Mendoza, Francisco J.; Arredondo, Juan H.; Sánchez-Perales, Salvador; Flores-Medina, Oswaldo; Torres-Teutle, Edgar The double Fourier transform of non-Lebesgue integrable functions of bounded Hardy-Krause variation. (English) Zbl 07708355 Georgian Math. J. 30, No. 3, 403-415 (2023). Reviewer: E. K. Narayanan (Bangalore) MSC: 42B10 42C10 46B07 PDF BibTeX XML Cite \textit{F. J. Mendoza} et al., Georgian Math. J. 30, No. 3, 403--415 (2023; Zbl 07708355) Full Text: DOI
Silva, Marielle Ap.; Federson, Márcia Oscillatory solutions of differential equations with several discrete delays and generalized ODEs. (English) Zbl 07708157 Eur. J. Math. 9, No. 2, Paper No. 44, 27 p. (2023). MSC: 34K06 34A06 34K11 26A39 39A21 PDF BibTeX XML Cite \textit{M. Ap. Silva} and \textit{M. Federson}, Eur. J. Math. 9, No. 2, Paper No. 44, 27 p. (2023; Zbl 07708157) Full Text: DOI
Skvortsov, Valentin; Tulone, Francesco A version of Hake’s theorem for Kurzweil-Henstock integral in terms of variational measure. (English) Zbl 1472.26002 Georgian Math. J. 28, No. 3, 471-476 (2021). MSC: 26A39 28C15 PDF BibTeX XML Cite \textit{V. Skvortsov} and \textit{F. Tulone}, Georgian Math. J. 28, No. 3, 471--476 (2021; Zbl 1472.26002) Full Text: DOI
Federson, M.; Mawhin, J.; Mesquita, C. Existence of periodic solutions and bifurcation points for generalized ordinary differential equations. (English) Zbl 1471.34011 Bull. Sci. Math. 169, Article ID 102991, 31 p. (2021). MSC: 34A06 26A39 34C23 34C25 47H11 PDF BibTeX XML Cite \textit{M. Federson} et al., Bull. Sci. Math. 169, Article ID 102991, 31 p. (2021; Zbl 1471.34011) Full Text: DOI
Cheng, Rong; Ye, Guoju; Liu, Wei; Zhao, Dafang Existence and uniqueness of solutions for a class of integro-differential equation. (Chinese. English summary) Zbl 1449.45014 J. Jilin Univ., Sci. 57, No. 2, 213-218 (2019). MSC: 45J05 26A39 PDF BibTeX XML Cite \textit{R. Cheng} et al., J. Jilin Univ., Sci. 57, No. 2, 213--218 (2019; Zbl 1449.45014) Full Text: DOI
Cheng, Rong; Ye, Guoju; Liu, Wei; Zhao, Dafang On Cauchy problem for distributional differential equation. (Chinese. English summary) Zbl 1438.34006 J. Hebei Norm. Univ., Nat. Sci. Ed. 43, No. 2, 93-98 (2019). MSC: 34A06 PDF BibTeX XML Cite \textit{R. Cheng} et al., J. Hebei Norm. Univ., Nat. Sci. Ed. 43, No. 2, 93--98 (2019; Zbl 1438.34006) Full Text: DOI
Federson, M.; Frasson, M.; Mesquita, J. G.; Tacuri, P. H. Measure neutral functional differential equations as generalized ODEs. (English) Zbl 1417.34195 J. Dyn. Differ. Equations 31, No. 1, 207-236 (2019). Reviewer: Antonín Slavík (Praha) MSC: 34K40 34K05 26A39 45G10 PDF BibTeX XML Cite \textit{M. Federson} et al., J. Dyn. Differ. Equations 31, No. 1, 207--236 (2019; Zbl 1417.34195) Full Text: DOI
Federson, M.; Grau, R.; Mesquita, J. G. Prolongation of solutions of measure differential equations and dynamic equations on time scales. (English) Zbl 1414.34073 Math. Nachr. 292, No. 1, 22-55 (2019). MSC: 34N05 28E05 34A12 PDF BibTeX XML Cite \textit{M. Federson} et al., Math. Nachr. 292, No. 1, 22--55 (2019; Zbl 1414.34073) Full Text: DOI
Lone, Nisar A.; Chishti, T. A. Fundamental theorem of calculus under weaker forms of primitive. (English) Zbl 1409.26017 Acta Univ. Sapientiae, Math. 10, No. 1, 101-111 (2018). MSC: 26E20 46G10 46G12 PDF BibTeX XML Cite \textit{N. A. Lone} and \textit{T. A. Chishti}, Acta Univ. Sapientiae, Math. 10, No. 1, 101--111 (2018; Zbl 1409.26017) Full Text: DOI
Li, Baolin; Wang, Yunfeng Boundedness of solutions of measure functional differential equations with infinite delay. (Chinese. English summary) Zbl 1413.34219 J. Sichuan Norm. Univ., Nat. Sci. 41, No. 2, 190-196 (2018). MSC: 34K12 26A39 PDF BibTeX XML Cite \textit{B. Li} and \textit{Y. Wang}, J. Sichuan Norm. Univ., Nat. Sci. 41, No. 2, 190--196 (2018; Zbl 1413.34219) Full Text: DOI
Fonda, Alessandro The Kurzweil-Henstock integral for undergraduates. A promenade along the marvelous theory of integration. (English) Zbl 1410.26007 Compact Textbooks in Mathematics. Cham: Birkhäuser (ISBN 978-3-319-95320-5/pbk; 978-3-319-95321-2/ebook). xii, 222 p. (2018). Reviewer: Andrey Zahariev (Plovdiv) MSC: 26-01 26A36 26A39 28A25 PDF BibTeX XML Cite \textit{A. Fonda}, The Kurzweil-Henstock integral for undergraduates. A promenade along the marvelous theory of integration. Cham: Birkhäuser (2018; Zbl 1410.26007) Full Text: DOI
Ponce, Augusto C.; van Schaftingen, Jean Gauge-measurable functions. (English) Zbl 1443.28001 Rend. Ist. Mat. Univ. Trieste 49, 113-135 (2017). MSC: 28A20 26A42 26B15 28A05 PDF BibTeX XML Cite \textit{A. C. Ponce} and \textit{J. van Schaftingen}, Rend. Ist. Mat. Univ. Trieste 49, 113--135 (2017; Zbl 1443.28001) Full Text: DOI arXiv
Považan, Jaroslav Kurzweil-Henstock integral for IF-functions. (English) Zbl 1398.26019 Notes IFS 23, No. 3, 30-43 (2017). MSC: 26E50 26A39 PDF BibTeX XML Cite \textit{J. Považan}, Notes IFS 23, No. 3, 30--43 (2017; Zbl 1398.26019) Full Text: Link
Evkhuta, N. A.; Evkhuta, O. N.; Zabreiko, P. P. NL-derivatives and NL-primitives in calculus. (Russian. English summary) Zbl 1372.26004 Dokl. Nats. Akad. Nauk Belarusi 60, No. 5, 34-40 (2016). MSC: 26A24 26A39 PDF BibTeX XML Cite \textit{N. A. Evkhuta} et al., Dokl. Nats. Akad. Nauk Belarusi 60, No. 5, 34--40 (2016; Zbl 1372.26004) Full Text: Link
Goldman, M. L.; Zabreiko, P. P. Kurzweil-Henstock integrability of the product of integrable functions. (Russian. English summary) Zbl 1372.26010 Dokl. Nats. Akad. Nauk Belarusi 60, No. 1, 18-23 (2016). MSC: 26A39 PDF BibTeX XML Cite \textit{M. L. Goldman} and \textit{P. P. Zabreiko}, Dokl. Nats. Akad. Nauk Belarusi 60, No. 1, 18--23 (2016; Zbl 1372.26010) Full Text: Link
Di Piazza, Luisa; Marraffa, Valeria; Musiał, Kazimierz Variational Henstock integrability of Banach space valued functions. (English) Zbl 1413.26019 Math. Bohem. 141, No. 2, 287-296 (2016). Reviewer: Guoju Ye (Nanjing) MSC: 26A39 26E20 PDF BibTeX XML Cite \textit{L. Di Piazza} et al., Math. Bohem. 141, No. 2, 287--296 (2016; Zbl 1413.26019) Full Text: DOI
Racca, Abraham; Cabral, Emmanuel On the double Lusin condition and convergence theorem for Kurzweil-Henstock type integrals. (English) Zbl 1389.26015 Math. Bohem. 141, No. 2, 153-168 (2016). Reviewer: Kirill Naralenkov (Moskva) MSC: 26A39 28A20 PDF BibTeX XML Cite \textit{A. Racca} and \textit{E. Cabral}, Math. Bohem. 141, No. 2, 153--168 (2016; Zbl 1389.26015) Full Text: DOI
Boccuto, A.; Skvortsov, V. A.; Tulone, F. A Hake-type theorem for integrals with respect to abstract derivation bases in the Riesz space setting. (English) Zbl 1389.28023 Math. Slovaca 65, No. 6, 1319-1336 (2015). Reviewer: Anna Rita Sambucini (Perugia) MSC: 28B15 PDF BibTeX XML Cite \textit{A. Boccuto} et al., Math. Slovaca 65, No. 6, 1319--1336 (2015; Zbl 1389.28023) Full Text: DOI
Wilczyński, Władysław Zygmunt Zahorski and contemporary real analysis. (English) Zbl 1334.26002 Wituła, Roman (ed.) et al., Monograph on the occasion of 100th birthday anniversary of Zygmunt Zahorski. Gliwice: Wydawnictwo Politechniki Śląskiej (ISBN 978-83-7880-206-8/pbk). Monografia (Gliwice) 545, 99-108 (2015). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 26-03 01A65 PDF BibTeX XML Cite \textit{W. Wilczyński}, Monogr., Gliwice 545, 99--108 (2015; Zbl 1334.26002)
Skvortsov, Valentin; Tulone, Francesco Multidimensional dyadic Kurzweil-Henstock- and Perron-type integrals in the theory of Haar and Walsh series. (English) Zbl 1301.26011 J. Math. Anal. Appl. 421, No. 2, 1502-1518 (2015). MSC: 26A39 42C10 PDF BibTeX XML Cite \textit{V. Skvortsov} and \textit{F. Tulone}, J. Math. Anal. Appl. 421, No. 2, 1502--1518 (2015; Zbl 1301.26011) Full Text: DOI
Bongiorno, Benedetto; Di Piazza, Luisa; Musiał, Kazimierz Differentiation of an additive interval measure with values in a conjugate Banach space. (English) Zbl 1292.28019 Funct. Approximatio, Comment. Math. 50, No. 1, 169-180 (2014). MSC: 28B20 26A39 28B05 46G10 54C60 PDF BibTeX XML Cite \textit{B. Bongiorno} et al., Funct. Approximatio, Comment. Math. 50, No. 1, 169--180 (2014; Zbl 1292.28019) Full Text: DOI Euclid
Skvortsov, Valentin A.; Sworowska, Tatiana; Sworowski, Piotr On approximately continuous integrals (a survey). (English) Zbl 1334.26012 Filipczak, Małgorzata (ed.) et al., Traditional and present-day topics in real analysis. Dedicated to Professor Jan Stanisław Lipiński on the occasion of his 90th birthday. Łódź: Łódź University Press, University of Łódź, Faculty of Mathematics and Computer Science (ISBN 978-83-7525-971-1/pbk). 233-252 (2013). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 26A39 26A21 26A15 PDF BibTeX XML Cite \textit{V. A. Skvortsov} et al., in: Traditional and present-day topics in real analysis. Dedicated to Professor Jan Stanisław Lipiński on the occasion of his 90th birthday. Łódź: Łódź University Press, University of Łódź, Faculty of Mathematics and Computer Science. 233--252 (2013; Zbl 1334.26012)
Sworowski, Piotr \(H_1\)-integrals with respect to some bases. (English) Zbl 1285.26017 Lith. Math. J. 53, No. 3, 356-366 (2013). MSC: 26A39 PDF BibTeX XML Cite \textit{P. Sworowski}, Lith. Math. J. 53, No. 3, 356--366 (2013; Zbl 1285.26017) Full Text: DOI
Boccuto, A.; Minotti, A. M.; Sambucini, A. R. Set-valued Kurzweil-Henstock integral in Riesz space setting. (English) Zbl 1276.28027 Panam. Math. J. 23, No. 1, 57-74 (2013). MSC: 28B20 46G10 PDF BibTeX XML Cite \textit{A. Boccuto} et al., Panam. Math. J. 23, No. 1, 57--74 (2013; Zbl 1276.28027) Full Text: arXiv
Sworowski, Piotr On the uniform strong Lusin condition. (English) Zbl 1324.26010 Math. Slovaca 63, No. 2, 229-242 (2013). Reviewer: Valentin A. Skvortsov (Moscow) MSC: 26A39 PDF BibTeX XML Cite \textit{P. Sworowski}, Math. Slovaca 63, No. 2, 229--242 (2013; Zbl 1324.26010) Full Text: DOI
Federson, Márcia; Mesquita, Jaqueline Godoy; Slavík, Antonín Basic results for functional differential and dynamic equations involving impulses. (English) Zbl 1266.34115 Math. Nachr. 286, No. 2-3, 181-204 (2013). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 34K05 34K45 34N05 34K33 PDF BibTeX XML Cite \textit{M. Federson} et al., Math. Nachr. 286, No. 2--3, 181--204 (2013; Zbl 1266.34115) Full Text: DOI
Boonpogkrong, Varayu; Chew, Tuan Seng; Lee, Peng Yee On the divergence theorem on manifolds. (English) Zbl 1252.26005 J. Math. Anal. Appl. 397, No. 1, 182-190 (2013). MSC: 26B20 26A39 PDF BibTeX XML Cite \textit{V. Boonpogkrong} et al., J. Math. Anal. Appl. 397, No. 1, 182--190 (2013; Zbl 1252.26005) Full Text: DOI
Toh, Tin-Lam; Chew, Tuan-Seng The Kurzweil-Henstock theory of stochastic integration. (English) Zbl 1265.26020 Czech. Math. J. 62, No. 3, 829-848 (2012). MSC: 26A39 60H05 PDF BibTeX XML Cite \textit{T.-L. Toh} and \textit{T.-S. Chew}, Czech. Math. J. 62, No. 3, 829--848 (2012; Zbl 1265.26020) Full Text: DOI Link
Skvortsov, Valentin A.; Sworowski, Piotr The {AP}-Denjoy and {AP}-Henstock integrals revisited. (English) Zbl 1265.26019 Czech. Math. J. 62, No. 3, 581-591 (2012). Reviewer: Kirill Naralenkov (Moskva) MSC: 26A39 26A45 PDF BibTeX XML Cite \textit{V. A. Skvortsov} and \textit{P. Sworowski}, Czech. Math. J. 62, No. 3, 581--591 (2012; Zbl 1265.26019) Full Text: DOI Link
Kurzweil, Jaroslav Generalized ordinary differential equations. Not absolutely continuous solutions. (English) Zbl 1248.34001 Series in Real Analysis 11. Hackensack, NJ: World Scientific (ISBN 978-981-4324-02-1/hbk; 978-981-4324-03-8/ebook). ix, 197 p. (2012). Reviewer: Antonín Slavík (Praha) MSC: 34-02 34A12 34G20 26A45 26A39 28B05 PDF BibTeX XML Cite \textit{J. Kurzweil}, Generalized ordinary differential equations. Not absolutely continuous solutions. Hackensack, NJ: World Scientific (2012; Zbl 1248.34001) Full Text: Link
Sarić, Branko On totalization of the Kurzweil-Henstock integral in the multidimensional space. (English) Zbl 1249.26011 Czech. Math. J. 61, No. 4, 1017-1022 (2011). MSC: 26A39 26B20 PDF BibTeX XML Cite \textit{B. Sarić}, Czech. Math. J. 61, No. 4, 1017--1022 (2011; Zbl 1249.26011) Full Text: DOI EuDML Link
Boccuto, A.; Candeloro, D.; Sambucini, A. R. A Fubini theorem in Riesz spaces for the Kurzweil-Henstock integral. (English) Zbl 1231.28011 J. Funct. Spaces Appl. 9, No. 3, 283-304 (2011). MSC: 28B15 46G10 PDF BibTeX XML Cite \textit{A. Boccuto} et al., J. Funct. Spaces Appl. 9, No. 3, 283--304 (2011; Zbl 1231.28011) Full Text: DOI
Tulone, Francesco Generality of Henstock-Kurzweil type integral on a compact zero-dimensional metric space. (English) Zbl 1265.28037 Tatra Mt. Math. Publ. 49, 81-88 (2011). Reviewer: Piotr Sworowski (Bydgoszcz) MSC: 28C15 26A39 PDF BibTeX XML Cite \textit{F. Tulone}, Tatra Mt. Math. Publ. 49, 81--88 (2011; Zbl 1265.28037) Full Text: DOI
Sworowski, Piotr Integration with one-dimensional space of gauges. (English) Zbl 1234.26021 Taiwanese J. Math. 15, No. 1, 381-394 (2011). MSC: 26A39 PDF BibTeX XML Cite \textit{P. Sworowski}, Taiwanese J. Math. 15, No. 1, 381--394 (2011; Zbl 1234.26021) Full Text: DOI
Federson, M.; Mesquita, J. G. Averaging for retarded functional differential equations. (English) Zbl 1226.34075 J. Math. Anal. Appl. 382, No. 1, 77-85 (2011). Reviewer: Andrej V. Plotnikov (Odessa) MSC: 34K33 PDF BibTeX XML Cite \textit{M. Federson} and \textit{J. G. Mesquita}, J. Math. Anal. Appl. 382, No. 1, 77--85 (2011; Zbl 1226.34075) Full Text: DOI
Di Piazza, Luisa; Musiał, Kazimierz A decomposition of Henstock-Kurzweil-Pettis integrable multifunctions. (English) Zbl 1248.28019 Curbera, Guillermo P. (ed.) et al., Vector measures, integration and related topics. Selected papers from the 3rd conference on vector measures and integration, Eichstätt, Germany, September 24–26, 2008. Basel: Birkhäuser (ISBN 978-3-0346-0210-5/hbk; 978-3-0346-0211-2/ebook). Operator Theory: Advances and Applications 201, 171-182 (2010). MSC: 28B20 26A39 28B05 46G10 54C60 PDF BibTeX XML Cite \textit{L. Di Piazza} and \textit{K. Musiał}, Oper. Theory: Adv. Appl. 201, 171--182 (2010; Zbl 1248.28019) Full Text: DOI
Sarić, Branko Cauchy’s residue theorem for a class of real valued functions. (English) Zbl 1224.26029 Czech. Math. J. 60, No. 4, 1043-1048 (2010). MSC: 26A39 26A24 PDF BibTeX XML Cite \textit{B. Sarić}, Czech. Math. J. 60, No. 4, 1043--1048 (2010; Zbl 1224.26029) Full Text: DOI arXiv EuDML
Schwabik, Štefan General integration and extensions. II. (English) Zbl 1224.26031 Czech. Math. J. 60, No. 4, 983-1005 (2010). MSC: 26A39 26A42 PDF BibTeX XML Cite \textit{Š. Schwabik}, Czech. Math. J. 60, No. 4, 983--1005 (2010; Zbl 1224.26031) Full Text: DOI EuDML Link
Schwabik, Štefan General integration and extensions. I. (English) Zbl 1224.26030 Czech. Math. J. 60, No. 4, 961-981 (2010). MSC: 26A39 26A42 PDF BibTeX XML Cite \textit{Š. Schwabik}, Czech. Math. J. 60, No. 4, 961--981 (2010; Zbl 1224.26030) Full Text: DOI EuDML Link
Ye, Guoju On Kurzweil-Henstock-Pettis and Kurzweil-Henstock integrals of Banach space-valued functions. (English) Zbl 1201.28001 Taiwanese J. Math. 14, No. 1, 213-222 (2010). Reviewer: Dumitrŭ Popa (Constanţa) MSC: 28B05 26A39 46G10 PDF BibTeX XML Cite \textit{G. Ye}, Taiwanese J. Math. 14, No. 1, 213--222 (2010; Zbl 1201.28001) Full Text: DOI
Tulone, Francesco Inversion formulae for the integral transform on a locally compact zero-dimensional group. (English) Zbl 1287.26009 Tatra Mt. Math. Publ. 44, 53-63 (2009). MSC: 26A39 42C10 43A25 43A70 PDF BibTeX XML Cite \textit{F. Tulone}, Tatra Mt. Math. Publ. 44, 53--63 (2009; Zbl 1287.26009) Full Text: DOI Link
Skvortsov, Valentin; Tulone, Francesco Kurzweil-Henstock type integral in Fourier analysis on compact zero-dimensional group. (English) Zbl 1287.26008 Tatra Mt. Math. Publ. 44, 41-51 (2009). MSC: 26A39 42C10 43A25 43A70 PDF BibTeX XML Cite \textit{V. Skvortsov} and \textit{F. Tulone}, Tatra Mt. Math. Publ. 44, 41--51 (2009; Zbl 1287.26008) Full Text: DOI Link
Schwabik, Štefan Variational measures and Kurzweil-Henstock integral. (English) Zbl 1212.26014 Math. Slovaca 59, No. 6, 731-752 (2009). MSC: 26A39 PDF BibTeX XML Cite \textit{Š. Schwabik}, Math. Slovaca 59, No. 6, 731--752 (2009; Zbl 1212.26014) Full Text: DOI
Guoju, Ye On the Henstock-Kurzweil-Dunford and Kurzweil-Henstock-Pettis integrals. (English) Zbl 1214.28009 Rocky Mt. J. Math. 39, No. 4, 1233-1244 (2009). MSC: 28B05 26A39 46G10 PDF BibTeX XML Cite \textit{Y. Guoju}, Rocky Mt. J. Math. 39, No. 4, 1233--1244 (2009; Zbl 1214.28009) Full Text: DOI
Skvortsov, Valentin; Tulone, Francesco Kurzweil-Henstock type integral on zero-dimensional group and some of its applications. (English) Zbl 1174.26007 Czech. Math. J. 58, No. 4, 1167-1183 (2008). MSC: 26A39 42C10 43A25 PDF BibTeX XML Cite \textit{V. Skvortsov} and \textit{F. Tulone}, Czech. Math. J. 58, No. 4, 1167--1183 (2008; Zbl 1174.26007) Full Text: DOI EuDML Link
Marraffa, V. Strongly measurable Kurzweil-Henstock type integrable functions and series. (English) Zbl 1177.28030 Quaest. Math. 31, No. 4, 379-386 (2008). Reviewer: Jun Kawabe (Nagano) MSC: 28B05 46G10 PDF BibTeX XML Cite \textit{V. Marraffa}, Quaest. Math. 31, No. 4, 379--386 (2008; Zbl 1177.28030) Full Text: DOI
Marraffa, Valeria A characterization of strongly measurable Kurzweil-Henstock integrable functions and weakly continuous operators. (English) Zbl 1141.46021 J. Math. Anal. Appl. 340, No. 2, 1171-1179 (2008). Reviewer: Vladimir Kadets (Granada) MSC: 46G10 26A39 PDF BibTeX XML Cite \textit{V. Marraffa}, J. Math. Anal. Appl. 340, No. 2, 1171--1179 (2008; Zbl 1141.46021) Full Text: DOI
Marraffa, V. Riemann type integrals for functions taking values in a locally convex space. (English) Zbl 1164.28304 Czech. Math. J. 56, No. 2, 475-489 (2006). MSC: 28B05 46G10 PDF BibTeX XML Cite \textit{V. Marraffa}, Czech. Math. J. 56, No. 2, 475--489 (2006; Zbl 1164.28304) Full Text: DOI EuDML Link
Boccuto, Antonio; Riečan, Beloslav The Kurzweil-Henstock integral for Riesz space-valued maps defined in abstracht topological spaces and convergence theorems. (English) Zbl 1155.28007 Panam. Math. J. 16, No. 4, 63-79 (2006). Reviewer: Jun Kawabe (Nagano) MSC: 28B15 28B05 28B10 46G10 PDF BibTeX XML Cite \textit{A. Boccuto} and \textit{B. Riečan}, Panam. Math. J. 16, No. 4, 63--79 (2006; Zbl 1155.28007)
Boccuto, A.; Skvortsov, V. A. Comparison of some Henstock-type integrals on the class of functions with values in the Riesz spaces. (Russian, English) Zbl 1150.28321 Vestn. Mosk. Univ., Ser. I 2006, No. 3, 13-18 (2006); translation in Mosc. Univ. Math. Bull. 61, No. 3, 12-17 (2006). Reviewer: V. I. Zhukovsky (Moskva) MSC: 28C05 28E99 PDF BibTeX XML Cite \textit{A. Boccuto} and \textit{V. A. Skvortsov}, Vestn. Mosk. Univ., Ser. I 2006, No. 3, 13--18 (2006; Zbl 1150.28321); translation in Mosc. Univ. Math. Bull. 61, No. 3, 12--17 (2006)
Marraffa, V. Non absolutely convergent integrals of functions taking values in a locally convex space. (English) Zbl 1156.28004 Rocky Mt. J. Math. 36, No. 5, 1577-1593 (2006). Reviewer: Jun Kawabe (Nagano) MSC: 28B05 26A42 46G10 PDF BibTeX XML Cite \textit{V. Marraffa}, Rocky Mt. J. Math. 36, No. 5, 1577--1593 (2006; Zbl 1156.28004) Full Text: DOI Euclid
Boccuto, A.; Riečan, Beloslav Improper Kurzweil-Henstock integral for metric semigroup-valued functions. (English) Zbl 1142.28307 Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia 54, No. 1-2, 75-95 (2006). Reviewer: Marcia Federson (São Paulo) MSC: 28B15 28B05 28B10 46G10 PDF BibTeX XML Cite \textit{A. Boccuto} and \textit{B. Riečan}, Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia 54, No. 1--2, 75--95 (2006; Zbl 1142.28307)
Skvortsov, Valentin A.; Sworowski, Piotr On McShane-type integrals with respect to some derivation bases. (English) Zbl 1112.26010 Math. Bohem. 131, No. 4, 365-378 (2006). MSC: 26A39 PDF BibTeX XML Cite \textit{V. A. Skvortsov} and \textit{P. Sworowski}, Math. Bohem. 131, No. 4, 365--378 (2006; Zbl 1112.26010) Full Text: EuDML Link
Sworowski, Piotr On Kubota-type integrals. (English) Zbl 1135.28005 Tatra Mt. Math. Publ. 34, No. 2, 237-241 (2006). Reviewer: Beloslav Riečan (Banská Bystrica) MSC: 28A25 PDF BibTeX XML Cite \textit{P. Sworowski}, Tatra Mt. Math. Publ. 34, No. 2, 237--241 (2006; Zbl 1135.28005)
Boccuto, Antonio; Riečan, Beloslav Convergence theorems for (SL)-integral in Riesz space-context. (English) Zbl 1135.28008 Tatra Mt. Math. Publ. 34, No. 2, 201-222 (2006). Reviewer: Miloslav Duchoň (Bratislava) MSC: 28B15 28B05 28B10 46G10 PDF BibTeX XML Cite \textit{A. Boccuto} and \textit{B. Riečan}, Tatra Mt. Math. Publ. 34, No. 2, 201--222 (2006; Zbl 1135.28008)
Di Piazza, L.; Musiał, K. Characterizations of Kurzweil-Henstock-Pettis integrable functions. (English) Zbl 1118.26008 Stud. Math. 176, No. 2, 159-176 (2006). Reviewer: Štefan Schwabik (Praha) MSC: 26A39 28B05 46G10 PDF BibTeX XML Cite \textit{L. Di Piazza} and \textit{K. Musiał}, Stud. Math. 176, No. 2, 159--176 (2006; Zbl 1118.26008) Full Text: DOI
Di Piazza, L.; Musiał, K. Set-valued Kurzweil-Henstock-Pettis integral. (English) Zbl 1100.28008 Set-Valued Anal. 13, No. 2, 167-179 (2005). Reviewer: Tuan Seng Chew (Singapore) MSC: 28B20 26A39 28B05 46G10 PDF BibTeX XML Cite \textit{L. Di Piazza} and \textit{K. Musiał}, Set-Valued Anal. 13, No. 2, 167--179 (2005; Zbl 1100.28008) Full Text: DOI
Li, Baolin; Xiao, Yanping; Zang, Zilong Bounded variation solutions of Cauchy system involving parameter. (Chinese. English summary) Zbl 1087.34501 J. Northwest Norm. Univ., Nat. Sci. 41, No. 4, 12-15 (2005). MSC: 34A12 34A34 PDF BibTeX XML Cite \textit{B. Li} et al., J. Northwest Norm. Univ., Nat. Sci. 41, No. 4, 12--15 (2005; Zbl 1087.34501)
Li, Baolin; Xiao, Yanping Continuous dependence of the solutions on initial condition and parameter for a nonautonomous differential equation. (Chinese. English summary) Zbl 1095.34504 J. Northwest Norm. Univ., Nat. Sci. 40, No. 4, 8-11 (2004). MSC: 34A12 26A39 PDF BibTeX XML Cite \textit{B. Li} and \textit{Y. Xiao}, J. Northwest Norm. Univ., Nat. Sci. 40, No. 4, 8--11 (2004; Zbl 1095.34504)
Lee, Tuo-Yeong A full characterization of multipliers for the strong \(\varrho \)-integral in the Euclidean space. (English) Zbl 1080.26007 Czech. Math. J. 54, No. 3, 657-674 (2004). MSC: 26A39 46E99 46G10 PDF BibTeX XML Cite \textit{T.-Y. Lee}, Czech. Math. J. 54, No. 3, 657--674 (2004; Zbl 1080.26007) Full Text: DOI EuDML
Craven, B. D. A step to Kurzweil-Henstock – an outline. (English) Zbl 1080.26004 Math. Bohem. 129, No. 3, 297-304 (2004). MSC: 26A39 PDF BibTeX XML Cite \textit{B. D. Craven}, Math. Bohem. 129, No. 3, 297--304 (2004; Zbl 1080.26004) Full Text: EuDML EMIS
Mawhin, Jean The eternal return of Riemann–Stieltjes sums in the evolution of the integral calculus. (Italian) Zbl 1079.26503 Rend. Ist. Mat. Univ. Trieste 36, No. 1-2, 113-137 (2004). MSC: 26-03 26A39 26A42 01A45 01A50 01A55 01A60 PDF BibTeX XML Cite \textit{J. Mawhin}, Rend. Ist. Mat. Univ. Trieste 36, No. 1--2, 113--137 (2004; Zbl 1079.26503)
Hai, Shexiang; Gong, Zengtai; Jiang, Jiashang The support function representations of fuzzy integral. (English) Zbl 1070.28007 Far East J. Appl. Math. 16, No. 3, 359-372 (2004). Reviewer: Beloslav Riečan (Banská Bystrica) MSC: 28E10 03E72 PDF BibTeX XML Cite \textit{S. Hai} et al., Far East J. Appl. Math. 16, No. 3, 359--372 (2004; Zbl 1070.28007)
Di Piazza, Luisa Kurzweil-Henstock type integration on Banach spaces. (English) Zbl 1083.28007 Real Anal. Exch. 29(2003-2004), No. 2, 543-556 (2004). Reviewer: Kazimierz Musiał(Wrocław) MSC: 28B05 26A39 46G10 PDF BibTeX XML Cite \textit{L. Di Piazza}, Real Anal. Exch. 29, No. 2, 543--556 (2004; Zbl 1083.28007) Full Text: DOI
Skvortsov, Valentin \({\mathcal P}\)-adic Henstock integral in inversion formula for multiplicative transform. (English) Zbl 1103.44002 Real Anal. Exch. Suppl., 27th Summer Symp. Conf. Rep., 93-97 (2003). MSC: 44A15 42A38 PDF BibTeX XML Cite \textit{V. Skvortsov}, Real Anal. Exch., 93--97 (2003; Zbl 1103.44002)
Boccuto, A.; Riečan, B. A note on a Pettis-Kurzweil-Henstock type integral in Riesz spaces. (English) Zbl 1067.28008 Real Anal. Exch. 28(2002-2003), No. 1, 153-161 (2003). Reviewer: Tuan Seng Chew (Singapore) MSC: 28B05 26A39 28B10 28B15 46G10 PDF BibTeX XML Cite \textit{A. Boccuto} and \textit{B. Riečan}, Real Anal. Exch. 28, No. 1, 153--161 (2003; Zbl 1067.28008) Full Text: DOI Euclid
Lu, Jitan; Lee, Peng-Yee A dominated convergence theorem in the K-H integral. (English) Zbl 1042.26004 Taiwanese J. Math. 7, No. 3, 507-512 (2003). Reviewer: Tuan Seng Chew (Singapore) MSC: 26A39 PDF BibTeX XML Cite \textit{J. Lu} and \textit{P.-Y. Lee}, Taiwanese J. Math. 7, No. 3, 507--512 (2003; Zbl 1042.26004) Full Text: DOI
Spataru Burcă, Genoveva A note on the Kurzweil-Henstock’s integral in \(\mathbb R\) and \(\mathbb R^n\). (English) Zbl 1125.26302 Stud. Cercet. Ştiinţ., Ser. Mat., Univ. Bacău 12, 221-226 (2002). MSC: 26A39 PDF BibTeX XML Cite \textit{G. Spataru Burcă}, Stud. Cercet. Științ., Ser. Mat., Univ. Bacău 12, 221--226 (2002; Zbl 1125.26302)
Cabral, Emmanuel; Lee, Peng-Yee The primitive of a Kurzweil-Henstock integrable function in multidimensional space. (English) Zbl 1069.26013 Real Anal. Exch. 27(2001-2002), No. 2, 627-634 (2002). Reviewer: Štefan Schwabik (Praha) MSC: 26B99 26A39 PDF BibTeX XML Cite \textit{E. Cabral} and \textit{P.-Y. Lee}, Real Anal. Exch. 27, No. 2, 627--634 (2002; Zbl 1069.26013) Full Text: DOI
Chew, Tuan-Seng; Tay, Jing-Yi; Toh, Tin-Lam The non-uniform Riemann approach to Itô’s integral. (English) Zbl 1067.60025 Real Anal. Exch. 27(2001-2002), No. 2, 495-514 (2002). Reviewer: Jean Mawhin (Louvain-La-Neuve) MSC: 60H05 26A39 PDF BibTeX XML Cite \textit{T.-S. Chew} et al., Real Anal. Exch. 27, No. 2, 495--514 (2002; Zbl 1067.60025) Full Text: DOI
Federson, M.; Bianconi, R.; Barbanti, L. Linear Volterra integral equations. (English) Zbl 1038.45002 Acta Math. Appl. Sin., Engl. Ser. 18, No. 4, 553-560 (2002). Reviewer: Mira-Cristiana Anisiu (Cluj-Napoca) MSC: 45D05 26A39 28B05 PDF BibTeX XML Cite \textit{M. Federson} et al., Acta Math. Appl. Sin., Engl. Ser. 18, No. 4, 553--560 (2002; Zbl 1038.45002) Full Text: DOI
Li, Baolin The compactness of a new function space. (Chinese. English summary) Zbl 1028.46042 J. Northwest Norm. Univ., Nat. Sci. 38, No. 3, 11-14, 45 (2002). MSC: 46E30 34C99 37B99 26A39 PDF BibTeX XML Cite \textit{B. Li}, J. Northwest Norm. Univ., Nat. Sci. 38, No. 3, 11--14, 45 (2002; Zbl 1028.46042)
Di Piazza, L.; Marraffa, V. An equivalent definition of the vector-valued McShane integral by means of partitions of unity. (English) Zbl 1005.28009 Stud. Math. 151, No. 2, 175-185 (2002). Reviewer: Tuan Seng Chew (Singapore) MSC: 28B05 46G10 PDF BibTeX XML Cite \textit{L. Di Piazza} and \textit{V. Marraffa}, Stud. Math. 151, No. 2, 175--185 (2002; Zbl 1005.28009) Full Text: DOI
Federson, M.; Bianconi, R. Linear Volterra-Stieltjes integral equations in the sense of the Kurzweil-Henstock integral. (English) Zbl 1090.45001 Arch. Math., Brno 37, No. 4, 307-328 (2001). MSC: 45A05 26A39 PDF BibTeX XML Cite \textit{M. Federson} and \textit{R. Bianconi}, Arch. Math., Brno 37, No. 4, 307--328 (2001; Zbl 1090.45001) Full Text: EuDML EMIS
Cabral, Emmanuel; Lee, Peng-Yee A fundamental theorem of calculus for the Kurzweil-Henstock integral in \(\mathbb{R}^m\). (English) Zbl 1024.26005 Real Anal. Exch. 26(2000-2001), No. 2, 867-876 (2001). Reviewer: Erik O.Talvila (Edmonton) MSC: 26B15 26A39 PDF BibTeX XML Cite \textit{E. Cabral} and \textit{P.-Y. Lee}, Real Anal. Exch. 26, No. 2, 867--876 (2001; Zbl 1024.26005)
Ene, Vasile Thomson’s variational measure and nonabsolutely convergent integrals. (English) Zbl 1010.26008 Real Anal. Exch. 26(2000-2001), No. 1, 35-49 (2001). MSC: 26A39 26A45 26A46 PDF BibTeX XML Cite \textit{V. Ene}, Real Anal. Exch. 26, No. 1, 35--49 (2001; Zbl 1010.26008)
Mawhin, Jean The eternal return of Riemann-Stieltjes sums in the evolution of the integral calculus. (L’éternel retour des sommes de Riemann-Stieltjes dans l’évolution du calcul intégral.) (French) Zbl 1019.26001 Bull. Soc. R. Sci. Liège 70, No. 4-6, 345-364 (2001). Reviewer: Peter S.Bullen (Vancouver) MSC: 26-03 26A39 26A42 01A50 01A55 01A60 01A45 PDF BibTeX XML Cite \textit{J. Mawhin}, Bull. Soc. R. Sci. Liège 70, No. 4--6, 345--364 (2001; Zbl 1019.26001)
Bartle, Robert G. A modern theory of integration. (English) Zbl 0968.26001 Graduate Studies in Mathematics 32. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-0845-1). xiv, 458 p. (2001). Reviewer: Charles Swartz (Las Cruces) MSC: 26-01 26A39 28A25 PDF BibTeX XML Cite \textit{R. G. Bartle}, A modern theory of integration. Providence, RI: American Mathematical Society (AMS) (2001; Zbl 0968.26001)
Swartz, Charles Introduction to gauge integrals. (English) Zbl 0982.26006 Singapore: World Scientific. x, 157 p. (2001). Reviewer: J.Mawhin (Louvain-La-Neuve) MSC: 26A39 26-01 PDF BibTeX XML Cite \textit{C. Swartz}, Introduction to gauge integrals. Singapore: World Scientific (2001; Zbl 0982.26006)
Lee, Peng Yee; Výborný, Rudolf The integral: An easy approach after Kurzweil and Henstock. (English) Zbl 0941.26003 Australian Mathematical Society Lecture Series. 14. Cambridge: Cambridge University Press. xii, 311 p. (2000). Reviewer: C.Swartz (Las Cruces) MSC: 26A39 26-01 PDF BibTeX XML Cite \textit{P. Y. Lee} and \textit{R. Výborný}, The integral: An easy approach after Kurzweil and Henstock. Cambridge: Cambridge University Press (2000; Zbl 0941.26003)
Bianconi, Ricardo; Prandini, João C.; Possani, Cláudio A Daniell integral approach to nonstandard Kurzweil-Henstock integral. (English) Zbl 1008.26021 Czech. Math. J. 49, No. 4, 817-823 (1999). Reviewer: Štefan Schwabik (Praha) MSC: 26E35 26A39 03H05 PDF BibTeX XML Cite \textit{R. Bianconi} et al., Czech. Math. J. 49, No. 4, 817--823 (1999; Zbl 1008.26021) Full Text: DOI EuDML
Ene, Vasile On an improvement of the Hake theorem. (English) Zbl 0967.26007 Real Anal. Exch. 24(1998-99), No. 2, 867-872 (1999). Reviewer: Štefan Schwabik (Praha) MSC: 26A39 PDF BibTeX XML Cite \textit{V. Ene}, Real Anal. Exch. 24, No. 2, 867--872 (1999; Zbl 0967.26007)
Skvortsov, Valentin A.; Solodov, Alexei P. A variational integral for Banach-valued functions. (English) Zbl 0967.28007 Real Anal. Exch. 24(1998-99), No. 2, 799-805 (1999). Reviewer: Štefan Schwabik (Praha) MSC: 28B05 26A39 PDF BibTeX XML Cite \textit{V. A. Skvortsov} and \textit{A. P. Solodov}, Real Anal. Exch. 24, No. 2, 799--805 (1999; Zbl 0967.28007)
Garces, Ian June L.; Lee, Peng-Yee; Zhao, Dongsheng On the \(H_1\)-integral. (English) Zbl 0937.26515 Real Anal. Exch. 24(1998-99), No. 1, 93-94 (1999). MSC: 26A39 26A42 PDF BibTeX XML Cite \textit{I. J. L. Garces} et al., Real Anal. Exch. 24, No. 1, 93--94 (1999; Zbl 0937.26515)
Lu, Jitan; Lee, Peng-Yee Integration on Riemannian manifolds. (English) Zbl 0951.58012 Math. Jap. 49, No. 3, 373-383 (1999). Reviewer: C.Bär (Freiburg) MSC: 58C35 26B15 26A39 PDF BibTeX XML Cite \textit{J. Lu} and \textit{P.-Y. Lee}, Math. Japon. 49, No. 3, 373--383 (1999; Zbl 0951.58012)
Riečan, Beloslav; Vrábelová, Marta The Kurzweil construction of an integral in ordered spaces. (English) Zbl 0953.28007 Czech. Math. J. 48, No. 3, 565-574 (1998). Reviewer: Š.Schwabik (Praha) MSC: 28B15 26A39 PDF BibTeX XML Cite \textit{B. Riečan} and \textit{M. Vrábelová}, Czech. Math. J. 48, No. 3, 565--574 (1998; Zbl 0953.28007) Full Text: DOI EuDML
Freiling, Chris On the problem of characterizing derivatives. (English) Zbl 0943.26014 Real Anal. Exch. 23(1997-98), No. 2, 805-812 (1998). Reviewer: J.Veselý (Praha) MSC: 26A24 26A39 26A36 PDF BibTeX XML Cite \textit{C. Freiling}, Real Anal. Exch. 23, No. 2, 805--812 (1998; Zbl 0943.26014)
Bianconi, Ricardo On the convergence of the integrals of a truncated Henstock-Kurzweil integrable function. (English) Zbl 0944.26013 Real Anal. Exch. 23(1997-98), No. 1, 247-250 (1998). Reviewer: Š.Schwabik (Praha) MSC: 26A39 PDF BibTeX XML Cite \textit{R. Bianconi}, Real Anal. Exch. 23, No. 1, 247--250 (1998; Zbl 0944.26013)
Faure, Claude-Alain A descriptive definition of the KH-Stieltjes integral. (English) Zbl 0944.26014 Real Anal. Exch. 23(1997-98), No. 1, 113-124 (1998). Reviewer: Š.Schwabik (Praha) MSC: 26A39 26A45 26A42 PDF BibTeX XML Cite \textit{C.-A. Faure}, Real Anal. Exch. 23, No. 1, 113--124 (1998; Zbl 0944.26014)
Bartle, Robert G. The concept of ‘negligible variation’. (English) Zbl 0944.26015 Real Anal. Exch. 23(1997-98), No. 1, 47-48 (1998). Reviewer: J.Veselý (Praha) MSC: 26A39 26A42 26A45 PDF BibTeX XML Cite \textit{R. G. Bartle}, Real Anal. Exch. 23, No. 1, 47--48 (1998; Zbl 0944.26015)
Buczolich, Zoltán Generalized integrals and related topics. (English) Zbl 0944.26012 Real Anal. Exch. 23(1997-98), No. 1, 27-36 (1998). Reviewer: Š.Schwabik (Praha) MSC: 26A39 PDF BibTeX XML Cite \textit{Z. Buczolich}, Real Anal. Exch. 23, No. 1, 27--36 (1998; Zbl 0944.26012)
Tvrdý, Milan Linear integral equations in the space of regulated functions. (English) Zbl 0941.45001 Math. Bohem. 123, No. 2, 177-212 (1998). MSC: 45B05 45D05 PDF BibTeX XML Cite \textit{M. Tvrdý}, Math. Bohem. 123, No. 2, 177--212 (1998; Zbl 0941.45001) Full Text: EuDML
Macdonald, Alan The fundamental theorem of geometric calculus via a generalized Riemann integral. (English) Zbl 0947.26011 Adv. Appl. Clifford Algebr. 8, No. 1, 5-16 (1998). Reviewer: J.Mawhin (Louvain-La-Neuve) MSC: 26B20 26A39 PDF BibTeX XML Cite \textit{A. Macdonald}, Adv. Appl. Clifford Algebr. 8, No. 1, 5--16 (1998; Zbl 0947.26011) Full Text: DOI arXiv
Skvortsov, V. A. Variations and variational measures in integration theory and some applications. (English) Zbl 0959.26006 J. Math. Sci., New York 91, No. 5, 3293-3322 (1998). MSC: 26A39 26A45 PDF BibTeX XML Cite \textit{V. A. Skvortsov}, J. Math. Sci., New York 91, No. 5, 3293--3322 (1998; Zbl 0959.26006) Full Text: DOI
Sarkhel, D. N. A unified scale of absolute and non-absolute integrals. (English) Zbl 0940.26012 Real Anal. Exch. 22(1996-97), No. 2, 534-573 (1997). Reviewer: Jan Malý (Praha) MSC: 26B15 26A39 PDF BibTeX XML Cite \textit{D. N. Sarkhel}, Real Anal. Exch. 22, No. 2, 534--573 (1997; Zbl 0940.26012)
Xu, Dongfu The LSRS property and the convergence theorem of Henstock-Kurzweil integral. (English) Zbl 0929.26006 Acta Math. Sci. (Engl. Ed.) 17, No. 4, 443-448 (1997). MSC: 26A39 26A42 PDF BibTeX XML Cite \textit{D. Xu}, Acta Math. Sci. (Engl. Ed.) 17, No. 4, 443--448 (1997; Zbl 0929.26006)
Gordon, R. A. Is nonabsolute integration worth doing? (English) Zbl 0888.26007 Real Anal. Exch. 22(1996-97), No. 1, 23-33 (1997). Reviewer: Š.Schwabik (Praha) MSC: 26A39 PDF BibTeX XML Cite \textit{R. A. Gordon}, Real Anal. Exch. 22, No. 1, 23--33 (1997; Zbl 0888.26007)
Lee, Tuo-Yeong; Chew, Tuan-Seng; Lee, Peng-Yee On Henstock integrability in Euclidean spaces. (English) Zbl 0879.26045 Real Anal. Exch. 22(1996-97), No. 1, 382-389 (1997). Reviewer: Š.Schwabik (Praha) MSC: 26B99 26A39 PDF BibTeX XML Cite \textit{T.-Y. Lee} et al., Real Anal. Exch. 22, No. 1, 382--389 (1997; Zbl 0879.26045)
Faure, Claude-Alain; Mawhin, Jean Integration over unbounded multidimensional intervals. (English) Zbl 0879.26047 J. Math. Anal. Appl. 205, No. 1, 65-77 (1997). Reviewer: F.Móricz (Szeged) MSC: 26B99 26A39 28A25 PDF BibTeX XML Cite \textit{C.-A. Faure} and \textit{J. Mawhin}, J. Math. Anal. Appl. 205, No. 1, 65--77 (1997; Zbl 0879.26047) Full Text: DOI
Chatterji, S. D. Remarks on the generalized Riemann integral. (Remarques sur l’intégrale de Riemann généralisée.) (French) Zbl 0859.26003 Azéma, J. (ed.) et al., Séminaire de probabilités XXX. Berlin: Springer. Lect. Notes Math. 1626, 1-11 (1996). Reviewer: P.-Y.Lee (Singapore) MSC: 26A39 28C20 60H05 PDF BibTeX XML Cite \textit{S. D. Chatterji}, Lect. Notes Math. 1626, 1--11 (1996; Zbl 0859.26003) Full Text: Numdam EuDML