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Differential Equations & Applications最新文献

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Oscillatory behavior of second order nonlinear delay differential equations with positive and negative neutral terms 具有正中性项和负中性项的二阶非线性时滞微分方程的振荡行为
IF 0.3
Differential Equations & Applications Pub Date : 2020-01-01 DOI: 10.7153/dea-2020-12-13
S. Grace, J. Graef, I. Jadlovská
{"title":"Oscillatory behavior of second order nonlinear delay differential equations with positive and negative neutral terms","authors":"S. Grace, J. Graef, I. Jadlovská","doi":"10.7153/dea-2020-12-13","DOIUrl":"https://doi.org/10.7153/dea-2020-12-13","url":null,"abstract":". The aim of the paper is to initiate a study of the oscillation of solutions of second order nonlinear differential equations with positive and negative nonlinear neutral terms. The results are illustrated by some examples.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71130200","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
Coupled Hilfer and Hadamard random fractional differential systems with finite delay in generalized Banach spaces 广义Banach空间中有限时滞的耦合Hilfer和Hadamard随机分数阶微分系统
IF 0.3
Differential Equations & Applications Pub Date : 2020-01-01 DOI: 10.7153/dea-2020-12-22
S. Abbas, N. Al Arifi, M. Benchohra, J. Henderson
{"title":"Coupled Hilfer and Hadamard random fractional differential systems with finite delay in generalized Banach spaces","authors":"S. Abbas, N. Al Arifi, M. Benchohra, J. Henderson","doi":"10.7153/dea-2020-12-22","DOIUrl":"https://doi.org/10.7153/dea-2020-12-22","url":null,"abstract":"This article deals with some questions of existence and uniqueness of random solutions for some coupled systems of random Hilfer and Hilfer–Hadamard fractional differential equations with finite delay. We use some generalizations of classical random fixed point theorems on generalized Banach spaces.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71130982","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
Almost periodic homogenization of the Klein-Gordon type equation Klein-Gordon型方程的概周期均匀化
IF 0.3
Differential Equations & Applications Pub Date : 2020-01-01 DOI: 10.7153/dea-2020-12-10
Lazarus Signing
{"title":"Almost periodic homogenization of the Klein-Gordon type equation","authors":"Lazarus Signing","doi":"10.7153/dea-2020-12-10","DOIUrl":"https://doi.org/10.7153/dea-2020-12-10","url":null,"abstract":". In this paper, the homogenization problem for the Klein-Gordon type equation is stud- ied in the almost periodic setting. The propagation speed and the potential are spatial and time dependent almost periodically varying functions. One convergence theorem is proved and we derive the macroscopic homogenized model veri fi ed by the mean wave function.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":"37 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71130145","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 theory and stability results for ψ-type complex-order implicit differential equations 一类复阶隐式微分方程的存在性理论及稳定性结果
IF 0.3
Differential Equations & Applications Pub Date : 2020-01-01 DOI: 10.7153/dea-2020-12-14
D. Vivek, S. Ntouyas, K. Kanagarajan, J. Prasanth
{"title":"Existence theory and stability results for ψ-type complex-order implicit differential equations","authors":"D. Vivek, S. Ntouyas, K. Kanagarajan, J. Prasanth","doi":"10.7153/dea-2020-12-14","DOIUrl":"https://doi.org/10.7153/dea-2020-12-14","url":null,"abstract":". This paper concerns the existence and stability results for ψ -type complex-order im- plicit differential equations with boundary conditions. The results are based on the Banach contraction mapping principle. An example is presented to illustrate the main results.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71130280","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
Corrigendum to: Positive solutions for a fourth order differential inclusion with boundary values, published in Differential Equations and Applications Vol. 8 No. 1 (2016), 21-31, by John S. Spraker 带边值的四阶微分包含的正解的勘误表，发表于微分方程与应用Vol. 8 No. 1(2016)， 21-31，作者:John S. Spraker
IF 0.3
Differential Equations & Applications Pub Date : 2020-01-01 DOI: 10.7153/dea-2020-12-07
John S. Spraker
{"title":"Corrigendum to: Positive solutions for a fourth order differential inclusion with boundary values, published in Differential Equations and Applications Vol. 8 No. 1 (2016), 21-31, by John S. Spraker","authors":"John S. Spraker","doi":"10.7153/dea-2020-12-07","DOIUrl":"https://doi.org/10.7153/dea-2020-12-07","url":null,"abstract":"In Theorem 3 of [2] I included an extension to the Ascoli theorem. While the statement of the theorem and its later use were correct, the proof has a slight error which I noticed while in the process of writing a sequel. Also a few comments about the complete continuity of an operator are provided as well as well as an additional reference. Mathematics subject classification (2010): 34B18, 34A34, 34A36, 34A60, 34B15, 47H10.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71130098","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 solutions of systems involving fractional Kirchhoff-type equations with critical growth 具有临界增长的分数阶kirchhoff型方程系统的多重解
IF 0.3
Differential Equations & Applications Pub Date : 2020-01-01 DOI: 10.7153/dea-2020-12-11
A. Costa, B. Maia
{"title":"Multiple solutions of systems involving fractional Kirchhoff-type equations with critical growth","authors":"A. Costa, B. Maia","doi":"10.7153/dea-2020-12-11","DOIUrl":"https://doi.org/10.7153/dea-2020-12-11","url":null,"abstract":". In this paper we are going to study existence and multiplicity of solutions of a system involving fractional Kirchhoff-type and critical growth of form where s ∈ ( 0 , 1 ) , n > 2 s , Ω ⊂ R n is a bounded and open set, 2 ∗ s = 2 n / ( n − 2 s ) denotes the fractional critical Sobolev exponent, the functions M 1 , M 2 , f and g are continuous functions, ( − Δ ) s is the fractional laplacian operator, || . || X is a norm in the fractional Hilbert Sobolev space X ( Ω ) , F ( x , v ( x )) = v x , G x , ( x )) g ( τ ) d τ , r 1 and r 2 are positive constants, λ and γ are real parameters. For this problem we prove the existence of in fi nitely many solutions, via a suitable truncation argument and exploring the genus theory introduced by Krasnoselskii. Also we show that these solutions are suf fi ciently regular and solve the problem pointwise.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71130187","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
A variational method for solving quasilinear elliptic systems involving symmetric multi-polar potentials 一种求解包含对称多极势的拟线性椭圆系统的变分方法
IF 0.3
Differential Equations & Applications Pub Date : 2020-01-01 DOI: 10.7153/dea-2020-12-23
A. Rashidi, M. Shekarbaigi
{"title":"A variational method for solving quasilinear elliptic systems involving symmetric multi-polar potentials","authors":"A. Rashidi, M. Shekarbaigi","doi":"10.7153/dea-2020-12-23","DOIUrl":"https://doi.org/10.7153/dea-2020-12-23","url":null,"abstract":". In this paper, a system of quasilinear elliptic equations is investigated, which involves multiple critical Hardy-Sobolev exponents and symmetric multi-polar potentials. By employing the variational methods and analytic techniques, the relevant best constants are studied and the existence of ( Z k × SO ( N − 2 )) 2 -invariant solutions to the system is established.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":"52 Suppl 1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71130560","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
A remark on the local well-posedness for a coupled system of mKdV type equations in H^s × H^k H^s × H^k中mKdV型方程耦合系统的局部适定性
IF 0.3
Differential Equations & Applications Pub Date : 2020-01-01 DOI: 10.7153/dea-2020-12-27
X. Carvajal
{"title":"A remark on the local well-posedness for a coupled system of mKdV type equations in H^s × H^k","authors":"X. Carvajal","doi":"10.7153/dea-2020-12-27","DOIUrl":"https://doi.org/10.7153/dea-2020-12-27","url":null,"abstract":". We consider the initial value problem associated to a system consisting modi fi ed Korteweg-de Vries type equations and using only bilinear estimates of the type (cid:2) J γ F 1 b 1 J F 2 b 2 (cid:2) L 2 x L 2 t , where J is the Bessel potential and F jb j , j = 1 , 2 are multiplication operators, we prove the local well-posedness results for given data in low regularity Sobolev spaces H s ( R ) × H k ( R ) for α (cid:3) = 0 , 1. In this work we improve the previous result in [6], extending the LWP region from | s − k | < 1 / 2 to | s − k | < 1. This result is sharp in the region of the LWP with s (cid:2) 0 and k (cid:2) 0, in the sense of the trilinear estimates fails to hold.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71130622","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 and uniqueness for fractional order functional differential equations with Hilfer derivative 具有Hilfer导数的分数阶泛函微分方程的存在唯一性
IF 0.3
Differential Equations & Applications Pub Date : 2020-01-01 DOI: 10.7153/dea-2020-12-21
F. Karakoç
{"title":"Existence and uniqueness for fractional order functional differential equations with Hilfer derivative","authors":"F. Karakoç","doi":"10.7153/dea-2020-12-21","DOIUrl":"https://doi.org/10.7153/dea-2020-12-21","url":null,"abstract":". We investigate fractional order delay and neutral differential equations. By using Ba- nach fi xed point theorem we establish existence and uniqueness of the solutions for fractional order functional differential equations involving Hilfer fractional derivative in the weighted spaces.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71130965","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: 5
Dynamics of thermoelastic plate system with terms concentrated in the boundary 边界集中项的热弹性板系统动力学
IF 0.3
Differential Equations & Applications Pub Date : 2019-12-11 DOI: 10.7153/DEA-2019-11-18
Gleiciane S. Aragão, F. Bezerra, C. O. P. D. Silva
{"title":"Dynamics of thermoelastic plate system with terms concentrated in the boundary","authors":"Gleiciane S. Aragão, F. Bezerra, C. O. P. D. Silva","doi":"10.7153/DEA-2019-11-18","DOIUrl":"https://doi.org/10.7153/DEA-2019-11-18","url":null,"abstract":"In this paper we show the lower semicontinuity of the global attractors of autonomous thermoelastic plate systems with Neumann boundary conditions when some reaction terms are concentrated in a neighborhood of the boundary and this neighborhood shrinks to boundary as a parameter $varepsilon$ goes to zero.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43521483","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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