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Differential Equations & Applications最新文献

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Optimal control for an ordinary differential equation online social network model 常微分方程在线社会网络模型的最优控制
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-13
L. Kong, Min Wang
{"title":"Optimal control for an ordinary differential equation online social network model","authors":"L. Kong, Min Wang","doi":"10.7153/dea-2022-14-13","DOIUrl":"https://doi.org/10.7153/dea-2022-14-13","url":null,"abstract":". In this paper, we propose a set of ordinary differential equation models for online social networks and then consider the optimal control problem subject to a type of objective functions. Numerical simulations are conducted to demonstrate the applications as well. Mathematics subject classi cation (2020): 49K15, 91D30, 92D25.","PeriodicalId":179999,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125701702","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
Infinitely many periodic solutions for anisotropic φ-Laplacian systems 各向异性φ- laplace系统的无穷多周期解
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-36
Sonia Acinas, F. Mazzone
{"title":"Infinitely many periodic solutions for anisotropic φ-Laplacian systems","authors":"Sonia Acinas, F. Mazzone","doi":"10.7153/dea-2022-14-36","DOIUrl":"https://doi.org/10.7153/dea-2022-14-36","url":null,"abstract":"","PeriodicalId":179999,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124501426","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
Space-time analytic smoothing effect for the nonlinear Schrödinger equations with nonlinearity of exponential type 非线性指数型Schrödinger方程的时空解析平滑效应
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2023-15-05
G. Hoshino
{"title":"Space-time analytic smoothing effect for the nonlinear Schrödinger equations with nonlinearity of exponential type","authors":"G. Hoshino","doi":"10.7153/dea-2023-15-05","DOIUrl":"https://doi.org/10.7153/dea-2023-15-05","url":null,"abstract":". In this paper, we consider the global Cauchy problem for the nonlinear Schr¨odinger equations with nonlinearity of exponential type in higher space dimensions n (cid:2) 2 . In particular, we study the global existence of the solutions to the Cauchy problem with small data in the framework of intersection of Sobolev and weighted Lebesgue space: H n / 2 ∩ F H n / 2 . More precisely, we show that if data decay exponentially in H n / 2 ∩ F H n / 2 then for any time t (cid:3) = 0 , solutions are real-analytic in both space and time variables and have analytic continuation.","PeriodicalId":179999,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126753945","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
Multiple solutions for a nonlinear discrete problem of the second order 二阶非线性离散问题的多重解
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-12
L. Kong, Min Wang
{"title":"Multiple solutions for a nonlinear discrete problem of the second order","authors":"L. Kong, Min Wang","doi":"10.7153/dea-2022-14-12","DOIUrl":"https://doi.org/10.7153/dea-2022-14-12","url":null,"abstract":". We study the existence of multiple nontrivial solutions of the second order discrete problem Our fi rst theorem provides criteria for the existence of at least two nontrivial solutions of the problem, and also fi nds conditions under which the two solutions are sign-changing. Our second theorem proves, under some appropriate assumptions, that the problem has at least three nontriv- ial solutions, one of which is positive, one is negative, and one is sign-changing. As applications of our theorems, we further obtain several existence results for an associated eigenvalue problem. We include two examples in the paper to show the applicability of our results. Our theorems are proved by employing variational approaches, combined with the classic mountain pass lemma and a result on the invariant sets of descending fl ow.","PeriodicalId":179999,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127011227","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
Exponential and Hyers-Ulam stability of impulsive linear system of first order 一阶脉冲线性系统的指数稳定性和Hyers-Ulam稳定性
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2023-15-01
Dildar Shah, U. Riaz, A. Zada
{"title":"Exponential and Hyers-Ulam stability of impulsive linear system of first order","authors":"Dildar Shah, U. Riaz, A. Zada","doi":"10.7153/dea-2023-15-01","DOIUrl":"https://doi.org/10.7153/dea-2023-15-01","url":null,"abstract":". In this manuscript, we study the exponential stability and Hyers–Ulam stability of the linear fi rst order impulsive differential system. We prove that the homogeneous impulsive system is exponentially stable if and only if the solution of the corresponding non-homogeneous impulsive system is bounded. Moreover, we prove that the system is Hyers–Ulam stable if and only if it is uniformly exponentially dichotomic. We obtain our results by using the spectral decomposition theorem. To illustrate our theoretical results, at the end we give an example.","PeriodicalId":179999,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126801097","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
Utilizing an integrating factor to convert a right focal boundary value problem to a fixed point problem 利用积分因子将右焦点边值问题转化为不动点问题
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-11
R. Avery, D. Anderson
{"title":"Utilizing an integrating factor to convert a right focal boundary value problem to a fixed point problem","authors":"R. Avery, D. Anderson","doi":"10.7153/dea-2022-14-11","DOIUrl":"https://doi.org/10.7153/dea-2022-14-11","url":null,"abstract":". An integrating factor is used to convert a conjugate boundary value problem to a fi xed point problem. We conclude with an application illustrating the ease of use in fi nding an upper solution to a family of boundary value problems that one can apply iteration to in order to solve when the nonlinear term is monotonic.","PeriodicalId":179999,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130010938","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
Three solutions for a new Kirchhoff-type problem 新kirchhoff型问题的三种解
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-01
Yue Wang, Qi-Ping Wei, Hong-Min Suo
{"title":"Three solutions for a new Kirchhoff-type problem","authors":"Yue Wang, Qi-Ping Wei, Hong-Min Suo","doi":"10.7153/dea-2022-14-01","DOIUrl":"https://doi.org/10.7153/dea-2022-14-01","url":null,"abstract":". This article concerns on the existence of multiple solutions for a Kirchhoff-type prob- lem with positive and negative modulus. By applying the variational methods and algebraic analysis, we prove that there exist the only three solutions when the parameter is absolutely small than a constant, only two solutions when the parameter is absolutely equals with the constant and an unique solution when the parameter is absolutely greater than the constant. Moreover, we use the algebraic analysis to calculating the constant with the help of one of the Mountain Pass Lemma, Ekeland variational principle, and Minimax principle.","PeriodicalId":179999,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116076786","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
Qualitative analysis of dynamic equations on time scales using Lyapunov functions 用李雅普诺夫函数定性分析时间尺度上的动力方程
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-14
E. Messina, Y. Raffoul, A. Vecchio
{"title":"Qualitative analysis of dynamic equations on time scales using Lyapunov functions","authors":"E. Messina, Y. Raffoul, A. Vecchio","doi":"10.7153/dea-2022-14-14","DOIUrl":"https://doi.org/10.7153/dea-2022-14-14","url":null,"abstract":". We employ Lyapunov functions to study boundedness and stability of dynamic equa- tions on time scales. Most of our Lyapunov functions involve the term | x | and its Δ -derivative. In particular, we prove general theorems regarding qualitative analysis of solutions of delay dynamical systems and then use Lyapunov functionals that partially include | x | to provide ex-amples.","PeriodicalId":179999,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133216111","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
p-deformation p-deformation
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-26
S. Hilger
{"title":"p-deformation","authors":"S. Hilger","doi":"10.7153/dea-2022-14-26","DOIUrl":"https://doi.org/10.7153/dea-2022-14-26","url":null,"abstract":"","PeriodicalId":179999,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124582146","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
On the stability of a viscoelastic Timoshenko system with Maxwell-Cattaneo heat conduction 具有Maxwell-Cattaneo热传导的粘弹性Timoshenko系统的稳定性
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-28
S. E. Mukiawa
{"title":"On the stability of a viscoelastic Timoshenko system with Maxwell-Cattaneo heat conduction","authors":"S. E. Mukiawa","doi":"10.7153/dea-2022-14-28","DOIUrl":"https://doi.org/10.7153/dea-2022-14-28","url":null,"abstract":". This paper discusses a thermoelastic Timoshenko system with viscoelastic damping acting on the shear force, and heat conduction given via Maxwell-Cattaneo’s law (usually called second sound) on the bending moment. We establish a general decay estimate for the solution energy. The exponential and polynomial decay results are only special cases of the present work. The obtained result shows that the viscoelastic damping on the shear force and the thermal damp- ing on the bending moment are strong enough to stabilize the system without any additional re-strictions like “the equal-wave of speed propagation” or “the stability number” conditions which are usually associated with similar problems.","PeriodicalId":179999,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125129192","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
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