some conditions that ensure the existence of nontrivial weak solutions.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"187 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116394131","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Pulse Vaccination Strategy in a SVEIRS Epidemic Model with Two-Time Delay and Saturated Incidence","authors":"G. Bolarin, O. Bamigbola","doi":"10.13189/UJAM.2014.020505","DOIUrl":"https://doi.org/10.13189/UJAM.2014.020505","url":null,"abstract":"Finding the best way to vaccinate people against infectious disease is an important issue for health workers. In this study a compartmental two-time delay SVEIRS mathematical model with pulse vaccination and saturated incidence was formulated to examine the dynamics of infectious disease in a population. The existence of the disease free periodic solution was established and the compact form was derived. From our study, it was discovered that short pulse vaccination or long latent period or long immune period will guarantee eradication of the disease in the population. Lastly, the conditions for the incurability of the disease were examined.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114936053","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Beal’s Conjecture on the Polynomials with Root of Powers","authors":"Enfer Diez","doi":"10.13189/UJAM.2014.020405","DOIUrl":"https://doi.org/10.13189/UJAM.2014.020405","url":null,"abstract":"In this paper I present a polynomial different from of Euler, Genochi, Bernoulli and Bernstein. Ere different because each of them has a specific purpose is to say that each of these polynomials corresponds to a power of an integer and therefore exist as many polynomials as powers of integers. These polynomialsa are characterized by the same source (generatriz) and for this reason it is shown that: the sum of two such polynomials never is a third polynomial root corresponding to a power of an integer. This shows absolutely, Beal’s conjecture and again on T. Fermat. I think both Pierre Fermat and Andrew Beal were aware of these polynomials before stating his conjecture.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122789729","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Gaussian Beam Propagation through a Metamaterial Lens","authors":"Hong Zhou","doi":"10.13189/UJAM.2014.020404","DOIUrl":"https://doi.org/10.13189/UJAM.2014.020404","url":null,"abstract":"We study a Gaussian beam propagation through a metamaterial lens by direct numerical simulations using COMSOL. We find that a metamaterial lens can deflect the beam significantly by either adjusting the shape of the lens or increasing the dielectric permittivity of the metamaterials.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133745337","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A New Inversion Formula for Laplace Transforms and the Notion of Evenness","authors":"Andrey Pavlov V.","doi":"10.13189/ujam.2014.020305","DOIUrl":"https://doi.org/10.13189/ujam.2014.020305","url":null,"abstract":"","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129947920","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analytical Solutions of the Riccati Equation with Coefficients Satisfying Integral or Differential Conditions with Arbitrary Functions","authors":"T. Harko, F. Lobo, M. Mak","doi":"10.13189/ujam.2014.020206","DOIUrl":"https://doi.org/10.13189/ujam.2014.020206","url":null,"abstract":"Ten new exact solutions of the Riccati equation dy/dx = a(x) + b(x)y + c(x)y 2 are presented. The solutions are obtained by assuming certain relations among the coefficients a(x), b(x) and c(x) of the Riccati equation, in the form of some integral or differential expressions, also involving some arbitrary functions. By ap- propriately choosing the form of the coefficients of the Riccati equation, with the help of the conditions imposed on the coefficients, we obtain ten new integrability cases for the Riccati equation. For each case the general solution of the Riccati equation is also presented. The possibility of the application of the obtained mathematical results for the study of anisotropic general relativistic stellar models is also briefly considered.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126092006","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Homotopy Perturbation Method for Solving a Spatially Flat FRW Cosmological Model","authors":"V. Shchigolev","doi":"10.13189/ujam.2014.020204","DOIUrl":"https://doi.org/10.13189/ujam.2014.020204","url":null,"abstract":"In the present paper, we study a homo- geneous cosmological model in Friedmann-Robertson- Walker (FRW) space-time by means of the so-called Homotopy Perturbation Method (HPM). First, we briefly recall the main equations of the cosmological model and the basic idea of HPM. Next we consider the test example when the exact solution of the model is known, in order to approbate the HPM in cosmology and present the main steps in solving by this method. Finally, we obtain a solution for the spatially flat FRW model of the universe filled with the dust and quintessence when the exact solution cannot be found. A comparison of our solution with the corresponding numerical solution shows that it is of a high degree of accuracy.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127714075","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The General Two Dimensional Shifted Jacobi Matrix Method for Solving the Second Order Linear Partial Difference-differential Equations with Variable Coefficients","authors":"Z. K. Bojdi, S. Ahmadi-Asl, A. Aminataei","doi":"10.13189/UJAM.2013.010217","DOIUrl":"https://doi.org/10.13189/UJAM.2013.010217","url":null,"abstract":"In this paper, a new and efficient approach for numerical approximation of second order linear partial differential-difference equations (PDDEs) with variable coefficients is introduced. Explicit formulae which express the two dimensional Jacobi expansion coefficients for the derivatives and moments of any differentiable function in terms of the original expansion coefficients of the function itself are given in the matrix form. The main importance of this scheme is that using this approach reduces solving the general linear PDDEs to solve a system of linear algebraic equations, wherein greatly simplify the problem. In addition, some experiments are given to demonstrate the validity and applicability of the method.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129309444","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Blind Channel Equalization by Adaptive Filter Algorithms","authors":"Said Elkassimi, S. Safi, B. Manaut","doi":"10.13189/UJAM.2017.050301","DOIUrl":"https://doi.org/10.13189/UJAM.2017.050301","url":null,"abstract":"This paper proposes an algorithm based on ZF and MMSE methods for blind channel equalization, which is compared with adaptive filter algorithms which are Constant Modulus Algorithm (CMA), Fractional Space CMA (FSCMA) and Sign Kurtosis Maximization Adaptive Algorithm (SKMAA). The simulations show that the proposed algorithm gives satisfied result versus CMA, FSCMA and SKMAA algorithms. The study is done under certain conditions, it is implemented in noisy environment, for different number of symbols and different SNR values with QPSK modulation. Equalization of channel is more performing if we use the proposed algorithms.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121236870","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Ratio-dependent Eco-epidemiological Model Incorporating a Prey Refuge","authors":"A. K. Pal, G. Samanta","doi":"10.13189/UJAM.2013.010208","DOIUrl":"https://doi.org/10.13189/UJAM.2013.010208","url":null,"abstract":"The present paper deals with the problem of a ratio-dependent predator-prey model incorporating a prey refuge with disease in the prey-population. We assume the predator population will prefer only infected population for their diet as those are more vulnerable. Dynamical behaviours such as boundedness, local and global stability are addressed. We have also studied the effect of discrete time delay on the model. Computer simulations are carried out to illustrate our analytical findings.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124129277","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}