Pub Date : 2023-04-24DOI: 10.1186/s13661-023-01735-0
Nauryzbay Adil, Abdumauvlen S. Bersyhev, B. Eshmatov, Zharasbek Baishemirov
{"title":"Solvability and Volterra property of nonlocal problems for mixed fractional-order diffusion-wave equation","authors":"Nauryzbay Adil, Abdumauvlen S. Bersyhev, B. Eshmatov, Zharasbek Baishemirov","doi":"10.1186/s13661-023-01735-0","DOIUrl":"https://doi.org/10.1186/s13661-023-01735-0","url":null,"abstract":"","PeriodicalId":55333,"journal":{"name":"Boundary Value Problems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2023-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46137827","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}
Pub Date : 2023-04-24DOI: 10.1186/s13661-023-01737-y
F. Hezenci, Hasan Kara, H. Budak
{"title":"Conformable fractional versions of Hermite–Hadamard-type inequalities for twice-differentiable functions","authors":"F. Hezenci, Hasan Kara, H. Budak","doi":"10.1186/s13661-023-01737-y","DOIUrl":"https://doi.org/10.1186/s13661-023-01737-y","url":null,"abstract":"","PeriodicalId":55333,"journal":{"name":"Boundary Value Problems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2023-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42575021","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}
Pub Date : 2023-04-20DOI: 10.1186/s13661-023-01732-3
R. Alsaedi, A. Ghanmi, N. Zeddini
{"title":"Positive continuous solutions for some semilinear elliptic problems in the half space","authors":"R. Alsaedi, A. Ghanmi, N. Zeddini","doi":"10.1186/s13661-023-01732-3","DOIUrl":"https://doi.org/10.1186/s13661-023-01732-3","url":null,"abstract":"","PeriodicalId":55333,"journal":{"name":"Boundary Value Problems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2023-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42033283","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}
Pub Date : 2023-04-19DOI: 10.1186/s13661-023-01731-4
Rui Gao, Yanfei Bai
{"title":"A Stackelberg reinsurance-investment game with derivatives trading","authors":"Rui Gao, Yanfei Bai","doi":"10.1186/s13661-023-01731-4","DOIUrl":"https://doi.org/10.1186/s13661-023-01731-4","url":null,"abstract":"","PeriodicalId":55333,"journal":{"name":"Boundary Value Problems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2023-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42452116","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}
Pub Date : 2023-04-12DOI: 10.1186/s13661-023-01727-0
K. Ospanov
{"title":"Well posedness for one class of elliptic equations with drift","authors":"K. Ospanov","doi":"10.1186/s13661-023-01727-0","DOIUrl":"https://doi.org/10.1186/s13661-023-01727-0","url":null,"abstract":"","PeriodicalId":55333,"journal":{"name":"Boundary Value Problems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2023-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42511968","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}
Pub Date : 2023-04-11DOI: 10.1186/s13661-023-01729-y
Zhen Chen, Fan Wu
{"title":"Blow-up criteria of the simplified Ericksen–Leslie system","authors":"Zhen Chen, Fan Wu","doi":"10.1186/s13661-023-01729-y","DOIUrl":"https://doi.org/10.1186/s13661-023-01729-y","url":null,"abstract":"","PeriodicalId":55333,"journal":{"name":"Boundary Value Problems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2023-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49634195","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}
Pub Date : 2023-04-07DOI: 10.1186/s13661-023-01726-1
E. Alvarez, R. Grau, R. Meriño
Abstract In this paper we investigate the following fractional order in time integrodifferential problem $$ mathbb{D}_{t}^{alpha}u(t)+Au(t)=f bigl(t,u(t) bigr)+ int _{-infty}^{t} k(t-s)g bigl(s,u(s) bigr),ds, quad t in mathbb{R}. $$ Dtαu(t)+Au(t)=f(t,u(t))+∫−∞tk(t−s)g(s,u(s))ds,t∈R. Here, $mathbb{D}_{t}^{alpha}$ Dtα is the Caputo derivative. We obtain results on the existence and uniqueness of $(omega ,c)$ (ω,c) -periodic mild solutions assuming that − A generates an analytic semigroup on a Banach space X and f , g , and k satisfy suitable conditions. Finally, an interesting example that fits our framework is given.
摘要本文研究了时间积分微分问题$$ mathbb{D}_{t}^{alpha}u(t)+Au(t)=f bigl(t,u(t) bigr)+ int _{-infty}^{t} k(t-s)g bigl(s,u(s) bigr),ds, quad t in mathbb{R}. $$ D t α u (t) + A u (t) = f (t, u (t)) +∫−∞t k (t - s) g (s, u (s)) D s, t∈R中的分数阶问题。这里,$mathbb{D}_{t}^{alpha}$ dt α是卡普托导数。假设−A在Banach空间X上生成解析半群,且f、g、k满足适当条件,得到$(omega ,c)$ (ω, c) -周期温和解的存在唯一性。最后,给出了一个适合我们框架的有趣示例。
{"title":"$(omega ,c)$-periodic solutions for a class of fractional integrodifferential equations","authors":"E. Alvarez, R. Grau, R. Meriño","doi":"10.1186/s13661-023-01726-1","DOIUrl":"https://doi.org/10.1186/s13661-023-01726-1","url":null,"abstract":"Abstract In this paper we investigate the following fractional order in time integrodifferential problem $$ mathbb{D}_{t}^{alpha}u(t)+Au(t)=f bigl(t,u(t) bigr)+ int _{-infty}^{t} k(t-s)g bigl(s,u(s) bigr),ds, quad t in mathbb{R}. $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msubsup> <mml:mi>D</mml:mi> <mml:mi>t</mml:mi> <mml:mi>α</mml:mi> </mml:msubsup> <mml:mi>u</mml:mi> <mml:mo>(</mml:mo> <mml:mi>t</mml:mi> <mml:mo>)</mml:mo> <mml:mo>+</mml:mo> <mml:mi>A</mml:mi> <mml:mi>u</mml:mi> <mml:mo>(</mml:mo> <mml:mi>t</mml:mi> <mml:mo>)</mml:mo> <mml:mo>=</mml:mo> <mml:mi>f</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>t</mml:mi> <mml:mo>,</mml:mo> <mml:mi>u</mml:mi> <mml:mo>(</mml:mo> <mml:mi>t</mml:mi> <mml:mo>)</mml:mo> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>+</mml:mo> <mml:msubsup> <mml:mo>∫</mml:mo> <mml:mrow> <mml:mo>−</mml:mo> <mml:mi>∞</mml:mi> </mml:mrow> <mml:mi>t</mml:mi> </mml:msubsup> <mml:mi>k</mml:mi> <mml:mo>(</mml:mo> <mml:mi>t</mml:mi> <mml:mo>−</mml:mo> <mml:mi>s</mml:mi> <mml:mo>)</mml:mo> <mml:mi>g</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>s</mml:mi> <mml:mo>,</mml:mo> <mml:mi>u</mml:mi> <mml:mo>(</mml:mo> <mml:mi>s</mml:mi> <mml:mo>)</mml:mo> <mml:mo>)</mml:mo> </mml:mrow> <mml:mspace /> <mml:mi>d</mml:mi> <mml:mi>s</mml:mi> <mml:mo>,</mml:mo> <mml:mspace /> <mml:mi>t</mml:mi> <mml:mo>∈</mml:mo> <mml:mi>R</mml:mi> <mml:mo>.</mml:mo> </mml:math> Here, $mathbb{D}_{t}^{alpha}$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msubsup> <mml:mi>D</mml:mi> <mml:mi>t</mml:mi> <mml:mi>α</mml:mi> </mml:msubsup> </mml:math> is the Caputo derivative. We obtain results on the existence and uniqueness of $(omega ,c)$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mo>(</mml:mo> <mml:mi>ω</mml:mi> <mml:mo>,</mml:mo> <mml:mi>c</mml:mi> <mml:mo>)</mml:mo> </mml:math> -periodic mild solutions assuming that − A generates an analytic semigroup on a Banach space X and f , g , and k satisfy suitable conditions. Finally, an interesting example that fits our framework is given.","PeriodicalId":55333,"journal":{"name":"Boundary Value Problems","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135742747","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}
Pub Date : 2023-04-05DOI: 10.1186/s13661-023-01725-2
Y. R. S. Leuyacc
{"title":"A class of Schrödinger elliptic equations involving supercritical exponential growth","authors":"Y. R. S. Leuyacc","doi":"10.1186/s13661-023-01725-2","DOIUrl":"https://doi.org/10.1186/s13661-023-01725-2","url":null,"abstract":"","PeriodicalId":55333,"journal":{"name":"Boundary Value Problems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2023-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47578184","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}
Pub Date : 2023-04-05DOI: 10.1186/s13661-023-01724-3
M. Ghasemi, Keivan Mohammadi, A. Alipanah
{"title":"Numerical solution of system of second-order integro-differential equations using nonclassical sinc collocation method","authors":"M. Ghasemi, Keivan Mohammadi, A. Alipanah","doi":"10.1186/s13661-023-01724-3","DOIUrl":"https://doi.org/10.1186/s13661-023-01724-3","url":null,"abstract":"","PeriodicalId":55333,"journal":{"name":"Boundary Value Problems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2023-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46904030","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}
Pub Date : 2023-04-04DOI: 10.1186/s13661-023-01722-5
Cui Ren, Sen Ming, Xiongmei Fan, Jiayi Du
{"title":"Blow-up of solutions to the semilinear wave equation with scale invariant damping on exterior domain","authors":"Cui Ren, Sen Ming, Xiongmei Fan, Jiayi Du","doi":"10.1186/s13661-023-01722-5","DOIUrl":"https://doi.org/10.1186/s13661-023-01722-5","url":null,"abstract":"","PeriodicalId":55333,"journal":{"name":"Boundary Value Problems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2023-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41293949","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}