Solvability in Hölder spaces of an integral equation which models dynamics of the capillary rise
Hanna Okrasińska-Płociniczak , Łukasz Płociniczak , Juan Rocha , Kishin Sadarangani
AbstractIn this paper, we focus on an integral equation which allows us to model the dynamics of the capillary rise of a fluid inside a tubular column. Using Schauder's fixed-point theorem, we prove that such integral equation has at least one solution in the Hölder space H1[0,b], where b>0. Moreover, we are able to prove the uniqueness of the solution under certain conditions. Our results extend the ones obtained in earlier works (see ).
|Journal series||Journal of Mathematical Analysis and Applications, ISSN 0022-247X, e-ISSN 1096-0813, (N/A 70 pkt)|
|Keywords in English||Capillary rise, Fixed point, Hölder spaces, Nonlinear Volterra equation|
|Score||= 70.0, 06-10-2020, ArticleFromJournal|
|Publication indicators||= 0; : 2018 = 1.187; : 2019 = 1.22 (2) - 2019=1.264 (5)|
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