International Journal of Difference Equations最新文献

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Enhanced Cuckoo Intelligence Search Algorithm 增强布谷鸟智能搜索算法
International Journal of Difference Equations Pub Date : 2021-06-30 DOI: 10.37622/ijde/16.1.2021.95-105
I. I. Aina, O. J. Peter, A. Ayoade, F. Oguntolu, M. Oluwayemi
{"title":"Enhanced Cuckoo Intelligence Search Algorithm","authors":"I. I. Aina, O. J. Peter, A. Ayoade, F. Oguntolu, M. Oluwayemi","doi":"10.37622/ijde/16.1.2021.95-105","DOIUrl":"https://doi.org/10.37622/ijde/16.1.2021.95-105","url":null,"abstract":"Cuckoo Search (CS) algorithm is a meta-heuristic technique that displays several merits. For example, it is easier to apply and less tuning parameters also, it is suitable for solving optimization problems. However, easily fall into local optimum has been established and has a slow convergence rate as a result of the cuckoo search parameters being kept constant. Therefore to handle this issue, an Enhanced Cuckoo Intelligence Search (ECIS) algorithm was developed which is an upgraded CS algorithm. The efficiency of ECIS was tested by some benchmark constrained optimization test functions and it was shown that ECIS gives a better optimal value than CS.","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"35 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85425192","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
New Oscillation Criteria for Half-Linear Second-Order Neutral Advanced Difference Equations 半线性二阶中立型高级差分方程的新振动判据
International Journal of Difference Equations Pub Date : 2021-06-30 DOI: 10.37622/ijde/16.1.2021.107-122
P. Selvakumar, P. Gopalakrishnan, A. Murugesan
{"title":"New Oscillation Criteria for Half-Linear Second-Order Neutral Advanced Difference Equations","authors":"P. Selvakumar, P. Gopalakrishnan, A. Murugesan","doi":"10.37622/ijde/16.1.2021.107-122","DOIUrl":"https://doi.org/10.37622/ijde/16.1.2021.107-122","url":null,"abstract":"We obtained oscillation criteria for the second-order half-linear neutral advanced difference equations of the kind ∆(α(ζ)(∆w(ζ))) + η(ζ)y(ζ + κ) = 0; ζ ≥ ζ0, where w(ζ) = y(ζ) + p(ζ)y(ζ + ξ). We provide a new oscillation condition, which significantly improves the existing ones, by providing a new axiom bound for a non-oscillatory solution. The derived oscillation constant is unimprovable in a certain nonneutral case. 2020 Mathematics Subject Classifications: 39A12, 39A13, 39A21.","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84069657","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
A Comparative Study of Approximate Solution of Fifth-order Boundary-value Problems by Applying HaarWavelets Technique and Galerkin Method with Quartic B-splines 四次b样条下haar小波与Galerkin方法在五阶边值问题近似解中的比较研究
International Journal of Difference Equations Pub Date : 2021-06-30 DOI: 10.37622/ijde/16.1.2021.59-79
K. Yadav
{"title":"A Comparative Study of Approximate Solution of Fifth-order Boundary-value Problems by Applying HaarWavelets Technique and Galerkin Method with Quartic B-splines","authors":"K. Yadav","doi":"10.37622/ijde/16.1.2021.59-79","DOIUrl":"https://doi.org/10.37622/ijde/16.1.2021.59-79","url":null,"abstract":"Wavelet analysis is well developed mathematical tool which can be also applied in numerical analysis. Here application of the Haar wavelet techniques has been discussed for finding numerical solution of fifth-order boundary value problems. Accuracy of the considered technique is demonstrated by means of three numerical examples, taken from well existing research article. Mathematics Subject Classification (2000). 65L10, 65T60.","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"115 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80833640","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
A Nonlocal (Two-point with Parameters) Boundary Value Problem of Differential Inclusion 微分包含的非局部(带参数的两点)边值问题
International Journal of Difference Equations Pub Date : 2021-06-30 DOI: 10.37622/ijde/16.1.2021.19-34
A. El-Sayed, W. El-Sayed, Somyya S. Amrajaa
{"title":"A Nonlocal (Two-point with Parameters) Boundary Value Problem of Differential Inclusion","authors":"A. El-Sayed, W. El-Sayed, Somyya S. Amrajaa","doi":"10.37622/ijde/16.1.2021.19-34","DOIUrl":"https://doi.org/10.37622/ijde/16.1.2021.19-34","url":null,"abstract":"Here, we study the existence of solutions of a nonlocal two-point with parameters boundary value problem of a first order nonlinear differential inclusion. The maximal and minimal solutions will be studied. The continuous dependence of the unique solution on the parameters of the nonlocal condition will be proved. The anti-periodic boundary value problem will be considered as an application","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"28 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84901203","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
Laplace Transform of Discriminant for Functions of Second Variable and its Generalized Form 二阶函数的判别式拉普拉斯变换及其广义形式
International Journal of Difference Equations Pub Date : 2021-06-30 DOI: 10.37622/ijde/16.1.2021.11-17
Hwajoon Kim
{"title":"Laplace Transform of Discriminant for Functions of Second Variable and its Generalized Form","authors":"Hwajoon Kim","doi":"10.37622/ijde/16.1.2021.11-17","DOIUrl":"https://doi.org/10.37622/ijde/16.1.2021.11-17","url":null,"abstract":"","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76545256","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
Subclasses of Univalent Functions Involving Modified Sigmoid Function 涉及修正Sigmoid函数的一元函数的子类
International Journal of Difference Equations Pub Date : 2021-06-30 DOI: 10.37622/ijde/16.1.2021.81-93
O. Fadipe-Joseph, M. Oluwayemi, E. Titiloye
{"title":"Subclasses of Univalent Functions Involving Modified Sigmoid Function","authors":"O. Fadipe-Joseph, M. Oluwayemi, E. Titiloye","doi":"10.37622/ijde/16.1.2021.81-93","DOIUrl":"https://doi.org/10.37622/ijde/16.1.2021.81-93","url":null,"abstract":"The authors obtained some geometric results on certain new classes of analytic functions involving sigmoid function defined by Fadipe-Joseph et. al. 2016 as Tγ(λ, β, α, μ). Extreme point property, radius of starlikeness and convexity, convolution property and Fekete-Szego inequality for the class were proved.","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"2015 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86968848","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
Results on the Existence of Solutions of Sobolev-Type Volterra-Fredholm Integro-Differential Equations sobolev型Volterra-Fredholm积分-微分方程解存在性的结果
International Journal of Difference Equations Pub Date : 2021-06-30 DOI: 10.37622/ijde/16.1.2021.47-57
Yogita m. Ahire, N. M. Mohammed, Ahmed A. Hamoud
{"title":"Results on the Existence of Solutions of Sobolev-Type Volterra-Fredholm Integro-Differential Equations","authors":"Yogita m. Ahire, N. M. Mohammed, Ahmed A. Hamoud","doi":"10.37622/ijde/16.1.2021.47-57","DOIUrl":"https://doi.org/10.37622/ijde/16.1.2021.47-57","url":null,"abstract":"In this study, the semigroup theory and the Schauder fixed point theorem are applied to prove the existence and uniqueness of mild and strong solutions of a nonlinear Volterra-Fredholm integro-differential equation of Sobolev type with nonlocal condition.","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76779833","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
New Oscillation Conditions for Second-Order Delay Difference Equations with Several Sub-Linear Neutral Terms 具有几个次线性中立项的二阶时滞差分方程的新振荡条件
International Journal of Difference Equations Pub Date : 2021-06-30 DOI: 10.37622/ijde/16.1.2021.123-135
C. Rajan, A. Murugesan, P. Gopalakrishnan
{"title":"New Oscillation Conditions for Second-Order Delay Difference Equations with Several Sub-Linear Neutral Terms","authors":"C. Rajan, A. Murugesan, P. Gopalakrishnan","doi":"10.37622/ijde/16.1.2021.123-135","DOIUrl":"https://doi.org/10.37622/ijde/16.1.2021.123-135","url":null,"abstract":"We derive oscillatory conditions for the second-order delay difference equation ∆ ( φ(ζ)(∆v(ζ)) ) + μ(ζ)x(η(ζ)) = 0; ζ ≥ ζ0, where v(ζ) = x(ζ) + ∑m i=1 pi(ζ)x i(κi(ζ)). We investigate oscillatory behavior for the cases when ξ > ν and ξ < ν. Many results presented in the literature are supplemented and improved by this new theorem. Finally, we give some examples to show our major findings. 2020 Mathematics Subject Classifications: 39A12, 39A13, 39A21.","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"53 3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75445983","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
Efficiency Sample From Some Sampling Distributions 一些抽样分布的效率样本
International Journal of Difference Equations Pub Date : 2021-06-30 DOI: 10.37622/ijde/16.1.2021.169-178
Mohammed Elmoudier, M. Gobar
{"title":"Efficiency Sample From Some Sampling Distributions","authors":"Mohammed Elmoudier, M. Gobar","doi":"10.37622/ijde/16.1.2021.169-178","DOIUrl":"https://doi.org/10.37622/ijde/16.1.2021.169-178","url":null,"abstract":"This paper introduces a method to evaluate the efficiency of a random sample from some sampling distributions. The Shannon entropy and A-entropy are considered to calculate the efficiency of such samples. The obtained results are discussed. An example is given to illustrate the computations of efficiency of random sample from the geometric, binomial and Poisson distributions.","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"18 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78977110","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
The Solution of Exponential Growth and Exponential Decay by Using Laplace Transform 用拉普拉斯变换解指数增长与指数衰减
International Journal of Difference Equations Pub Date : 2020-12-30 DOI: 10.37622/IJDE/15.2.2020.191-195
Haegyeong Han, Hwajoon Kim
{"title":"The Solution of Exponential Growth and Exponential Decay by Using Laplace Transform","authors":"Haegyeong Han, Hwajoon Kim","doi":"10.37622/IJDE/15.2.2020.191-195","DOIUrl":"https://doi.org/10.37622/IJDE/15.2.2020.191-195","url":null,"abstract":"We consider the solution of exponential growth and exponential decay by using Laplace transform. In that an arbitrary constant can be specifically expressed as the initial value, the proposed method has a meaning.","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"40 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77503047","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
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