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Differential Equations & Applications最新文献

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Delta derivatives of the solution to a third-order parameter dependent boundary value problem on an arbitrary time scale 任意时间尺度上三阶参数相关边值问题解的导数
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-20
William M. Jensen, J. W. Lyons, Richard Robinson
{"title":"Delta derivatives of the solution to a third-order parameter dependent boundary value problem on an arbitrary time scale","authors":"William M. Jensen, J. W. Lyons, Richard Robinson","doi":"10.7153/dea-2022-14-20","DOIUrl":"https://doi.org/10.7153/dea-2022-14-20","url":null,"abstract":". We show that the solution of the third order parameter dependant dynamic boundary value problem y ΔΔΔ = f (cid:2) t , y , y Δ , y ΔΔ , λ (cid:3) , y ( t 1 ) = y 1 , y ( t 2 ) = y 2 , y ( t 3 ) = y 3 on a general time scale may be (delta) differentiated with respect to y 1 , y 2 , y 3 , t 1 , t 2 , t 3 , and λ . We show that the (delta) derivative of the solution solves the third order boundary value problem consisting of either the variational equation (in the dense case), the dynamic analogue (in the scattered case), or a modi fi ed variational equation in the parameter case with interesting boundary conditions in all cases.","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":"129084592","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
The e-positive mild solutions for impulsive evolution fractional differential equations with sectorial operator 带扇形算子的脉冲演化分数阶微分方程的e正温和解
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2023-15-06
J. F. Junior, José Vanterler da Costa Sousa, E. Capelas de Oliveira
{"title":"The e-positive mild solutions for impulsive evolution fractional differential equations with sectorial operator","authors":"J. F. Junior, José Vanterler da Costa Sousa, E. Capelas de Oliveira","doi":"10.7153/dea-2023-15-06","DOIUrl":"https://doi.org/10.7153/dea-2023-15-06","url":null,"abstract":". In this paper, we investigate the existence of global e -positive mild solutions to the initial value problem for a nonlinear impulsive fractional evolution differential equation involving the theory of sectorial operators. To obtain the result, we used Kuratowski’s non-compactness measure theory, the Cauchy criterion and the Gronwall inequality. Mathematics subject classi fi cation (2020): 26A33, 34A08, 34A12, 47H08","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":"121449530","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
Extremal solutions at infinity for symplectic systems on time scales I – Genera of conjoined bases 时间尺度上辛系统无穷远处的极值解-结合基的属
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-07
Iva Dřímalová
{"title":"Extremal solutions at infinity for symplectic systems on time scales I – Genera of conjoined bases","authors":"Iva Dřímalová","doi":"10.7153/dea-2022-14-07","DOIUrl":"https://doi.org/10.7153/dea-2022-14-07","url":null,"abstract":". In this paper we present a theory of genera of conjoined bases for symplectic dynamic systems on time scales and its connections with principal solutions at in fi nity and antiprincipal solutions at in fi nity for these systems. Among other properties we prove the existence of these extremal solutions in every genus. Our results generalize and complete the results by several authors on this subject, in particular by Do ˇ sl´y (2000), ˇ Sepitka and ˇ Simon Hilscher (2016), and the author and ˇ Simon Hilscher (2020). Some of our result are new even within the theory of genera of conjoined bases for linear Hamiltonian differential systems and symplectic difference systems, or they complete the arguments presented therein. Throughout the paper we do not assume any normality (controllability) condition on the system. This approach requires using the Moore– Penrose pseudoinverse matrices in the situations, where the inverse matrices occurred in the traditional literature. In this context we also prove a new explicit formula for the delta derivative of the Moore–Penrose pseudoinverse. This paper is a fi rst part of the results connected with the theory of genera. The second part would naturally continue by providing a characterization of all principal solutions of ( ?? ) at in fi nity in the given genus in terms of the initial conditions and a fi xed principal solution at in fi nity from this genus and focusing on limit properties of above mentioned special solutions and by establishing their limit comparison at in fi nity.","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":"126613111","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
Nontrivial solutions for a nonlinear νth order Atıcı-Eloe fractional difference equation satisfying Dirichlet boundary conditions 满足Dirichlet边界条件的非线性ν阶Atıcı-Eloe分数阶差分方程的非平凡解
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-08
J. Henderson
{"title":"Nontrivial solutions for a nonlinear νth order Atıcı-Eloe fractional difference equation satisfying Dirichlet boundary conditions","authors":"J. Henderson","doi":"10.7153/dea-2022-14-08","DOIUrl":"https://doi.org/10.7153/dea-2022-14-08","url":null,"abstract":". For 1 < ν (cid:2) 2 a real number and T (cid:3) 2 a natural number, by an application of a Krasnosel’skii-Zabreiko fi xed point theorem, nontrivial solutions are established for a nonlinear ν th order At ı c ı -Eloe fractional difference equation, Δ ν u ( t )+ f ( u ( t + ν − 1 )) = 0, t ∈ { 1 , 2 ,..., T + 1 } , satisfying the Dirichlet boundary conditions u ( ν − 2 ) = u ( ν + T + 1 ) = 0 ,","PeriodicalId":179999,"journal":{"name":"Differential Equations &amp; 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":"132663577","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
Existence and uniqueness of mild solutions to neutral impulsive fractional stochastic delay differential equations driven by both Brownian motion and fractional Brownian motion 布朗运动和分数阶布朗运动驱动中立型脉冲分数阶随机时滞微分方程温和解的存在唯一性
Differential Equations &amp; Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-30
A. Ahmed
{"title":"Existence and uniqueness of mild solutions to neutral impulsive fractional stochastic delay differential equations driven by both Brownian motion and fractional Brownian motion","authors":"A. Ahmed","doi":"10.7153/dea-2022-14-30","DOIUrl":"https://doi.org/10.7153/dea-2022-14-30","url":null,"abstract":"","PeriodicalId":179999,"journal":{"name":"Differential Equations &amp; 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":"117045429","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
A fourth-order iterative boundary value problem with Lidstone boundary conditions 一类具有Lidstone边界条件的四阶迭代边值问题
Differential Equations &amp; Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-21
E. Kaufmann
{"title":"A fourth-order iterative boundary value problem with Lidstone boundary conditions","authors":"E. Kaufmann","doi":"10.7153/dea-2022-14-21","DOIUrl":"https://doi.org/10.7153/dea-2022-14-21","url":null,"abstract":". Let m (cid:2) 2 and a > 0. We consider the existence and uniqueness of solutions to the fourth-order iterative boundary value problem solutions satisfying Lidstone Here the iterative functions are de fi ned by x [ 2 ] ( t ) = x ( x ( t )) and for j = 3 ,... m , x [ j ( t ) = x ( x [ j − 1 ] ( t )) . The main tool employed to establish our results is the Schauder fi xed point theorem.","PeriodicalId":179999,"journal":{"name":"Differential Equations &amp; 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":"116176152","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 weak solutions for a degenerate nonlocal singular sub-linear problem 一类退化非局部奇异次线性问题的三个弱解
Differential Equations &amp; Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-04
S. Heidarkhani, K. Kou, Amjad Salari
{"title":"Three weak solutions for a degenerate nonlocal singular sub-linear problem","authors":"S. Heidarkhani, K. Kou, Amjad Salari","doi":"10.7153/dea-2022-14-04","DOIUrl":"https://doi.org/10.7153/dea-2022-14-04","url":null,"abstract":". Based on one recent abstract critical point result for differentiable and parametric func- tionals which was recently proved by Ricceri, we establish the existence of three weak solutions for a class of degenerate nonlocal singular sub-linear problems when the nonlinear term admits some hypotheses on the behavior at in fi nitely or perturbation property.","PeriodicalId":179999,"journal":{"name":"Differential Equations &amp; 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":"124942217","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 multiple solutions to a P-Kirchhoff problem P-Kirchhoff问题多解的存在性
Differential Equations &amp; Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-15
J. Graef, S. Heidarkhani, L. Kong, Ahmad Ghobadi
{"title":"Existence of multiple solutions to a P-Kirchhoff problem","authors":"J. Graef, S. Heidarkhani, L. Kong, Ahmad Ghobadi","doi":"10.7153/dea-2022-14-15","DOIUrl":"https://doi.org/10.7153/dea-2022-14-15","url":null,"abstract":"","PeriodicalId":179999,"journal":{"name":"Differential Equations &amp; 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":"128801305","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 nonexistence of solutions of thin-film equations with variable exponent spaces 变指数空间薄膜方程解的存在性与不存在性
Differential Equations &amp; Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-38
N. Lakshmipriya, S. Gnanavel, L. Shangerganesh, N. Nyamoradi
{"title":"Existence and nonexistence of solutions of thin-film equations with variable exponent spaces","authors":"N. Lakshmipriya, S. Gnanavel, L. Shangerganesh, N. Nyamoradi","doi":"10.7153/dea-2022-14-38","DOIUrl":"https://doi.org/10.7153/dea-2022-14-38","url":null,"abstract":"","PeriodicalId":179999,"journal":{"name":"Differential Equations &amp; 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":"120993160","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
Iterative schemes for solving general variational inequalities 求解一般变分不等式的迭代格式
Differential Equations &amp; Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2023-15-07
M. Noor, K. Noor
{"title":"Iterative schemes for solving general variational inequalities","authors":"M. Noor, K. Noor","doi":"10.7153/dea-2023-15-07","DOIUrl":"https://doi.org/10.7153/dea-2023-15-07","url":null,"abstract":"","PeriodicalId":179999,"journal":{"name":"Differential Equations &amp; 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":"131609964","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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