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On Another Type of Transform Called Rangaig Transform 另一种变换叫做Rangaig变换
Differential Equations and Applications Pub Date : 2017-12-19 DOI: 10.12691/IJPDEA-5-1-6
Norodin A. Rangaig, Norhamida D. Minor, G. F. Penonal, Jae Lord Dexter C. Filipinas, V. Convicto
{"title":"On Another Type of Transform Called Rangaig Transform","authors":"Norodin A. Rangaig, Norhamida D. Minor, G. F. Penonal, Jae Lord Dexter C. Filipinas, V. Convicto","doi":"10.12691/IJPDEA-5-1-6","DOIUrl":"https://doi.org/10.12691/IJPDEA-5-1-6","url":null,"abstract":"A new Integral Transform was introduced in this paper. Fundamental properties of this transform were derived and presented such as the convolution identity, and step Heaviside function. It is proven and tested to solve some basic linear-differential equations and had succesfully solved the Abel's Generalized equation and derived the Volterra Integral Equation of the second kind by means of Initial Value Problem. The Natural Logarithm (e.g logex=lnx) has been established and defined by means of modifying the Euler Definite Integral based on the Rangaig's fomulation. Hence, this transform may solve some different kind of integral and differential equations and it competes with other known transforms like Laplace, Sumudu and Elzaki Transform. Keywords: Rangaig Transform, Integral Transform, linear ordinary differential function, Integro-differential equation, Convolution Theorem.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"5 1","pages":"42-48"},"PeriodicalIF":0.0,"publicationDate":"2017-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85401441","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}
引用次数: 4
Optimization of Wealth Investment Strategies for a DC Pension Fund with Stochastic Salary and Extra Contributions 具有随机工资和额外缴费的DC型养老基金财富投资策略优化
Differential Equations and Applications Pub Date : 2017-12-16 DOI: 10.12691/IJPDEA-5-1-5
E. Akpanibah, B. Osu, C. NjokuK.N., Eyo O. Akak
{"title":"Optimization of Wealth Investment Strategies for a DC Pension Fund with Stochastic Salary and Extra Contributions","authors":"E. Akpanibah, B. Osu, C. NjokuK.N., Eyo O. Akak","doi":"10.12691/IJPDEA-5-1-5","DOIUrl":"https://doi.org/10.12691/IJPDEA-5-1-5","url":null,"abstract":"We studied optimal investment strategies for a plan contributor in a defined pension scheme, with stochastic salary and extra contributions, under the affine interest rate model. We considered two cases; where the extra contribution rates are stochastic and constant. We considered investment in three different assets namely risk free asset (cash), zero coupon bonds and the risky asset (stock). Using Legendre transformation method and dual theory, we obtained the optimal investment strategies the three investments using exponential utility function for the two cases. The result shows that the strategies for the respective investments used when there is no extra contribution can be used when the extra contribution rate is constant as in [1] but cannot be used when it is stochastic. Clearly this gives the member and the fund manager good insight on how to invest to maximize profit with minimal risk once this condition arises.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"9 1","pages":"33-41"},"PeriodicalIF":0.0,"publicationDate":"2017-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74651048","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}
引用次数: 7
The Modified Bi-quintic B-spline Base Functions: An Application to Diffusion Equation 修正双五次b样条基函数在扩散方程中的应用
Differential Equations and Applications Pub Date : 2017-08-11 DOI: 10.12691/IJPDEA-5-1-4
S. Kutluay, N. Yağmurlu
{"title":"The Modified Bi-quintic B-spline Base Functions: An Application to Diffusion Equation","authors":"S. Kutluay, N. Yağmurlu","doi":"10.12691/IJPDEA-5-1-4","DOIUrl":"https://doi.org/10.12691/IJPDEA-5-1-4","url":null,"abstract":"In this paper, the bi-quintic B-spline base functions are modified on a general 2-dimensional problem and then they are applied to two-dimensional Diffusion problem in order to obtain its numerical solutions. The computed results are compared with the results given in the literature.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"43 1","pages":"26-32"},"PeriodicalIF":0.0,"publicationDate":"2017-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89961062","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}
引用次数: 1
Solving the Nonlinear Two-Dimension Wave Equation Using Dual Reciprocity Boundary Element Method 用对偶互易边界元法求解非线性二维波动方程
Differential Equations and Applications Pub Date : 2017-06-23 DOI: 10.12691/IJPDEA-5-1-3
Kumars Mahmoodi, H. Ghassemi, A. Heydarian
{"title":"Solving the Nonlinear Two-Dimension Wave Equation Using Dual Reciprocity Boundary Element Method","authors":"Kumars Mahmoodi, H. Ghassemi, A. Heydarian","doi":"10.12691/IJPDEA-5-1-3","DOIUrl":"https://doi.org/10.12691/IJPDEA-5-1-3","url":null,"abstract":"The boundary element method (BEM) is a very effective numerical tool which has been widely applied in engineering problems. Wave equation is a very important equation in applied mathematics with many applications such as wave propagation analysis, acoustics, dynamics, health monitoring and etc. This paper presents to solve the nonlinear 2-D wave equation defined over a rectangular spatial domain with appropriate initial and boundary conditions. Numerical solutions of the governing equations are obtained by using the dual reciprocity boundary element method (DRBEM). Two-dimension wave equation is a time-domain problem, with three independent variables . At the first the Laplace transform is used to reduce by one the number of independent variables (in the present work ), then Salzer's method which is an effective numerical Laplace transform inversion algorithm is used to recover the solution of the original equation at time domain. The present method has been successfully applied to 2-D wave equation with satisfactory accuracy.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"30 1","pages":"19-25"},"PeriodicalIF":0.0,"publicationDate":"2017-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73550089","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}
引用次数: 5
Artificial Neural Network for Solving Fuzzy Differential Equations under Generalized H – Derivation 广义H -导数下求解模糊微分方程的人工神经网络
Differential Equations and Applications Pub Date : 2017-04-22 DOI: 10.12691/IJPDEA-5-1-1
M. H. Suhhiem
{"title":"Artificial Neural Network for Solving Fuzzy Differential Equations under Generalized H – Derivation","authors":"M. H. Suhhiem","doi":"10.12691/IJPDEA-5-1-1","DOIUrl":"https://doi.org/10.12691/IJPDEA-5-1-1","url":null,"abstract":"The aim of this work is to present a novel approach based on the artificial neural network for finding the numerical solution of first order fuzzy differential equations under generalized H-derivation. The differentiability concept used in this paper is the generalized differentiability since a fuzzy differential equation under this differentiability can have two solutions. The fuzzy trial solution of fuzzy initial value problem is written as a sum of two parts. The first part satisfies the fuzzy condition, it contains no adjustable parameters. The second part involves feed-forward neural networks containing adjustable parameters. Under some conditions the proposed method provides numerical solutions with high accuracy.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"75 1","pages":"1-9"},"PeriodicalIF":0.0,"publicationDate":"2017-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86288430","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}
引用次数: 3
Study of a System of Convection-Diffusion-Reaction 对流-扩散-反应体系的研究
Differential Equations and Applications Pub Date : 2017-01-07 DOI: 10.12691/IJPDEA-4-2-3
S. Lecheheb, Hakim Lakhal, Maouni Messaoud, K. Slimani
{"title":"Study of a System of Convection-Diffusion-Reaction","authors":"S. Lecheheb, Hakim Lakhal, Maouni Messaoud, K. Slimani","doi":"10.12691/IJPDEA-4-2-3","DOIUrl":"https://doi.org/10.12691/IJPDEA-4-2-3","url":null,"abstract":"In this article, we are interested in the study of the existence of weak solutions of boundary value problem for the nonlinear elliptic system , where Ω is a bounded domain in and are continuous functions . We use the Leray-Schauder degree theory under not linear for the three reasons: the terms of diffusion, convection and reaction, and the following condition on the last term f and and","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"34 1","pages":"32-37"},"PeriodicalIF":0.0,"publicationDate":"2017-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77547552","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}
引用次数: 1
Area integrals and the exponential square theorem for elliptic operators with coefficients supported in Whitney type cubes 惠特尼型立方体中带系数椭圆算子的面积积分和指数平方定理
Differential Equations and Applications Pub Date : 2017-01-01 DOI: 10.7153/DEA-2017-09-23
Marysol Navarro-Burruel, J. Rivera-Noriega
{"title":"Area integrals and the exponential square theorem for elliptic operators with coefficients supported in Whitney type cubes","authors":"Marysol Navarro-Burruel, J. Rivera-Noriega","doi":"10.7153/DEA-2017-09-23","DOIUrl":"https://doi.org/10.7153/DEA-2017-09-23","url":null,"abstract":"We provide a direct proof of a result comparing the area functions of solutions of two second order linear elliptic operators, when the discrepancy between their main coefficients is supported on Whitney type cubes of the unit ball of n dimensional Euclidean space. Our arguments are specialized to this type of operators, and the vanishing Carleson condition that we adopt is inspired by work of C. Sweezy. The comparison between area functions implies the preservation of the so called exponential square theorem assuming the aforementioned discrepancy of the coefficients. Mathematics subject classification (2010): 42B25, 42B35, 31A20.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"13 1","pages":"311-325"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86944934","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}
引用次数: 0
Asymptotic behavior of solutions of impulsive neutral differential equations with constant jumps 常跳脉冲中立型微分方程解的渐近性质
Differential Equations and Applications Pub Date : 2017-01-01 DOI: 10.7153/DEA-09-20
Cholticha Nuchpong, S. Ntouyas, P. Thiramanus, J. Tariboon
{"title":"Asymptotic behavior of solutions of impulsive neutral differential equations with constant jumps","authors":"Cholticha Nuchpong, S. Ntouyas, P. Thiramanus, J. Tariboon","doi":"10.7153/DEA-09-20","DOIUrl":"https://doi.org/10.7153/DEA-09-20","url":null,"abstract":"In this paper, we investigate the asymptotic behavior of solutions for a class of mixed type impulsive neutral delay differential equations with constant jumps. Sufficient conditions are given to guarantee that every non-oscillatory solution of the system tends to zero as t → ∞ . An example illustrating the result is also presented.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"4 1","pages":"263-264"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83261614","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}
引用次数: 3
Solutions for a second-order Delay differential inclusion on the half-line with boundary values 带边值的半线上二阶时滞微分包含的解
Differential Equations and Applications Pub Date : 2017-01-01 DOI: 10.7153/DEA-2017-09-37
John S. Spraker
{"title":"Solutions for a second-order Delay differential inclusion on the half-line with boundary values","authors":"John S. Spraker","doi":"10.7153/DEA-2017-09-37","DOIUrl":"https://doi.org/10.7153/DEA-2017-09-37","url":null,"abstract":"In [15], Wei solved a delay differential equation on the half-line. The current paper is an extension of these results to the set-valued case. The results involve measurable selections and the contraction mapping theorem for set-valued functions.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"33 1","pages":"543-552"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81290183","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}
引用次数: 0
Multiple positive solutions for nonlocal boundary value problems with p-Laplacian operator 带p-拉普拉斯算子的非局部边值问题的多个正解
Differential Equations and Applications Pub Date : 2017-01-01 DOI: 10.7153/dea-2017-09-36
Sheng-Ping Wang
{"title":"Multiple positive solutions for nonlocal boundary value problems with p-Laplacian operator","authors":"Sheng-Ping Wang","doi":"10.7153/dea-2017-09-36","DOIUrl":"https://doi.org/10.7153/dea-2017-09-36","url":null,"abstract":"","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"83 1","pages":"533-542"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81077771","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}
引用次数: 0
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