. In this article, we deal with a logarithmic wave equation with distributed delay. Firstly, we establish the well-posedness by utilizing the semigroup theory. Later, we obtain the global existence of solutions by using the well-depth method. Moreover, under appropriate assumptions on the weight of the distributed delay and that of strong damping, we get the exponential decay results.
{"title":"Existence and exponential decay of a logarithmic wave equation with distributed delay","authors":"Hazal Yüksekkaya, E. Pişkin","doi":"10.18514/mmn.2023.4155","DOIUrl":"https://doi.org/10.18514/mmn.2023.4155","url":null,"abstract":". In this article, we deal with a logarithmic wave equation with distributed delay. Firstly, we establish the well-posedness by utilizing the semigroup theory. Later, we obtain the global existence of solutions by using the well-depth method. Moreover, under appropriate assumptions on the weight of the distributed delay and that of strong damping, we get the exponential decay results.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68208140","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}
Teerathram Raghuwanshi, G. Pandey, M. Pandey, A. Goyal
{"title":"On generalized projective curvature tensor of para-Kenmotsu manifolds","authors":"Teerathram Raghuwanshi, G. Pandey, M. Pandey, A. Goyal","doi":"10.18514/mmn.2023.3736","DOIUrl":"https://doi.org/10.18514/mmn.2023.3736","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68204493","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}
{"title":"Tauberian conditions under which statistical convergence follows from statistical summability by weighted mean method in two-normed spaces","authors":"Ibrahim Çanak, Hulya Bakicierler","doi":"10.18514/mmn.2023.3740","DOIUrl":"https://doi.org/10.18514/mmn.2023.3740","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68204669","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}
{"title":"On a reduction of a nonlinear autonomous boundary-value problem to a critical case of the first order","authors":"O. Boichuk, S. Chuiko, O. Nesmelova","doi":"10.18514/mmn.2023.3930","DOIUrl":"https://doi.org/10.18514/mmn.2023.3930","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68205316","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}
. In this paper, we study the existence and stability of solutions for impulsive pantograph fractional integro-differential equation via ψ -Hilfer fractional derivative in a appropriate Banach space. Our approach is based on fixed point theorems of Darbo’s and M¨onch via Kuratowski measure of non-compactness. An example is given to illustrate our approach.
{"title":"Qualitative study for impulsive pantograph fractional integro-differential equation via ψ-Hilfer derivative","authors":"M. Beddani, Hamid Beddani, Michal Feckan","doi":"10.18514/mmn.2023.4032","DOIUrl":"https://doi.org/10.18514/mmn.2023.4032","url":null,"abstract":". In this paper, we study the existence and stability of solutions for impulsive pantograph fractional integro-differential equation via ψ -Hilfer fractional derivative in a appropriate Banach space. Our approach is based on fixed point theorems of Darbo’s and M¨onch via Kuratowski measure of non-compactness. An example is given to illustrate our approach.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68206825","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}
S. Mehmood, F. Zafar, H. Furkan, N. Yasmin, A. Akdemir
{"title":"On Fejér-Hermite-Hadamard inequalities for functions involving fractional integrals","authors":"S. Mehmood, F. Zafar, H. Furkan, N. Yasmin, A. Akdemir","doi":"10.18514/mmn.2023.3730","DOIUrl":"https://doi.org/10.18514/mmn.2023.3730","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68204349","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}
A. Oğuz, J. Alzabut, A. Özbekler, J. Jonnalagadda
{"title":"Lyapunov and Hartman-type inequalities for higher-order discrete fractional boundary value problems","authors":"A. Oğuz, J. Alzabut, A. Özbekler, J. Jonnalagadda","doi":"10.18514/mmn.2023.3931","DOIUrl":"https://doi.org/10.18514/mmn.2023.3931","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68205396","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}
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