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Multiple solutions for nonlocal fractional Kirchhoff type problems 非局部分数阶Kirchhoff型问题的多重解
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-39
Ahmad Ghobadi, S. Heidarkhani
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引用次数: 1
Homogenization of a non-periodic oscillating boundary via periodic unfolding 通过周期展开非周期振荡边界的均匀化
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-03
S. Aiyappan, K. Pettersson, A. Sufian
{"title":"Homogenization of a non-periodic oscillating boundary via periodic unfolding","authors":"S. Aiyappan, K. Pettersson, A. Sufian","doi":"10.7153/dea-2022-14-03","DOIUrl":"https://doi.org/10.7153/dea-2022-14-03","url":null,"abstract":". This paper deals with the homogenization of an elliptic model problem in a two- dimensional domain with non-periodic oscillating boundary by the method of periodic unfolding. For the non-periodic oscillations, a modulated unfolding is used. The L 2 convergence of the solutions and their fl uxes are shown, under natural hypotheses on the domain.","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":"128712434","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
Exponential stability for a flexible structure with Fourier's type heat conduction and distributed delay 具有傅里叶型热传导和分布延迟的柔性结构的指数稳定性
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2023-15-04
M. Douib, S. Zitouni, A. Djebabla
{"title":"Exponential stability for a flexible structure with Fourier's type heat conduction and distributed delay","authors":"M. Douib, S. Zitouni, A. Djebabla","doi":"10.7153/dea-2023-15-04","DOIUrl":"https://doi.org/10.7153/dea-2023-15-04","url":null,"abstract":". In this paper, we study the well-posedness and asymptotic behaviour of solutions to a fl exible structure with Fourier’s type heat conduction and distributed delay. We prove the well-posedness by using the semigroup theory. Also we establish a decay result by introducing a suitable Lyaponov functional.","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":"121034168","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
Spectral characterization of the constant sign Green's functions for periodic and Neumann boundary value problems of even order 偶阶周期和Neumann边值问题常符号Green函数的谱表征
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-24
A. Cabada, Lucía López-Somoza
{"title":"Spectral characterization of the constant sign Green's functions for periodic and Neumann boundary value problems of even order","authors":"A. Cabada, Lucía López-Somoza","doi":"10.7153/dea-2022-14-24","DOIUrl":"https://doi.org/10.7153/dea-2022-14-24","url":null,"abstract":". In this paper we will characterize the interval of real parameters M in which the Green’s function G M , related to the operator T 2 n [ M ] u ( t ) : = u ( 2 n ) ( t )+ Mu ( t ) coupled to periodic, u ( i ) ( 0 ) = u ( i ) ( T ) , i = 0 ,..., 2 n − 1, or Neumann, u ( 2 i + 1 ) ( 0 ) = u ( 2 i + 1 ) ( T ) = 0, i = 0 ,..., n − 1, boundary conditions, has constant sign on its square of de fi nition. More concisely, we will prove that the optimal values are given as the fi rst zeros of G M ( 0 , 0 ) or G M ( T / 2 , 0 ) , depending both on the sign of G M and on the fact whether 2 n is, or is not, a multiple of 4. Such values will be characterized as the eigenvalues of the operator u ( 2 n ) related to suitable boundary conditions. This characterization allows us to obtain such values without calculating the exact expression of the Green’s function.","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":"121968487","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 the periodic solutions for nonlinear Volterra-Fredholm integro-differential equations with ψ-Hilfer fractional derivative 具有ψ-Hilfer分数阶导数的非线性Volterra-Fredholm积分微分方程的周期解
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-31
S. Bouriah, D. Foukrach, M. Benchohra, Yong Zhou
{"title":"On the periodic solutions for nonlinear Volterra-Fredholm integro-differential equations with ψ-Hilfer fractional derivative","authors":"S. Bouriah, D. Foukrach, M. Benchohra, Yong Zhou","doi":"10.7153/dea-2022-14-31","DOIUrl":"https://doi.org/10.7153/dea-2022-14-31","url":null,"abstract":". In this research paper, we present some results about the existence and uniqueness of periodic solutions for a great nonlinear class of Volterra-Fredholm integro-differential equations equipped with fractional integral conditions, involving ψ -Hilfer fractional operator. This inves- tigation is carried out by means of the coincidence degree theory of Mawhin. A typical example is also presented.","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":"125729765","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
Existence of solutions for nonlocal elliptic systems with exponential nonlinearity 具有指数非线性的非局部椭圆系统解的存在性
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-29
Brahim Khaldi
{"title":"Existence of solutions for nonlocal elliptic systems with exponential nonlinearity","authors":"Brahim Khaldi","doi":"10.7153/dea-2022-14-29","DOIUrl":"https://doi.org/10.7153/dea-2022-14-29","url":null,"abstract":". In this paper, we establish the existence of solutions for a Kirchhoff-type system with Dirichlet boundary condition and nonlinearities having exponential critical growth. Our ap-proach is based on the Trudinger-Moser inequality and on a minimax theorem.","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":"125818314","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
An operator splitting approach for two-dimensional Kawarada problems 二维Kawarada问题的算子分裂方法
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-17
Q. Sheng, Nina Garcia-Montoya
{"title":"An operator splitting approach for two-dimensional Kawarada problems","authors":"Q. Sheng, Nina Garcia-Montoya","doi":"10.7153/dea-2022-14-17","DOIUrl":"https://doi.org/10.7153/dea-2022-14-17","url":null,"abstract":". The authors study a second order operator splitting formula for computing numerical solutions of singular and nonlinear Kawarada partial differential equation initial-boundary value problems. Their investigations particularly focus at the global numerical error, algorithmic real- ization, and stability of the decomposed schemes. Computational experiments are presented to validate and illustrate their results. The simulation demonstrates the viability and capability of the new splitting methods for solving nonlinear and singular problems with potential industrial applications.","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":"121847740","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
Time-varying coefficients neutral differential equations: on asymptotic properties 时变系数中立型微分方程:关于渐近性质
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-35
Anes Moulai-Khatir
{"title":"Time-varying coefficients neutral differential equations: on asymptotic properties","authors":"Anes Moulai-Khatir","doi":"10.7153/dea-2022-14-35","DOIUrl":"https://doi.org/10.7153/dea-2022-14-35","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":"116940400","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
Existence results for Caputo fractional boundary value problems with unrestricted growth conditions 具有无限制生长条件的Caputo分数边值问题的存在性结果
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2023-15-08
Nicholas Fewster-Young
{"title":"Existence results for Caputo fractional boundary value problems with unrestricted growth conditions","authors":"Nicholas Fewster-Young","doi":"10.7153/dea-2023-15-08","DOIUrl":"https://doi.org/10.7153/dea-2023-15-08","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":"116953321","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
Multiple positive solutions of Kirchhoff-type equations with concave terms 凹项kirchhoff型方程的多个正解
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-40
A. E. Hamidi, Chakib Chahbi
{"title":"Multiple positive solutions of Kirchhoff-type equations with concave terms","authors":"A. E. Hamidi, Chakib Chahbi","doi":"10.7153/dea-2022-14-40","DOIUrl":"https://doi.org/10.7153/dea-2022-14-40","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":"128179852","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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