发布求助
文献互助 智能选刊 最新文献

Electronic Journal of Qualitative Theory of Differential Equations最新文献

筛选
英文 中文
Nonconstant positive steady states and pattern formation of a diffusive epidemic model 扩散流行病模型的非常正稳态和模式形成
IF 1.1 4区 数学
Electronic Journal of Qualitative Theory of Differential Equations Pub Date : 2022-01-01 DOI: 10.14232/ejqtde.2022.1.20
Xiaoyan Gao
{"title":"Nonconstant positive steady states and pattern formation of a diffusive epidemic model","authors":"Xiaoyan Gao","doi":"10.14232/ejqtde.2022.1.20","DOIUrl":"https://doi.org/10.14232/ejqtde.2022.1.20","url":null,"abstract":"It is our purpose in this paper to make a detailed description for the structure of the set of the nonconstant steady states for the two-dimensional epidemic S-I model with diffusion incorporating demographic and epidemiological processes with zero-flux boundary conditions. We first study the conditions of diffusion-driven instability occurrence, which induces spatial inhomogeneous patterns. The results will extend to the derivative of prey's functional response with prey is positive. Moreover, we establish the local and global structure of nonconstant positive steady state solutions. A priori estimates for steady state solutions will play a key role in the proof. Our results indicate that the diffusion has a great influence on the spread of the epidemic and extend well the finding of spatiotemporal dynamics in the epidemic model.","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66584412","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On a solvable class of nonlinear difference equations of fourth order 一类可解的四阶非线性差分方程
IF 1.1 4区 数学
Electronic Journal of Qualitative Theory of Differential Equations Pub Date : 2022-01-01 DOI: 10.14232/ejqtde.2022.1.37
S. Stević, B. Iricanin, W. Kosmala, Z. Šmarda
{"title":"On a solvable class of nonlinear difference equations of fourth order","authors":"S. Stević, B. Iricanin, W. Kosmala, Z. Šmarda","doi":"10.14232/ejqtde.2022.1.37","DOIUrl":"https://doi.org/10.14232/ejqtde.2022.1.37","url":null,"abstract":"We consider a class of nonlinear difference equations of the fourth order, which extends some equations in the literature. It is shown that the class of equations is solvable in closed form explaining theoretically, among other things, solvability of some previously considered very special cases. We also present some applications of the main theorem through two examples, which show that some results in the literature are not correct.","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66585364","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Isolated periodic wave trains in a generalized Burgers–Huxley equation 广义Burgers-Huxley方程中的孤立周期波列
IF 1.1 4区 数学
Electronic Journal of Qualitative Theory of Differential Equations Pub Date : 2022-01-01 DOI: 10.14232/ejqtde.2022.1.4
Qinlong Wang, Yu'e Xiong, Wentao Huang, V. Romanovski
{"title":"Isolated periodic wave trains in a generalized Burgers–Huxley equation","authors":"Qinlong Wang, Yu'e Xiong, Wentao Huang, V. Romanovski","doi":"10.14232/ejqtde.2022.1.4","DOIUrl":"https://doi.org/10.14232/ejqtde.2022.1.4","url":null,"abstract":"We study the isolated periodic wave trains in a class of modified generalized Burgers–Huxley equation. The planar systems with a degenerate equilibrium arising after the traveling transformation are investigated. By finding certain positive definite Lyapunov functions in the neighborhood of the degenerate singular points and the Hopf bifurcation points, the number of possible limit cycles in the corresponding planar systems is determined. The existence of isolated periodic wave trains in the equation is established, which is universal for any positive integer n in this model. Within the process, one interesting example is obtained, namely a series of limit cycles bifurcating from a semi-hyperbolic singular point with one zero eigenvalue and one non-zero eigenvalue for its Jacobi matrix.","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66585515","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Weak center for a class of Λ– 弱中心的一个类Λ - <mml;
IF 1.1 4区 数学
Electronic Journal of Qualitative Theory of Differential Equations Pub Date : 2022-01-01 DOI: 10.14232/ejqtde.2022.1.22
Zhengxin Zhou
{"title":"Weak center for a class of Λ– ","authors":"Zhengxin Zhou","doi":"10.14232/ejqtde.2022.1.22","DOIUrl":"https://doi.org/10.14232/ejqtde.2022.1.22","url":null,"abstract":"In this paper, we give the necessary and sufficient conditions for a class of higher degree polynomial systems to have a weak center. As corollaries, we prove the correctness of the two conjectures about the weak center problem for the Λ – Ω differential systems.","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66584084","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Dirichlet Problems with Unbalanced Growth and Convection 非平衡增长和对流的Dirichlet问题
IF 1.1 4区 数学
Electronic Journal of Qualitative Theory of Differential Equations Pub Date : 2022-01-01 DOI: 10.14232/ejqtde.2022.1.41
Zhenhai Liu, N. Papageorgiou
{"title":"Dirichlet Problems with Unbalanced Growth and Convection","authors":"Zhenhai Liu, N. Papageorgiou","doi":"10.14232/ejqtde.2022.1.41","DOIUrl":"https://doi.org/10.14232/ejqtde.2022.1.41","url":null,"abstract":"We consider a double phase Dirichlet problem with a gradient dependent reaction term (convection). Using the theory of nonlinear operators of monotone type, we show the existence of a bounded strictly positive solution. Moreover, we show that the set of these solutions is compact in the corresponding generalized Sobolev–Orlicz space.","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66585080","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Neumann problems of superlinear elliptic systems at resonance 共振超线性椭圆系统的Neumann问题
IF 1.1 4区 数学
Electronic Journal of Qualitative Theory of Differential Equations Pub Date : 2022-01-01 DOI: 10.14232/ejqtde.2022.1.8
R. Ma, Zhongzi Zhao, Mantang Ma
{"title":"Neumann problems of superlinear elliptic systems at resonance","authors":"R. Ma, Zhongzi Zhao, Mantang Ma","doi":"10.14232/ejqtde.2022.1.8","DOIUrl":"https://doi.org/10.14232/ejqtde.2022.1.8","url":null,"abstract":"We prove existence of weak solutions of Neumann problem of nonhomogeneous elliptic system with asymmetric nonlinearities that may resonant at − ∞ and superlinear at + ∞ . The proof is based on Mawhin's coincidence theory and the product formula of Brouwer degree.","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66585435","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A nontrivial solution for a nonautonomous Choquard equation with general nonlinearity 一类具有一般非线性的非自治Choquard方程的非平凡解
IF 1.1 4区 数学
Electronic Journal of Qualitative Theory of Differential Equations Pub Date : 2022-01-01 DOI: 10.14232/ejqtde.2022.1.66
Equations L. Ding, Jiu Liu, Yan-Xiang Yuan
{"title":"A nontrivial solution for a nonautonomous Choquard equation with\u0000 general nonlinearity","authors":"\t\tEquations\t\t\tL. Ding, Jiu Liu, Yan-Xiang Yuan","doi":"10.14232/ejqtde.2022.1.66","DOIUrl":"https://doi.org/10.14232/ejqtde.2022.1.66","url":null,"abstract":"With the help of the monotonicity trick, a nonautonomous Choquard equations with general nonlinearity is studied and a nontrivial solution is obtained.","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75481165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Global asymptotic stability of a scalar delay Nicholson's blowflies equation in periodic environment 周期环境下标量时滞Nicholson方程的全局渐近稳定性
IF 1.1 4区 数学
Electronic Journal of Qualitative Theory of Differential Equations Pub Date : 2022-01-01 DOI: 10.14232/ejqtde.2022.1.14
Xiucai Ding
{"title":"Global asymptotic stability of a scalar delay Nicholson's blowflies equation in periodic environment","authors":"Xiucai Ding","doi":"10.14232/ejqtde.2022.1.14","DOIUrl":"https://doi.org/10.14232/ejqtde.2022.1.14","url":null,"abstract":"This paper is considered with a scalar delay Nicholson's blowflies equation in periodic environments. By taking advantage of some novel differential inequality techniques and the fluctuation lemma, we set up the sharp condition to characterize the global asymptotic stability of positive periodic solutions on the addressed equation. The obtained results improve and supplement some existing ones in recent literature, and then give a more perfect answer to an open problem proposed by Berezansky et al. in [Appl. Math. Model. 34(2010) 1405–1417]. In particular, two numerical examples are provided to verify the reliability and feasibility of the theoretical findings.","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66583887","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Stabilization via delay feedback for highly nonlinear stochastic time-varying delay systems with Markovian switching and Poisson jump 具有马尔可夫切换和泊松跳变的高度非线性随机时变时滞系统的时滞反馈镇定
IF 1.1 4区 数学
Electronic Journal of Qualitative Theory of Differential Equations Pub Date : 2022-01-01 DOI: 10.14232/ejqtde.2022.1.49
Equations Guangjie Li, Zhipei Hu, F. Deng, Huiyan Zhang
{"title":"Stabilization via delay feedback for highly nonlinear stochastic\u0000 time-varying delay systems with Markovian switching and Poisson jump","authors":"\t\tEquations\t\t\tGuangjie Li, Zhipei Hu, F. Deng, Huiyan Zhang","doi":"10.14232/ejqtde.2022.1.49","DOIUrl":"https://doi.org/10.14232/ejqtde.2022.1.49","url":null,"abstract":"Little work seems to be known about stabilization results of highly nonlinear stochastic time-varying delay systems (STVDSs) with Markovian switching and Poisson jump. This paper is concerned with the stabilization problem for a class of STVDSs with Markovian switching and Poisson jump. The coefficients of such systems do not satisfy the conventional linear growth conditions, but are subject to high nonlinearity. The aim of this paper is to design a delay feedback controller to make an unstable highly nonlinear STVDSs with Markovian switching and Poisson jump H ∞ -stable and asymptotically stable. Besides, an illustrative example is provided to support the theoretical results.","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83183998","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Optimal version of the Picard-Lindel"of theorem 皮卡德-林德尔定理的最优版本
IF 1.1 4区 数学
Electronic Journal of Qualitative Theory of Differential Equations Pub Date : 2021-10-03 DOI: 10.14232/ejqtde.2021.1.3
J. Schlage-Puchta
{"title":"Optimal version of the Picard-Lindel\"of theorem","authors":"J. Schlage-Puchta","doi":"10.14232/ejqtde.2021.1.3","DOIUrl":"https://doi.org/10.14232/ejqtde.2021.1.3","url":null,"abstract":"Consider the differential equation y = F (x, y). We determine the weakest possible upper bound on |F (x, y)−F (x, z)| which guarantees that this equation has for all initial values a unique solution, which exists globally. Let F : R → R be a continuous function. The well known global Picard-Lindelöf theorem states that if F is Lipschitz continuous with respect to the second variable, then for every real number y0, the initial value problem y ′ = F (x, y), y(0) = y0 has a unique solution, which exists globally. On the other hand the initial value problem y′ = 2 √ |y|, y(0) = 0 has infinitely many solutions, which can be parametrized by real numbers −∞ ≤ a ≤ b ≤ ∞ as","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66581403","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信