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Differential Equations and Applications最新文献

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Constructive existence results for solutions to systems of boundary value problems via general Lyapunov methods 用一般李雅普诺夫方法求边值问题系统解的构造存在性结果
Differential Equations and Applications Pub Date : 2017-01-01 DOI: 10.7153/DEA-09-05
J. Henderson, Q. Sheng, C. Tisdell
{"title":"Constructive existence results for solutions to systems of boundary value problems via general Lyapunov methods","authors":"J. Henderson, Q. Sheng, C. Tisdell","doi":"10.7153/DEA-09-05","DOIUrl":"https://doi.org/10.7153/DEA-09-05","url":null,"abstract":"In this work we consider boundary value problems (BVPs) for systems of secondorder, ordinary differential equations. A priori bounds on solutions are obtained via differential inequalities involving general Lyapunov functions without the need for maximum principles. These bounds are then applied to produce new existence theorems via topological methods. Some constructive results are also developed via A-proper mappings and the Galerkin method, in which solutions to the BVP may be approximated. Mathematics subject classification (2010): 34B15.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"11 1","pages":"57-68"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75181966","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
On nonlinear fractional-order boundary value problems with nonlocal multi-point conditions involving Liouville-Caputo derivative 含Liouville-Caputo导数的非局部多点非线性分数阶边值问题
Differential Equations and Applications Pub Date : 2017-01-01 DOI: 10.7153/DEA-09-12
R. Agarwal, A. Alsaedi, A. Alsharif, B. Ahmad
{"title":"On nonlinear fractional-order boundary value problems with nonlocal multi-point conditions involving Liouville-Caputo derivative","authors":"R. Agarwal, A. Alsaedi, A. Alsharif, B. Ahmad","doi":"10.7153/DEA-09-12","DOIUrl":"https://doi.org/10.7153/DEA-09-12","url":null,"abstract":"In this paper, we study some new nonlinear boundary value problems of LiouvilleCaputo type fractional differential equations supplemented with nonlocal multi-point conditions involving lower order fractional derivative. We make use of some well known tools of the fixed point theory to establish the existence of solutions for problems at hand. For illustration of the obtained results, several examples are discussed. Mathematics subject classification (2010): 34A08, 34B15.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"83 1","pages":"147-160"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83481160","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: 11
A new oscillatory criterion for the generalized Hill's equation 广义希尔方程的一个新的振荡判据
Differential Equations and Applications Pub Date : 2017-01-01 DOI: 10.7153/DEA-2017-09-26
G. Grigorian
{"title":"A new oscillatory criterion for the generalized Hill's equation","authors":"G. Grigorian","doi":"10.7153/DEA-2017-09-26","DOIUrl":"https://doi.org/10.7153/DEA-2017-09-26","url":null,"abstract":"In this note we use an oscillatory theorem for the second order linear ordinary differential equation in order to establish an oscillatory criterion for the generalized Hill’s equation. We formulate a hypothesis about representation of the sum of periodic functions with rational dependent periods by a sum of periodic functions with rational independent periods.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"22 1","pages":"369-377"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90954048","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: 2
The (p,q)-elliptic systems with concave-convex nonlinearities 具有凹凸非线性的(p,q)-椭圆系统
Differential Equations and Applications Pub Date : 2017-01-01 DOI: 10.7153/dea-2017-09-35
Xia Liu, Z. Ou
{"title":"The (p,q)-elliptic systems with concave-convex nonlinearities","authors":"Xia Liu, Z. Ou","doi":"10.7153/dea-2017-09-35","DOIUrl":"https://doi.org/10.7153/dea-2017-09-35","url":null,"abstract":"","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"7 1","pages":"521-531"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73526933","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: 2
Asymptotic behavior of positive solutions of a Lanchester-type model 一类lanchester型模型正解的渐近性态
Differential Equations and Applications Pub Date : 2017-01-01 DOI: 10.7153/dea-09-19
Tran Thi Nha Trang, H. Usami
{"title":"Asymptotic behavior of positive solutions of a Lanchester-type model","authors":"Tran Thi Nha Trang, H. Usami","doi":"10.7153/dea-09-19","DOIUrl":"https://doi.org/10.7153/dea-09-19","url":null,"abstract":"An ordinary differential system, referred to as Lanchester-type model, is treated. We examine how asymptotic behavior of every solution of the system varies according to the initial data. We can show the existence of critical values for initial data.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"61 1","pages":"241-252"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75633042","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
Ulam-Hyers-Rassias stability of a nonlinear stochastic integral equation of Volterra type Volterra型非线性随机积分方程的Ulam-Hyers-Rassias稳定性
Differential Equations and Applications Pub Date : 2017-01-01 DOI: 10.7153/DEA-09-15
Ngo Phuoc Nguyen Ngoc
{"title":"Ulam-Hyers-Rassias stability of a nonlinear stochastic integral equation of Volterra type","authors":"Ngo Phuoc Nguyen Ngoc","doi":"10.7153/DEA-09-15","DOIUrl":"https://doi.org/10.7153/DEA-09-15","url":null,"abstract":"The aim of this paper is to give some Ulam-Hyers-Rassias stability results for Volterratype stochastic integral equations. The argument makes use of Gronwall lemma and Banach’s fixed point theorem. Mathematics subject classification (2010): 60H20, 34K20, 26D10, 46C05.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"9 1","pages":"183-193"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82631177","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
Random Exponential Attractor and Equilibrium for a Stochastic Reaction-diffusion Equation with Multiplicative Noise 具有乘性噪声的随机反应扩散方程的随机指数吸引子与平衡
Differential Equations and Applications Pub Date : 2016-09-13 DOI: 10.12691/ijpdea-4-2-2
Gangwei Wang
{"title":"Random Exponential Attractor and Equilibrium for a Stochastic Reaction-diffusion Equation with Multiplicative Noise","authors":"Gangwei Wang","doi":"10.12691/ijpdea-4-2-2","DOIUrl":"https://doi.org/10.12691/ijpdea-4-2-2","url":null,"abstract":"In this paper, we present a result on existence of exponential attractors for abstract random dynamical systems, and then give a criterion for exponentially attractive property of random attractors. As an application, we first prove that the random dynamical system generated by a stochastic reaction-diffusion equation possesses a random exponential attractor. Then we show that the unique random equilibrium when the nonlinearity satisfies some restrictive condition is exactly an exponential attractor.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"27 1","pages":"25-31"},"PeriodicalIF":0.0,"publicationDate":"2016-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82793616","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
Fractional Black Scholes Option Pricing with Stochastic Arbitrage Return 随机套利收益的分数阶Black Scholes期权定价
Differential Equations and Applications Pub Date : 2016-08-18 DOI: 10.12691/ijpdea-4-2-1
B. Osu, Chukwunezu A. Ifeoma
{"title":"Fractional Black Scholes Option Pricing with Stochastic Arbitrage Return","authors":"B. Osu, Chukwunezu A. Ifeoma","doi":"10.12691/ijpdea-4-2-1","DOIUrl":"https://doi.org/10.12691/ijpdea-4-2-1","url":null,"abstract":"Option price and random arbitrage returns change on different time scales allow the development of an asymptotic pricing theory involving the options rather than exact prices. The role that random arbitrage opportunities play in pricing financial derivatives can be determined. In this paper, we construct Green’s functions for terminal boundary value problems of the fractional Black-Scholes equation. We follow further an approach suggested in literature and focus on the pricing bands for options that account for random arbitrage opportunities and got similar result for the fractional Black- Scholes option pricing.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"43 1","pages":"20-24"},"PeriodicalIF":0.0,"publicationDate":"2016-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77411268","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
Employment Higher Degree B-Spline Function for Solving Higher Order Differential Equations 利用高次b样条函数求解高阶微分方程
Differential Equations and Applications Pub Date : 2016-07-25 DOI: 10.12691/IJPDEA-4-1-3
K. Jwamer, I. N. Abdullah
{"title":"Employment Higher Degree B-Spline Function for Solving Higher Order Differential Equations","authors":"K. Jwamer, I. N. Abdullah","doi":"10.12691/IJPDEA-4-1-3","DOIUrl":"https://doi.org/10.12691/IJPDEA-4-1-3","url":null,"abstract":"As the B-spline method was developed for solving higher order differential equations, we present a brief survey to construct a higher degree B-spline. The new technique has been given in this field, accordingly a numerical illustration used to solve boundary value problems by employ quintic B-spline function. An example has been given for calculating maximum absolute error through n nodes.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"49 1","pages":"16-19"},"PeriodicalIF":0.0,"publicationDate":"2016-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83717672","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
Harmonic Oscillations and Resonances in 3-D Nonlinear Dynamical System 三维非线性动力系统中的谐波振荡与共振
Differential Equations and Applications Pub Date : 2016-07-20 DOI: 10.12691/IJPDEA-4-1-2
Usama H. Hegazy, Mousa A. ALshawish
{"title":"Harmonic Oscillations and Resonances in 3-D Nonlinear Dynamical System","authors":"Usama H. Hegazy, Mousa A. ALshawish","doi":"10.12691/IJPDEA-4-1-2","DOIUrl":"https://doi.org/10.12691/IJPDEA-4-1-2","url":null,"abstract":"This paper is concerned with the three dimensional motion of a nonlinear dynamical system. The motion is described by nonlinear partial differential equation, which is converted by Galerkin method to three dimensional ordinary differential equations. The three dimensional differential equations, under the influence of external forces, are solved analytically and numerically by the multiple time scales perturbation technique and the Runge-Kutta fourth order method. Phase plane technique and frequency response equations are used to investigate the stability of the system and the effects of the parameters of the system, respectively.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"19 1","pages":"7-15"},"PeriodicalIF":0.0,"publicationDate":"2016-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82193297","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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