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Yengibaryan, B. N.; Yengibaryan, N. B.
On compactness of regular integral operators in the space \(L_1\). (English. Russian original) Zbl 07124795
J. Contemp. Math. Anal., Armen. Acad. Sci. 53, No. 6, 317-320 (2018); translation from Izv. Nats. Akad. Nauk Armen., Mat. 53, No. 6, 46-52 (2018).
MSC:  45A05 45H05 45D05
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\textit{B. N. Yengibaryan} and \textit{N. B. Yengibaryan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 53, No. 6, 317--320 (2018; Zbl 07124795); translation from Izv. Nats. Akad. Nauk Armen., Mat. 53, No. 6, 46--52 (2018)
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Rebenko, O. L.; Tertychnyi, M. V.
Property of mixing of continuous classical systems with strong superstable interactions. (English. Ukrainian original) Zbl 1426.82044
Ukr. Math. J. 69, No. 8, 1262-1274 (2018); translation from Ukr. Mat. Zh. 69, No. 8, 1084-1095 (2017).
MSC:  82C22 82D05 45H05
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\textit{O. L. Rebenko} and \textit{M. V. Tertychnyi}, Ukr. Math. J. 69, No. 8, 1262--1274 (2018; Zbl 1426.82044); translation from Ukr. Mat. Zh. 69, No. 8, 1084--1095 (2017)
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Bobodzhanova, M. A.; Tuichiev, O. D.; Shaposhnikova, D. A.
Substantiation of a theorem on limit transition in singularly perturbed integral system with diagonal degeneration of a kernel. (English. Russian original) Zbl 1400.45003
Russ. Math. 62, No. 4, 18-28 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 4, 21-32 (2018).
MSC:  45E10 45H05 47A52
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\textit{M. A. Bobodzhanova} et al., Russ. Math. 62, No. 4, 18--28 (2018; Zbl 1400.45003); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 4, 21--32 (2018)
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Khasanov, A. B.; Khoitmetov, U. A.
On integration of Korteweg-de Vries equation in a class of rapidly decreasing complex-valued functions. (English. Russian original) Zbl 1393.35207
Russ. Math. 62, No. 3, 68-78 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 3, 79-90 (2018).
MSC:  35Q53 37K15 45H05
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\textit{A. B. Khasanov} and \textit{U. A. Khoitmetov}, Russ. Math. 62, No. 3, 68--78 (2018; Zbl 1393.35207); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 3, 79--90 (2018)
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Barseghyan, A. G.
On integral equations the kernels of which are homogeneous functions of degree \((-1)\). (English. Russian original) Zbl 1390.45002
J. Contemp. Math. Anal., Armen. Acad. Sci. 53, No. 1, 47-55 (2018); translation from Izv. Nats. Akad. Nauk Armen., Mat. 53, No. 1, 23-36 (2018).
MSC:  45A05 45H05 45D05
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\textit{A. G. Barseghyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 53, No. 1, 47--55 (2018; Zbl 1390.45002); translation from Izv. Nats. Akad. Nauk Armen., Mat. 53, No. 1, 23--36 (2018)
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Brunner, Hermann
Volterra integral equations. An introduction to theory and applications. (English) Zbl 1376.45002
Cambridge Monographs on Applied and Computational Mathematics 30. Cambridge: Cambridge University Press (ISBN 978-1-107-09872-5/hbk; 978-1-316-16249-1/ebook). xvi, 387 p. (2017).
Reviewer: Gustaf Gripenberg (Helsingfors)
MSC:  45D05 45H05 34A12 45M05 45M10 45C05 45P05 47G10 45-02
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\textit{H. Brunner}, Volterra integral equations. An introduction to theory and applications. Cambridge: Cambridge University Press (2017; Zbl 1376.45002)
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Kalistratova, A. V.; Nikitin, A. A.
Study of Dieckmann’s equation with integral kernels having variable kurtosis coefficient. (English. Russian original) Zbl 1359.45002
Dokl. Math. 94, No. 2, 574-577 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 470, No. 6, 656-659 (2016).
MSC:  45H05 92D40
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\textit{A. V. Kalistratova} and \textit{A. A. Nikitin}, Dokl. Math. 94, No. 2, 574--577 (2016; Zbl 1359.45002); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 470, No. 6, 656--659 (2016)
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Sakhnovich, Lev A.
Integral equations with difference kernels on finite intervals. 2nd revised and extended edition. (English) Zbl 1334.45001
Operator Theory: Advances and Applications 84. Cham: Springer (ISBN 978-3-319-16488-5/hbk; 978-3-319-16489-2/ebook). xviii, 226 p. (2015).
Reviewer: Alexander N. Tynda (Penza)
MSC:  45-02 45H05 60G51 47G10 45B05
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\textit{L. A. Sakhnovich}, Integral equations with difference kernels on finite intervals. 2nd revised and extended edition. Cham: Springer (2015; Zbl 1334.45001)
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Abel, Mart
On compact and precompact elements in topological algebras. (English) Zbl 1308.45004
Abel, Mart (ed.), Proceedings of the international conference on topological algebras and their applications, ICTAA 2013, Tartu, Estonia, May 30 – June 2, 2013 to celebrate the 70th birthday of Mati Abel. Tartu: Estonian Mathematical Society (ISBN 978-9949-32-499-6/pbk). Mathematics Studies (Tartu) 6, 26-38 (2014).
MSC:  45H05 13J99 22A05 16W80
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\textit{M. Abel}, in: Proceedings of the international conference on topological algebras and their applications, ICTAA 2013, Tartu, Estonia, May 30 -- June 2, 2013 to celebrate the 70th birthday of Mati Abel. Tartu: Estonian Mathematical Society. 26--38 (2014; Zbl 1308.45004)
Khromov, A. P.; Khromova, G. V.
On the regularization of a class of integral equations of the first kind whose kernels are discontinuous on the diagonals. (Russian, English) Zbl 1274.45009
Zh. Vychisl. Mat. Mat. Fiz. 52, No. 8, 1363-1372 (2012); translation in Comput. Math. Math. Phys. 52, No. 8, 1079-1088 (2012).
MSC:  45H05
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\textit{A. P. Khromov} and \textit{G. V. Khromova}, Zh. Vychisl. Mat. Mat. Fiz. 52, No. 8, 1363--1372 (2012; Zbl 1274.45009); translation in Comput. Math. Math. Phys. 52, No. 8, 1079--1088 (2012)
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Bieniasz, Lesław K.
Automatic simulation of electrochemical transients by the adaptive Huber method for Volterra integral equations involving kernel terms \(\exp[ -\alpha (t - \tau )]\text{erex} \{[\beta (t - \tau )]^{1/2}\}\) and \(\exp[ - \alpha (t - \tau )]\text{daw} \{[\beta (t - \tau )]^{1/2}\}\). (English) Zbl 1310.65163
J. Math. Chem. 50, No. 4, 765-781 (2012).
MSC:  65R20 45D05 45H05 78A57
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\textit{L. K. Bieniasz}, J. Math. Chem. 50, No. 4, 765--781 (2012; Zbl 1310.65163)
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Pinnau, R.; Thömmes, G.
Model hierarchies and optimal control of radiative transfer. (English) Zbl 1222.85009
Fitt, Alistair D. (ed.) et al., Progress in industrial mathematics at ECMI 2008. Proceedings of the 15th European conference on mathematics for industry, London, UK, June 30 - July 4, 2008. Berlin: Springer (ISBN 978-3-642-12109-8/hbk; 978-3-642-12110-4/ebook). Mathematics in Industry 15, 419-424 (2010).
MSC:  85A25 45H05 35Q60
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\textit{R. Pinnau} and \textit{G. Thömmes}, Math. Ind. 15, 419--424 (2010; Zbl 1222.85009)
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Kilbas, A. A.; Skoromnik, O. V.
Solution of a multidimensional integral equation of the first kind with the Legendre function in the kernel over a pyramidal domain. (English. Russian original) Zbl 1180.45003
Dokl. Math. 80, No. 3, 847-851 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 4, 442-446 (2009).
MSC:  45H05
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\textit{A. A. Kilbas} and \textit{O. V. Skoromnik}, Dokl. Math. 80, No. 3, 847--851 (2009; Zbl 1180.45003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 4, 442--446 (2009)
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Mastroianni, Giuseppe; Milovanović, Gradimir V.
Interpolation processes. Basic theory and applications. (English) Zbl 1154.41001
Springer Monographs in Mathematics. Berlin: Springer (ISBN 978-3-540-68346-9/hbk). xiv, 444 p. (2008).
Reviewer: Ioan Raşa (Cluj-Napoca)
MSC:  41-01 33-01 33-XX 41-XX 42Axx 45A05 45B05 45H05 65B10 65Dxx
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\textit{G. Mastroianni} and \textit{G. V. Milovanović}, Interpolation processes. Basic theory and applications. Berlin: Springer (2008; Zbl 1154.41001)
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