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Optimal polynomial thermoelastic stability of a composite material 复合材料的最优多项式热弹性稳定性
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023046
Farhat Shel
{"title":"Optimal polynomial thermoelastic stability of a composite material","authors":"Farhat Shel","doi":"10.3934/eect.2023046","DOIUrl":"https://doi.org/10.3934/eect.2023046","url":null,"abstract":"","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83487465","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
Feedback control problems for a class of backward Riemann-Liouville fractional evolution hemivariational inequalities with dual operators 一类带对偶算子的后向Riemann-Liouville分数演化半变不等式的反馈控制问题
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023043
Jianguang Liu, F. Hu, Yi‐rong Jiang
{"title":"Feedback control problems for a class of backward Riemann-Liouville fractional evolution hemivariational inequalities with dual operators","authors":"Jianguang Liu, F. Hu, Yi‐rong Jiang","doi":"10.3934/eect.2023043","DOIUrl":"https://doi.org/10.3934/eect.2023043","url":null,"abstract":"","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82267518","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
Null Boundary Controllability for some Biological and Chemical Diffusion Problems 一些生物和化学扩散问题的零边界可控性
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023012
M. Ismailov, Isil Oner
{"title":"Null Boundary Controllability for some Biological and Chemical Diffusion Problems","authors":"M. Ismailov, Isil Oner","doi":"10.3934/eect.2023012","DOIUrl":"https://doi.org/10.3934/eect.2023012","url":null,"abstract":"","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87109423","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
Controllability results for second-order integro-differential equations with state-dependent delay 二阶状态相关时滞积分微分方程的可控性结果
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023026
A. Bensalem, Abdelkrim Salim, M. Benchohra, J. Nieto
{"title":"Controllability results for second-order integro-differential equations with state-dependent delay","authors":"A. Bensalem, Abdelkrim Salim, M. Benchohra, J. Nieto","doi":"10.3934/eect.2023026","DOIUrl":"https://doi.org/10.3934/eect.2023026","url":null,"abstract":"","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72434316","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
Existence and regularity of pullback attractors for a non-Newtonian fluid with delays in 2D unbounded domains 二维无界区域上具有时滞的非牛顿流体的拉回吸引子的存在性和规律性
4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023050
Guowei Liu, Hao Xu, Caidi Zhao
{"title":"Existence and regularity of pullback attractors for a non-Newtonian fluid with delays in 2D unbounded domains","authors":"Guowei Liu, Hao Xu, Caidi Zhao","doi":"10.3934/eect.2023050","DOIUrl":"https://doi.org/10.3934/eect.2023050","url":null,"abstract":"This paper studies a non-autonomous incompressible non-Newtonian fluid with delay in a 2D unbounded domain. The existence of pullback $ mathcal{D} $ attractor with $ mathbb{H}^2 $ regularity is obtained and its relationship with the pullback $ mathcal{D} $ attractor with $ mathbb{L}^2 $ regularity obtained in [25] is also shown. This fact exhibits the pullback smoothing effect of the fluid with delays.","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135555705","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
Blow-up for a pseudo-parabolic $ p $-Kirchhoff equation with logarithmic nonlinearity 具有对数非线性的伪抛物型$ p $-Kirchhoff方程的放大
4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023053
Hui Yang
{"title":"Blow-up for a pseudo-parabolic $ p $-Kirchhoff equation with logarithmic nonlinearity","authors":"Hui Yang","doi":"10.3934/eect.2023053","DOIUrl":"https://doi.org/10.3934/eect.2023053","url":null,"abstract":"In this paper, an initial boundary value problem for a pseudo-parabolic type $ p $-Kirchhoff equation with logarithmic nonlinearity is investigated. By proving the invariance of the unstable set under the semi-flow of this problem and adopting the Levine's concavity argument, a general finite time blow-up criterion for this problem is established, which in particular implies that for some initial data, the problem admits finite time blow-up solutions at arbitrarily high initial energy level. Moreover, the lifespan of the blow-up solutions is estimated from above.","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135319484","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
The necessary optimal condition of inverse heat source problem 反热源问题的必要最优条件
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023018
Nguyen Thi Ngoc Oanh, Le Thi Thu Giang
{"title":"The necessary optimal condition of inverse heat source problem","authors":"Nguyen Thi Ngoc Oanh, Le Thi Thu Giang","doi":"10.3934/eect.2023018","DOIUrl":"https://doi.org/10.3934/eect.2023018","url":null,"abstract":"","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77377084","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
Stability of a damped wave equation on an infinite star-shaped network 无限星形网络上阻尼波动方程的稳定性
4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2022024
Ahmed Bchatnia, Amina Boukhatem
{"title":"Stability of a damped wave equation on an infinite star-shaped network","authors":"Ahmed Bchatnia, Amina Boukhatem","doi":"10.3934/eect.2022024","DOIUrl":"https://doi.org/10.3934/eect.2022024","url":null,"abstract":"<p style='text-indent:20px;'>In this paper, we study the stability of an infinite star-shaped network of a linear viscous damped wave equation. We prove that, under some conditions, the whole system is asymptotically stable. Moreover we give a decay rate of the energy of the solution. Our technique is based on a frequency domain method.</p>","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135182954","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
Null controllability of $ psi$ - Hilfer implicit fractional integro-differential equations with $ psi $-Hilfer fractional nonlocal conditions 具有分数阶非局部条件的$ psi$ -Hilfer隐式分数阶积分微分方程的零可控性
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023021
Mourad Kerboua, Ichrak Bouacida, S. Segni
{"title":"Null controllability of $ psi$ - Hilfer implicit fractional integro-differential equations with $ psi $-Hilfer fractional nonlocal conditions","authors":"Mourad Kerboua, Ichrak Bouacida, S. Segni","doi":"10.3934/eect.2023021","DOIUrl":"https://doi.org/10.3934/eect.2023021","url":null,"abstract":"","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75135658","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
Controllability for the wave equation on graph with cycle and delta-prime vertex conditions 具有周期和素数顶点条件的图上波动方程的可控性
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023025
S. Avdonin, J. Edward, G. Leugering
{"title":"Controllability for the wave equation on graph with cycle and delta-prime vertex conditions","authors":"S. Avdonin, J. Edward, G. Leugering","doi":"10.3934/eect.2023025","DOIUrl":"https://doi.org/10.3934/eect.2023025","url":null,"abstract":"","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85877119","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
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