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Boundary Value Problems最新文献

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On steady state of viscous compressible heat conducting full magnetohydrodynamic equations 论粘性可压缩热传导全磁流体力学方程的稳态
IF 1.7 4区 数学
Boundary Value Problems Pub Date : 2024-06-05 DOI: 10.1186/s13661-024-01869-9
Mohamed Azouz, R. Benabidallah, F. Ebobisse
{"title":"On steady state of viscous compressible heat conducting full magnetohydrodynamic equations","authors":"Mohamed Azouz, R. Benabidallah, F. Ebobisse","doi":"10.1186/s13661-024-01869-9","DOIUrl":"https://doi.org/10.1186/s13661-024-01869-9","url":null,"abstract":"","PeriodicalId":49228,"journal":{"name":"Boundary Value Problems","volume":"11 8","pages":"1-28"},"PeriodicalIF":1.7,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141265572","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
Riemann problem for multiply connected domain in Besov spaces 贝索夫空间多连通域的黎曼问题
IF 1.7 4区 数学
Boundary Value Problems Pub Date : 2024-06-05 DOI: 10.1186/s13661-024-01883-x
Nazarbay Bliev, Nurlan Yerkinbayev
{"title":"Riemann problem for multiply connected domain in Besov spaces","authors":"Nazarbay Bliev, Nurlan Yerkinbayev","doi":"10.1186/s13661-024-01883-x","DOIUrl":"https://doi.org/10.1186/s13661-024-01883-x","url":null,"abstract":"In this paper, we obtain conditions of the solvability of the Riemann boundary value problem for sectionally analytic functions in multiply connected domains in Besov spaces embedded into the class of continuous functions. We indicate a new class of Cauchy-type integrals, which are continuous on a closed domain with continuous (not Hölder) density in terms of Besov spaces, and for which the Sokhotski–Plemelj formulas are valid.","PeriodicalId":49228,"journal":{"name":"Boundary Value Problems","volume":"36 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141257002","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
Exploring solutions to specific class of fractional differential equations of order (3 探索阶（3<hat{u}leq 4）分式微分方程特定类别的解决方案
IF 1.7 4区 数学
Boundary Value Problems Pub Date : 2024-06-05 DOI: 10.1186/s13661-024-01878-8
Saleh Fahad Aljurbua
{"title":"Exploring solutions to specific class of fractional differential equations of order (3<hat{u}leq 4)","authors":"Saleh Fahad Aljurbua","doi":"10.1186/s13661-024-01878-8","DOIUrl":"https://doi.org/10.1186/s13661-024-01878-8","url":null,"abstract":"This paper focuses on exploring the existence of solutions for a specific class of FDEs by leveraging fixed point theorem. The equation in question features the Caputo fractional derivative of order $3<hat{u} leq 4$ and includes a term $Theta (beta,mathscr{Z}(beta ))$ alongside boundary conditions. Through the application of a fixed point theorem in appropriate function spaces, we consider nonlocal conditions along with necessary assumptions under which solutions to the given FDE exist. Furthermore, we offer an example to illustrate the results.","PeriodicalId":49228,"journal":{"name":"Boundary Value Problems","volume":"26 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141256801","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
Sign-changing solutions for coupled Schrödinger system 耦合薛定谔系统的符号变化解法
IF 1.7 4区 数学
Boundary Value Problems Pub Date : 2024-05-31 DOI: 10.1186/s13661-024-01881-z
Jing Zhang
{"title":"Sign-changing solutions for coupled Schrödinger system","authors":"Jing Zhang","doi":"10.1186/s13661-024-01881-z","DOIUrl":"https://doi.org/10.1186/s13661-024-01881-z","url":null,"abstract":"In this paper we study the following nonlinear Schrödinger system: $$ textstylebegin{cases} -Delta u+alpha u = vert u vert ^{p-1}u+frac{2}{q+1} lambda vert u vert ^{ frac{p-3}{2}}u vert v vert ^{frac{q+1}{2}},quad x in mathbb{R}^{3}, -Delta v+beta v = vert v vert ^{q-1}v+frac{2}{p+1} lambda vert u vert ^{ frac{p+1}{2}} vert v vert ^{frac{q-3}{2}}v ,quad x in mathbb{R}^{3}, u(x)rightarrow 0,qquad v(x)rightarrow 0,quad text{as } vert x vert rightarrow infty , end{cases} $$ where $3leq p, q<5$ , α, β are positive parameters. We show that there exists $lambda _{k}>0$ such that the equation has at least k radially symmetric sign-changing solutions and at least k seminodal solutions for each $kin mathbb{N}$ and $lambda in (0, lambda _{k})$ . Moreover, we show the existence of a least energy radially symmetric sign-changing solution for each $lambda in (0, lambda _{0})$ where $lambda _{0}in (0, lambda _{1}]$ .","PeriodicalId":49228,"journal":{"name":"Boundary Value Problems","volume":"92 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141191518","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
Fractional double-phase nonlocal equation in Musielak-Orlicz Sobolev space Musielak-Orlicz Sobolev 空间中的分数双相非局部方程
IF 1.7 4区 数学
Boundary Value Problems Pub Date : 2024-05-29 DOI: 10.1186/s13661-024-01877-9
Tahar Bouali, Rafik Guefaifia, Salah Boulaaras
{"title":"Fractional double-phase nonlocal equation in Musielak-Orlicz Sobolev space","authors":"Tahar Bouali, Rafik Guefaifia, Salah Boulaaras","doi":"10.1186/s13661-024-01877-9","DOIUrl":"https://doi.org/10.1186/s13661-024-01877-9","url":null,"abstract":"In this paper, we analyze the existence of solutions to a double-phase fractional equation of the Kirchhoff type in Musielak-Orlicz Sobolev space with variable exponents. Our approach is mainly based on the sub-supersolution method and the mountain pass theorem.","PeriodicalId":49228,"journal":{"name":"Boundary Value Problems","volume":"7 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141191571","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
Oscillatory criteria of noncanonical even-order differential equations with a superlinear neutral term 带有超线性中性项的非经典偶阶微分方程的振荡标准
IF 1.7 4区 数学
Boundary Value Problems Pub Date : 2024-05-27 DOI: 10.1186/s13661-024-01873-z
A. A. El-Gaber
{"title":"Oscillatory criteria of noncanonical even-order differential equations with a superlinear neutral term","authors":"A. A. El-Gaber","doi":"10.1186/s13661-024-01873-z","DOIUrl":"https://doi.org/10.1186/s13661-024-01873-z","url":null,"abstract":"The oscillatory behavior of solutions of an even-order differential equation with a superlinear neutral term is considered using Riccati and generalized Riccati transformations, the integral averaging technique, and the theory of comparison. New sufficient conditions are established in the noncanonical case. An example is given to support our results.","PeriodicalId":49228,"journal":{"name":"Boundary Value Problems","volume":"7 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141173417","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
Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions 具有卷积基尔霍夫函数的非局部椭圆方程的精确解和分岔曲线
IF 1.7 4区 数学
Boundary Value Problems Pub Date : 2024-05-20 DOI: 10.1186/s13661-024-01871-1
Tetsutaro Shibata
{"title":"Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions","authors":"Tetsutaro Shibata","doi":"10.1186/s13661-024-01871-1","DOIUrl":"https://doi.org/10.1186/s13661-024-01871-1","url":null,"abstract":"We study the one-dimensional nonlocal elliptic equation of Kirchhoff type with convolutional Kirchhoff functions. We establish the exact solutions $u_{lambda}$ and bifurcation curves $lambda (alpha )$ , where $alpha := Vert u_{lambda}Vert _{infty}$ .","PeriodicalId":49228,"journal":{"name":"Boundary Value Problems","volume":"28 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141149247","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 qualitative analysis of a fractional hybrid Langevin differential equation with novel boundary conditions 带新边界条件的分式混合朗文微分方程的定性分析
IF 1.7 4区 数学
Boundary Value Problems Pub Date : 2024-05-17 DOI: 10.1186/s13661-024-01872-0
Gohar Ali, Rahman Ullah Khan, Kamran, Ahmad Aloqaily, Nabil Mlaiki
{"title":"On qualitative analysis of a fractional hybrid Langevin differential equation with novel boundary conditions","authors":"Gohar Ali, Rahman Ullah Khan, Kamran, Ahmad Aloqaily, Nabil Mlaiki","doi":"10.1186/s13661-024-01872-0","DOIUrl":"https://doi.org/10.1186/s13661-024-01872-0","url":null,"abstract":"A hybrid system interacts with the discrete and continuous dynamics of a physical dynamical system. The notion of a hybrid system gives embedded control systems a great advantage. The Langevin differential equation can accurately depict many physical phenomena and help researchers effectively represent anomalous diffusion. This paper considers a fractional hybrid Langevin differential equation, including the ψ-Caputo fractional operator. Furthermore, some novel boundaries selected are considered to be a problem. We used the Schauder and Banach fixed-point theorems to prove the existence and uniqueness of solutions to the considered problem. Additionally, the Ulam-Hyer stability is evaluated. Finally, we present a representative example to verify the theoretical outcomes of our findings.","PeriodicalId":49228,"journal":{"name":"Boundary Value Problems","volume":"50 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141058889","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
Effect of slip boundary conditions on unsteady pulsatile nanofluid flow through a sinusoidal channel: an analytical study 滑移边界条件对流经正弦通道的非稳态脉动纳米流体流动的影响：一项分析研究
IF 1.7 4区 数学
Boundary Value Problems Pub Date : 2024-05-14 DOI: 10.1186/s13661-024-01862-2
A. S. Dawood, Faisal A. Kroush, Ramzy M. Abumandour, Islam M. Eldesoky
{"title":"Effect of slip boundary conditions on unsteady pulsatile nanofluid flow through a sinusoidal channel: an analytical study","authors":"A. S. Dawood, Faisal A. Kroush, Ramzy M. Abumandour, Islam M. Eldesoky","doi":"10.1186/s13661-024-01862-2","DOIUrl":"https://doi.org/10.1186/s13661-024-01862-2","url":null,"abstract":"A novel analysis of the pulsatile nano-blood flow through a sinusoidal wavy channel, emphasizing the significance of diverse influences in the modelling, is investigated in this paper. This study examines the collective effects of slip boundary conditions, magnetic field, porosity, channel waviness, nanoparticle concentration, and heat source on nano-blood flow in a two-dimensional wavy channel. In contrast to prior research that assumed a constant pulsatile pressure gradient during channel waviness, this innovative study introduces a variable pressure gradient that significantly influences several associated parameters. The mathematical model characterising nano-blood flow in a horizontally wavy channel is solved using the perturbation technique. Analytical solutions for fundamental variables such as stream function, velocity, wall shear stress, pressure gradient, and temperature are visually depicted across different physical parameter values. The findings obtained for various parameter values in the given problem demonstrate a significant influence of the amplitude ratio parameter of channel waviness, Hartmann number of the magnetic field, permeability parameter of the porous medium, Knudsen number due to the slip boundary, volume fraction of nanoparticles, radiation parameter, Prandtl number, and heat source parameters on the flow dynamics. The simulations provide valuable insights into the decrease in velocity with increasing magnetic field and its increase with increasing permeability and slip parameters. Additionally, the temperature increases with increasing nanoparticle volume fraction and radiation parameter, while it decreases with increasing Prandtl number.","PeriodicalId":49228,"journal":{"name":"Boundary Value Problems","volume":"161 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140936228","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 of periodic solutions for a class of ((phi _{1},phi _{2}))-Laplacian difference system with asymptotically ((p,q))-linear conditions 一类具有渐近((p,q)线性条件的((phi _{1},phi _{2}))-拉普拉契亚差分系统周期解的存在性
IF 1.7 4区 数学
Boundary Value Problems Pub Date : 2024-05-13 DOI: 10.1186/s13661-024-01868-w
Hai-yun Deng, Xiao-yan Lin, Yu-bo He
{"title":"Existence of periodic solutions for a class of ((phi _{1},phi _{2}))-Laplacian difference system with asymptotically ((p,q))-linear conditions","authors":"Hai-yun Deng, Xiao-yan Lin, Yu-bo He","doi":"10.1186/s13661-024-01868-w","DOIUrl":"https://doi.org/10.1186/s13661-024-01868-w","url":null,"abstract":"In this paper, we consider a $(phi _{1},phi _{2})$ -Laplacian system as follows: $$begin{aligned} textstylebegin{cases} Delta phi _{1} (Delta u(t-1) )+nabla _{u} F(t,u(t),v(t))=0, Delta phi _{2} (Delta v(t-1) )+nabla _{v} F(t,u(t),v(t))=0, end{cases}displaystyle end{aligned}$$ where $F(t,u(t),v(t))=-K(t,u(t),v(t))+W(t,u(t),v(t))$ is T-periodic in t. By using the mountain pass theorem, we obtain that the $(phi _{1},phi _{2})$ -Laplacian system has at least one periodic solution if W is asymptotically $(p,q)$ -linear at infinity. Our results improve and extend some known works.","PeriodicalId":49228,"journal":{"name":"Boundary Value Problems","volume":"18 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140936409","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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