Sikorska-Nowak, Aneta Integrodifferential equations of mixed type on time scales with \(\Delta\)-HK and \(\Delta\)-HKP integrals. (English) Zbl 1514.45006 Electron. J. Differ. Equ. 2023, Paper No. 29, 20 p. (2023). MSC: 45J05 47N20 47H08 26E70 PDF BibTeX XML Cite \textit{A. Sikorska-Nowak}, Electron. J. Differ. Equ. 2023, Paper No. 29, 20 p. (2023; Zbl 1514.45006) Full Text: Link
Kainth, Surinder Pal Singh; Singh, Narinder Henstock-Kurzweil integration on metric spaces revisited. (English) Zbl 07685110 Real Anal. Exch. 47, No. 2, 377-396 (2022). MSC: 26-XX 54E45 26A39 54E50 26A42 PDF BibTeX XML Cite \textit{S. P. S. Kainth} and \textit{N. Singh}, Real Anal. Exch. 47, No. 2, 377--396 (2022; Zbl 07685110) Full Text: DOI Link
Mahanta, S.; Ray, S. On the generalisation of Henstock-Kurzweil Fourier transform. (English) Zbl 07672353 J. Class. Anal. 20, No. 2, 117-130 (2022). MSC: 42A38 26A39 PDF BibTeX XML Cite \textit{S. Mahanta} and \textit{S. Ray}, J. Class. Anal. 20, No. 2, 117--130 (2022; Zbl 07672353) Full Text: DOI arXiv
Pérez-Becerra, Tomás; Escamilla-Reyna, Juan Alberto; Luciano-Gerardo, Roque Vidal; Mendoza-Torres, Francisco J.; Rodríguez-Tzompantzi, Daniela The Jordan decomposition in ordered normed spaces. (English) Zbl 1506.46024 Mediterr. J. Math. 19, No. 5, Paper No. 215, 13 p. (2022). MSC: 46B40 46E40 26A45 06A06 PDF BibTeX XML Cite \textit{T. Pérez-Becerra} et al., Mediterr. J. Math. 19, No. 5, Paper No. 215, 13 p. (2022; Zbl 1506.46024) Full Text: DOI
Musial, P.; Skvortsov, V. A.; Tulone, F. On descriptive characterizations of an integral recovering a function from its \(L^r\)-derivative. (English. Russian original) Zbl 1497.26007 Math. Notes 111, No. 3, 414-422 (2022); translation from Mat. Zametki 111, No. 3, 411-421 (2022). MSC: 26A39 28A12 PDF BibTeX XML Cite \textit{P. Musial} et al., Math. Notes 111, No. 3, 414--422 (2022; Zbl 1497.26007); translation from Mat. Zametki 111, No. 3, 411--421 (2022) Full Text: DOI
Boonpogkrong, Varayu Compact operators and integral equations in the \(\mathcal{HK}\) space. (English) Zbl 07511564 Czech. Math. J. 72, No. 1, 239-257 (2022). MSC: 26A39 26A42 PDF BibTeX XML Cite \textit{V. Boonpogkrong}, Czech. Math. J. 72, No. 1, 239--257 (2022; Zbl 07511564) Full Text: DOI
Musial, Paul; Skvortsov, Valentin; Tulone, Francesco The \(HK_r\)-integral is not contained in the \(P_r\)-integral. (English) Zbl 1493.26017 Proc. Am. Math. Soc. 150, No. 5, 2107-2114 (2022). Reviewer: Antonín Slavík (Praha) MSC: 26A39 PDF BibTeX XML Cite \textit{P. Musial} et al., Proc. Am. Math. Soc. 150, No. 5, 2107--2114 (2022; Zbl 1493.26017) Full Text: DOI
Singh, Narinder; Kainth, Surinder Pal Singh Variational measure with respect to measurable gauges. (English) Zbl 1487.26015 Real Anal. Exch. 46, No. 1, 247-260 (2021). Reviewer: Antonín Slavík (Praha) MSC: 26A39 26A45 PDF BibTeX XML Cite \textit{N. Singh} and \textit{S. P. S. Kainth}, Real Anal. Exch. 46, No. 1, 247--260 (2021; Zbl 1487.26015) Full Text: DOI Link
Ng, Wee Leng Banach-Steinhaus theorem for the space \(\mathcal{P}\) of all primitives of Henstock-Kurzweil integrable functions. (English) Zbl 1486.46029 N. Z. J. Math. 51, 79-83 (2021). Reviewer: José Mendoza (Madrid) MSC: 46B99 26A39 46A22 PDF BibTeX XML Cite \textit{W. L. Ng}, N. Z. J. Math. 51, 79--83 (2021; Zbl 1486.46029) Full Text: DOI
Kopylov, S. N. Influence of the choice of the class of gauge functions on the properties of the Henstock-Kurzweil integral. (English. Russian original) Zbl 1476.26006 Mosc. Univ. Math. Bull. 76, No. 2, 65-68 (2021); translation from Vestn. Mosk. Univ., Ser. I 76, No. 2, 32-35 (2021). MSC: 26A39 PDF BibTeX XML Cite \textit{S. N. Kopylov}, Mosc. Univ. Math. Bull. 76, No. 2, 65--68 (2021; Zbl 1476.26006); translation from Vestn. Mosk. Univ., Ser. I 76, No. 2, 32--35 (2021) Full Text: DOI
Maldeniya, Amila J.; Ganegoda, Naleen C.; De Silva, Kaushika; Boralugoda, Sanath K. Solving Poisson equation by distributional HK-integral: prospects and limitations. (English) Zbl 1486.35152 Int. J. Math. Math. Sci. 2021, Article ID 5511283, 9 p. (2021). MSC: 35J05 26B15 PDF BibTeX XML Cite \textit{A. J. Maldeniya} et al., Int. J. Math. Math. Sci. 2021, Article ID 5511283, 9 p. (2021; Zbl 1486.35152) Full Text: DOI
Seba, Djamila; Habani, Sadek; Benaissa, Abbes; Rebai, Hamza The Henstock-Kurzweil-Pettis integral and multiorders fractional differential equations with impulses and multipoint fractional integral boundary conditions in Banach spaces. (English) Zbl 1482.34182 Math. Methods Appl. Sci. 44, No. 10, 8345-8362 (2021). MSC: 34K30 34K37 34K45 26A39 47N20 34K10 PDF BibTeX XML Cite \textit{D. Seba} et al., Math. Methods Appl. Sci. 44, No. 10, 8345--8362 (2021; Zbl 1482.34182) Full Text: DOI
Gallegos, Claudio A.; Grau, Rogelio; Mesquita, Jaqueline G. Stability, asymptotic and exponential stability for various types of equations with discontinuous solutions via Lyapunov functionals. (English) Zbl 1472.34007 J. Differ. Equations 299, 256-283 (2021). MSC: 34A06 34D20 26A39 34N05 PDF BibTeX XML Cite \textit{C. A. Gallegos} et al., J. Differ. Equations 299, 256--283 (2021; Zbl 1472.34007) Full Text: DOI
Skvortsov, V. A. Reconstruction of a generalized Fourier series from its sum on a compact zero-dimensional group in the non-abelian case. (English. Russian original) Zbl 1478.43006 Math. Notes 109, No. 4, 630-637 (2021); translation from Mat. Zametki 109, No. 4, 616-624 (2021). MSC: 43A65 PDF BibTeX XML Cite \textit{V. A. Skvortsov}, Math. Notes 109, No. 4, 630--637 (2021; Zbl 1478.43006); translation from Mat. Zametki 109, No. 4, 616--624 (2021) Full Text: DOI
Guo, Yating; Ye, Guoju; Liu, Wei; Zhao, Dafang On the characterization of compactness in the space of Henstock-Kurzweil integrable functions. (English) Zbl 1474.26032 J. Math., Wuhan Univ. 41, No. 1, 12-24 (2021). MSC: 26A39 46F10 46G12 PDF BibTeX XML Cite \textit{Y. Guo} et al., J. Math., Wuhan Univ. 41, No. 1, 12--24 (2021; Zbl 1474.26032) Full Text: DOI
Alvarez, Edgardo; Grau, Rogelio; Lizama, Carlos; Mesquita, Jaqueline Volterra-Stieltjes integral equations and impulsive Volterra-Stieltjes integral equations. (English) Zbl 1488.45006 Electron. J. Qual. Theory Differ. Equ. 2021, Paper No. 5, 20 p. (2021). MSC: 45D05 26A42 PDF BibTeX XML Cite \textit{E. Alvarez} et al., Electron. J. Qual. Theory Differ. Equ. 2021, Paper No. 5, 20 p. (2021; Zbl 1488.45006) Full Text: DOI
Kawasaki, Toshiharu An extension of integrals. (English) Zbl 1476.26005 Shahid, Mohammad Hasan (ed.) et al., Differential geometry, algebra, and analysis. Selected papers based on the presentations at the international conference, ICDGAA 2016, New Delhi, India, November 15–17, 2016. Singapore: Springer. Springer Proc. Math. Stat. 327, 207-216 (2020). MSC: 26A39 PDF BibTeX XML Cite \textit{T. Kawasaki}, Springer Proc. Math. Stat. 327, 207--216 (2020; Zbl 1476.26005) Full Text: DOI
Torres-Teutle, Edgar; Mendoza-Torres, Francisco J. Hake’s theorem for functions of several variables. (Spanish. English summary) Zbl 1471.26004 Lect. Mat. 41, No. 1, 41-57 (2020). Reviewer: Radu Păltănea (Braşov) MSC: 26B15 26A39 26A42 PDF BibTeX XML Cite \textit{E. Torres-Teutle} and \textit{F. J. Mendoza-Torres}, Lect. Mat. 41, No. 1, 41--57 (2020; Zbl 1471.26004) Full Text: Link
Rahman, Ghaus ur; Mostefai, Fatima-Zohra Existence theory and topological aspects of the solution set of integrodifferential equations. (English) Zbl 1454.34019 Int. J. Difference Equ. 15, No. 2, 511-530 (2020). MSC: 34A08 PDF BibTeX XML Cite \textit{G. u. Rahman} and \textit{F.-Z. Mostefai}, Int. J. Difference Equ. 15, No. 2, 511--530 (2020; Zbl 1454.34019) Full Text: Link
Racca, Abraham Perral; Cabral, Emmanuel A. The \(N\)-integral. (English) Zbl 1451.26012 J. Indones. Math. Soc. 26, No. 2, 242-257 (2020). MSC: 26A39 26A42 PDF BibTeX XML Cite \textit{A. P. Racca} and \textit{E. A. Cabral}, J. Indones. Math. Soc. 26, No. 2, 242--257 (2020; Zbl 1451.26012) Full Text: DOI
Pérez-Becerra, Tomás; Sánchez-Perales, Salvador; Escamilla-Reyna, Juan A. Henstock-Kurzweil vector distributions. (English) Zbl 1454.58005 Mediterr. J. Math. 17, No. 6, Paper No. 195, 18 p. (2020). Reviewer: Marian Ioan Munteanu (Iaşi) MSC: 58A30 26A39 46B04 PDF BibTeX XML Cite \textit{T. Pérez-Becerra} et al., Mediterr. J. Math. 17, No. 6, Paper No. 195, 18 p. (2020; Zbl 1454.58005) Full Text: DOI
Li, Baolin; Dang, Wenqin Uniqueness of bounded variation solutions for retarded functional differential equations. (Chinese. English summary) Zbl 1463.34260 J. Northwest Norm. Univ., Nat. Sci. 56, No. 2, 1-4 (2020). MSC: 34K05 26A39 PDF BibTeX XML Cite \textit{B. Li} and \textit{W. Dang}, J. Northwest Norm. Univ., Nat. Sci. 56, No. 2, 1--4 (2020; Zbl 1463.34260) Full Text: DOI
Kaliaj, Sokol Bush Dunford-Henstock-Kurzweil and Dunford-McShane integrals of vector-valued functions defined on \(m\)-dimensional bounded sets. (English) Zbl 1448.28013 Mediterr. J. Math. 17, No. 5, Paper No. 136, 16 p. (2020). Reviewer: Daniele Puglisi (Catania) MSC: 28B05 46B25 46G10 PDF BibTeX XML Cite \textit{S. B. Kaliaj}, Mediterr. J. Math. 17, No. 5, Paper No. 136, 16 p. (2020; Zbl 1448.28013) Full Text: DOI arXiv
Talvila, Erik The continuous primitive integral in the plane. (English) Zbl 1451.26013 Real Anal. Exch. 45, No. 2, 283-326 (2020). Reviewer: Antonín Slavík (Praha) MSC: 26A39 26B15 46F10 PDF BibTeX XML Cite \textit{E. Talvila}, Real Anal. Exch. 45, No. 2, 283--326 (2020; Zbl 1451.26013) Full Text: arXiv Euclid
Julia, Antoine A Henstock-Kurzweil type integral on one-dimensional integral currents. (English. French summary) Zbl 1445.49023 Bull. Soc. Math. Fr. 148, No. 2, 283-319 (2020). MSC: 49Q15 28A25 28A75 PDF BibTeX XML Cite \textit{A. Julia}, Bull. Soc. Math. Fr. 148, No. 2, 283--319 (2020; Zbl 1445.49023) Full Text: DOI arXiv
Morales, María Guadalupe; Došlá, Zuzana; Mendoza, Francisco J. Riemann-Liouville derivative over the space of integrable distributions. (English) Zbl 1516.26004 Electron Res. Arch. 28, No. 2, 567-587 (2020). MSC: 26A39 26A33 26A42 42A38 PDF BibTeX XML Cite \textit{M. G. Morales} et al., Electron Res. Arch. 28, No. 2, 567--587 (2020; Zbl 1516.26004) Full Text: DOI arXiv
Sánchez-Perales, Salvador; Mendoza-Torres, Francisco J. Boundary value problems for the Schrödinger equation involving the Henstock-Kurzweil integral. (English) Zbl 07217149 Czech. Math. J. 70, No. 2, 519-537 (2020). MSC: 34B24 26A39 26A45 PDF BibTeX XML Cite \textit{S. Sánchez-Perales} and \textit{F. J. Mendoza-Torres}, Czech. Math. J. 70, No. 2, 519--537 (2020; Zbl 07217149) Full Text: DOI
Gou, Haide; Li, Yongxiang Weak solutions for fractional differential equations via Henstock-Kurzweil-Pettis integrals. (English) Zbl 07201328 Int. J. Nonlinear Sci. Numer. Simul. 21, No. 2, 135-145 (2020). MSC: 26-XX 34-XX PDF BibTeX XML Cite \textit{H. Gou} and \textit{Y. Li}, Int. J. Nonlinear Sci. Numer. Simul. 21, No. 2, 135--145 (2020; Zbl 07201328) Full Text: DOI
Flores-Medina, Oswaldo; Arredondo, Juan H.; Escamilla-Reyna, Juan A.; Mendoza-Torres, Francisco J. On the factorization theorem for the tensor product of integrable distributions. (English) Zbl 1447.46042 Ann. Funct. Anal. 11, No. 1, 118-136 (2020). MSC: 46J10 26A39 46M05 43A32 42A85 PDF BibTeX XML Cite \textit{O. Flores-Medina} et al., Ann. Funct. Anal. 11, No. 1, 118--136 (2020; Zbl 1447.46042) Full Text: DOI
Malý, Jan; Kuncová, Kristýna On a generalization of Henstock-Kurzweil integrals. (English) Zbl 1474.26033 Math. Bohem. 144, No. 4, 393-422 (2019). Reviewer: Antonín Slavík (Praha) MSC: 26A39 PDF BibTeX XML Cite \textit{J. Malý} and \textit{K. Kuncová}, Math. Bohem. 144, No. 4, 393--422 (2019; Zbl 1474.26033) Full Text: DOI
Bhatnagar, Savita The Radon Nikodym property and multipliers of \(\mathcal{HK}\)-integrable functions. (English) Zbl 1451.28010 Real Anal. Exch. 44, No. 2, 391-402 (2019). Reviewer: Bianca-Renata Satco (Suceava) MSC: 28B05 26A39 PDF BibTeX XML Cite \textit{S. Bhatnagar}, Real Anal. Exch. 44, No. 2, 391--402 (2019; Zbl 1451.28010) Full Text: DOI Euclid
Ye, Guoju; Zhang, Mingxia; Liu, Wei; Zhao, Dafang Existence and uniqueness of solutions to distributional differential equations involving Henstock-Kurzweil-Stieltjes integrals. (English) Zbl 1432.34005 Rev. Unión Mat. Argent. 60, No. 2, 443-458 (2019). MSC: 34A06 34B15 26A42 47N20 PDF BibTeX XML Cite \textit{G. Ye} et al., Rev. Unión Mat. Argent. 60, No. 2, 443--458 (2019; Zbl 1432.34005)
Volčič, Aljoša A Riemann-type theorem for a Riemann-type integral. (English) Zbl 1429.26011 Ric. Mat. 68, No. 2, 333-339 (2019). MSC: 26A39 40A10 PDF BibTeX XML Cite \textit{A. Volčič}, Ric. Mat. 68, No. 2, 333--339 (2019; Zbl 1429.26011) Full Text: DOI
You, Jiaying; Ye, Guoju; Liu, Wei; Zhao, Dafang Existence of two positive solutions for the second order differential equation involving the Henstock-Kurzweil-Stieltjes integral boundary condition. (Chinese. English summary) Zbl 1438.34105 J. Sichuan Norm. Univ., Nat. Sci. 42, No. 2, 209-215 (2019). MSC: 34B18 26A39 47N20 34B10 PDF BibTeX XML Cite \textit{J. You} et al., J. Sichuan Norm. Univ., Nat. Sci. 42, No. 2, 209--215 (2019; Zbl 1438.34105) Full Text: DOI
Zhang, Mingxia; Ye, Guoju; Liu, Wei; Zhao, Dafang On second order Neumann boundary problems involving the distributional Henstock-Kurzweil integral. (Chinese. English summary) Zbl 1438.34010 J. Hubei Univ., Nat. Sci. 41, No. 2, 192-197 (2019). MSC: 34A06 34B15 26A39 PDF BibTeX XML Cite \textit{M. Zhang} et al., J. Hubei Univ., Nat. Sci. 41, No. 2, 192--197 (2019; Zbl 1438.34010) Full Text: DOI
Tikare, Sanket Generalized first order dynamic equations on time scales with \(\Delta\)-Carathéodory functions. (English) Zbl 1427.34121 Differ. Equ. Appl. 11, No. 1, 167-182 (2019). MSC: 34N05 26A39 34A12 34A36 PDF BibTeX XML Cite \textit{S. Tikare}, Differ. Equ. Appl. 11, No. 1, 167--182 (2019; Zbl 1427.34121) Full Text: DOI
Gallegos, Claudio A.; Henríquez, Hernán R.; Mesquita, Jaqueline G. Growth of solutions for measure differential equations and dynamic equations on time scales. (English) Zbl 1428.34137 J. Math. Anal. Appl. 479, No. 1, 941-962 (2019). Reviewer: Antonín Slavík (Praha) MSC: 34N05 34C11 PDF BibTeX XML Cite \textit{C. A. Gallegos} et al., J. Math. Anal. Appl. 479, No. 1, 941--962 (2019; Zbl 1428.34137) Full Text: DOI
Boonpogkrong, Varayu A proof of Girsanov’s theorem: the Henstock-Kurzweil approach. (English) Zbl 1416.26025 Bull. Malays. Math. Sci. Soc. (2) 42, No. 2, 781-792 (2019). Reviewer: Andrey Zahariev (Plovdiv) MSC: 26B10 26B15 26B20 PDF BibTeX XML Cite \textit{V. Boonpogkrong}, Bull. Malays. Math. Sci. Soc. (2) 42, No. 2, 781--792 (2019; Zbl 1416.26025) Full Text: DOI
Musial, Paul; Tulone, Francesco Dual of the class of \(HK_r\) integrable functions. (English) Zbl 1409.26004 Minimax Theory Appl. 4, No. 1, 151-160 (2019). MSC: 26A39 PDF BibTeX XML Cite \textit{P. Musial} and \textit{F. Tulone}, Minimax Theory Appl. 4, No. 1, 151--160 (2019; Zbl 1409.26004) Full Text: Link
Lassonde, Marc Links between functions and subdifferentials. (English) Zbl 1417.49015 J. Math. Anal. Appl. 470, No. 2, 777-794 (2019). Reviewer: Leszek Gasiński (Kraków) MSC: 49J52 PDF BibTeX XML Cite \textit{M. Lassonde}, J. Math. Anal. Appl. 470, No. 2, 777--794 (2019; Zbl 1417.49015) Full Text: DOI arXiv
Ye, Guoju; Cheng, Rong; Liu, Wei; Mei, Hui On the Darboux problem involving the distributional Henstock-Kurzweil integral. (English) Zbl 1497.47077 Bound. Value Probl. 2018, Paper No. 177, 11 p. (2018). MSC: 47H08 47H10 26A39 PDF BibTeX XML Cite \textit{G. Ye} et al., Bound. Value Probl. 2018, Paper No. 177, 11 p. (2018; Zbl 1497.47077) Full Text: DOI
Liu, Wei; Ye, Guoju; Zhao, Dafang Multiple existence of solutions for a coupled system involving the distributional Henstock-Kurzweil integral. (English) Zbl 1463.34004 Carpathian J. Math. 34, No. 1, 77-84 (2018). MSC: 34A06 47H11 26A39 PDF BibTeX XML Cite \textit{W. Liu} et al., Carpathian J. Math. 34, No. 1, 77--84 (2018; Zbl 1463.34004)
Li, Baolin; Gou, Haide Weak solutions for fractional integrodifferential equations with multi-point boundary conditions in nonreflexive Banach spaces. (English) Zbl 1417.45005 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 25, No. 6, 373-396 (2018). MSC: 45J05 45N05 PDF BibTeX XML Cite \textit{B. Li} and \textit{H. Gou}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 25, No. 6, 373--396 (2018; Zbl 1417.45005) Full Text: Link
Leng, Ng Wee; Yee, Lee Peng An alternative definition of the Henstock-Kurzweil integral using primitives. (English) Zbl 1405.26008 N. Z. J. Math. 48, 121-128 (2018). MSC: 26A39 26A42 PDF BibTeX XML Cite \textit{N. W. Leng} and \textit{L. P. Yee}, N. Z. J. Math. 48, 121--128 (2018; Zbl 1405.26008) Full Text: Link
Bongiorno, Donatella Derivatives not first return integrable on a fractal set. (English) Zbl 1402.26006 Ric. Mat. 67, No. 2, 597-604 (2018). MSC: 26A39 26A42 28A80 PDF BibTeX XML Cite \textit{D. Bongiorno}, Ric. Mat. 67, No. 2, 597--604 (2018; Zbl 1402.26006) Full Text: DOI Link
Arredondo, Juan H.; Mendoza, Francisco J.; Reyes, Alfredo On the norm continuity of the HK-Fourier transform. (English) Zbl 1401.26019 Electron. Res. Announc. Math. Sci. 25, 36-47 (2018). MSC: 26A39 26A42 26A45 43A32 PDF BibTeX XML Cite \textit{J. H. Arredondo} et al., Electron. Res. Announc. Math. Sci. 25, 36--47 (2018; Zbl 1401.26019) Full Text: DOI
Gill, Tepper L. Banach spaces for the Schwartz distributions. (English) Zbl 1411.46022 Real Anal. Exch. 43, No. 1, 1-36 (2018). MSC: 46E30 26A39 PDF BibTeX XML Cite \textit{T. L. Gill}, Real Anal. Exch. 43, No. 1, 1--36 (2018; Zbl 1411.46022) Full Text: arXiv
Li, Baolin; An, Xiaowei; Gou, Haide Bounded variation solutions for retarded impulsive differential equations. (Chinese. English summary) Zbl 1399.34238 J. Sichuan Norm. Univ., Nat. Sci. 41, No. 1, 51-57 (2018). MSC: 34K45 26A39 PDF BibTeX XML Cite \textit{B. Li} et al., J. Sichuan Norm. Univ., Nat. Sci. 41, No. 1, 51--57 (2018; Zbl 1399.34238) Full Text: DOI
Kaliaj, Sokol Bush The new extensions of the Henstock-Kurzweil and the McShane integrals of vector-valued functions. (English) Zbl 1387.28014 Mediterr. J. Math. 15, No. 1, Paper No. 22, 16 p. (2018). MSC: 28B05 46B25 46G10 PDF BibTeX XML Cite \textit{S. B. Kaliaj}, Mediterr. J. Math. 15, No. 1, Paper No. 22, 16 p. (2018; Zbl 1387.28014) Full Text: DOI
Borkowski, Marcin; Bugajewska, Daria Applications of Henstock-Kurzweil integrals on an unbounded interval to differential and integral equations. (English) Zbl 1473.45008 Math. Slovaca 68, No. 1, 77-88 (2018). MSC: 45G10 26A39 34A05 45P05 PDF BibTeX XML Cite \textit{M. Borkowski} and \textit{D. Bugajewska}, Math. Slovaca 68, No. 1, 77--88 (2018; Zbl 1473.45008) Full Text: DOI
Leng, Ng Wee Nonabsolute integration on measure spaces. (English) Zbl 1392.28001 Series in Real Analysis 14. Hackensack, NJ: World Scientific (ISBN 978-981-3221-96-3/hbk; 978-981-3221-98-7/ebook). xviii, 228 p. (2018). Reviewer: Surjit Singh Khurana (Iowa City) MSC: 28-02 28A33 28A50 PDF BibTeX XML Cite \textit{N. W. Leng}, Nonabsolute integration on measure spaces. Hackensack, NJ: World Scientific (2018; Zbl 1392.28001) Full Text: DOI
You, Xuexiao; Zhao, Dafang; Torres, Delfim F. M. On the Henstock-Kurzweil integral for Riesz-space-valued functions on time scales. (English) Zbl 1412.28012 J. Nonlinear Sci. Appl. 10, No. 5, 2487-2500 (2017). MSC: 28B05 28B10 28B15 46G10 PDF BibTeX XML Cite \textit{X. You} et al., J. Nonlinear Sci. Appl. 10, No. 5, 2487--2500 (2017; Zbl 1412.28012) Full Text: DOI arXiv
You, Xuexiao; Liu, Wei; Ye, Guoju; Zhao, Dafang Existence theorems for nonlinear second-order three-point boundary value problems involving the distributional Henstock-Kurzweil integral. (English) Zbl 1412.34095 J. Nonlinear Sci. Appl. 10, No. 4, 1820-1829 (2017). MSC: 34B15 26A39 46G12 PDF BibTeX XML Cite \textit{X. You} et al., J. Nonlinear Sci. Appl. 10, No. 4, 1820--1829 (2017; Zbl 1412.34095) Full Text: DOI
Liu, Wei; Ye, Guoju; Zhao, Dafang The distributional Henstock-Kurzweil integral and applications. II. (English) Zbl 1412.46032 J. Nonlinear Sci. Appl. 10, No. 1, 290-298 (2017). MSC: 46B42 47H10 26A42 46G12 PDF BibTeX XML Cite \textit{W. Liu} et al., J. Nonlinear Sci. Appl. 10, No. 1, 290--298 (2017; Zbl 1412.46032) Full Text: DOI
Kawasaki, Toshiharu Some integrals between the Lebesgue integral and the Denjoy integral. (English) Zbl 1387.26020 Sci. Math. Jpn. 80, No. 3, 269-293 (2017). MSC: 26A36 26A39 PDF BibTeX XML Cite \textit{T. Kawasaki}, Sci. Math. Jpn. 80, No. 3, 269--293 (2017; Zbl 1387.26020)
Ma, Xuemin; Li, Baolin Averaging for Carathéodory equations. (English) Zbl 1389.34048 Math. Appl. 30, No. 3, 684-692 (2017). MSC: 34A34 34C29 26A39 PDF BibTeX XML Cite \textit{X. Ma} and \textit{B. Li}, Math. Appl. 30, No. 3, 684--692 (2017; Zbl 1389.34048)
Chen, Yanrong; Ye, Guoju; Liu, Wei; Mei, Hui First order quasi-linear PDEs with distributional Henstock-Kurzweil integral. (Chinese. English summary) Zbl 1389.35130 J. Jilin Univ., Sci. 55, No. 3, 490-494 (2017). MSC: 35F20 PDF BibTeX XML Cite \textit{Y. Chen} et al., J. Jilin Univ., Sci. 55, No. 3, 490--494 (2017; Zbl 1389.35130) Full Text: DOI
Sánchez-Perales, Salvador The initial value problem for the Schrödinger equation involving the Henstock-Kurzweil integral. (English) Zbl 1382.34096 Rev. Unión Mat. Argent. 58, No. 2, 297-306 (2017). MSC: 34L40 26A39 26A45 34A12 PDF BibTeX XML Cite \textit{S. Sánchez-Perales}, Rev. Unión Mat. Argent. 58, No. 2, 297--306 (2017; Zbl 1382.34096) Full Text: Link
Coghetto, Roland Gauge integral. (English) Zbl 1381.26009 Formaliz. Math. 25, No. 3, 217-225 (2017). MSC: 26A39 26A42 03B35 PDF BibTeX XML Cite \textit{R. Coghetto}, Formaliz. Math. 25, No. 3, 217--225 (2017; Zbl 1381.26009) Full Text: DOI
Muldowney, Pat Beyond dominated convergence: newer methods of integration. (English) Zbl 1383.26006 Ir. Math. Soc. Bull. 79, 53-74 (2017). MSC: 26A39 28A20 26A42 PDF BibTeX XML Cite \textit{P. Muldowney}, Ir. Math. Soc. Bull. 79, 53--74 (2017; Zbl 1383.26006) Full Text: arXiv
Morales, M. G.; Arredondo, J. H. Factorization in the space of Henstock-Kurzweil integrable functions. (English) Zbl 1373.42008 Azerb. J. Math. 7, No. 2, 116-131 (2017). MSC: 42A85 26A39 46J30 PDF BibTeX XML Cite \textit{M. G. Morales} and \textit{J. H. Arredondo}, Azerb. J. Math. 7, No. 2, 116--131 (2017; Zbl 1373.42008)
Tulone, Francesco; Skvortsov, Valentin Multidimensional \(\mathcal{P}\)-adic integrals in some problems of harmonic analysis. (English) Zbl 1362.26009 Minimax Theory Appl. 2, No. 1, 153-174 (2017). MSC: 26A39 42C10 PDF BibTeX XML Cite \textit{F. Tulone} and \textit{V. Skvortsov}, Minimax Theory Appl. 2, No. 1, 153--174 (2017; Zbl 1362.26009) Full Text: Link
Talvila, Erik Higher order corrected trapezoidal rules in Lebesgue and Alexiewicz spaces. (English) Zbl 1424.26064 J. Class. Anal. 8, No. 1, 77-90 (2016). MSC: 26D15 26A39 41A55 65D30 PDF BibTeX XML Cite \textit{E. Talvila}, J. Class. Anal. 8, No. 1, 77--90 (2016; Zbl 1424.26064) Full Text: DOI arXiv
Ye, Guoju; Liu, Wei The distributional Henstock-Kurzweil integral and applications: a survey. (English) Zbl 1374.26021 J. Math. Study 49, No. 4, 433-448 (2016). MSC: 26A39 26A42 PDF BibTeX XML Cite \textit{G. Ye} and \textit{W. Liu}, J. Math. Study 49, No. 4, 433--448 (2016; Zbl 1374.26021) Full Text: DOI Link
Morales, M. Guadalupe; Arredondo, Juan H.; Mendoza, Francisco J. An extension of some properties for the Fourier transform operator on \(L^p(\mathbb{R})\) spaces. (English) Zbl 1357.43001 Rev. Unión Mat. Argent. 57, No. 2, 85-94 (2016). Reviewer: Evgueni Doubtsov (St. Petersburg) MSC: 43A32 26A39 26A42 PDF BibTeX XML Cite \textit{M. G. Morales} et al., Rev. Unión Mat. Argent. 57, No. 2, 85--94 (2016; Zbl 1357.43001) Full Text: Link
Li, Baolin; Gou, Haide On the existence of weak solutions of nonlinear integral equations in Banach spaces. (English) Zbl 1355.45011 Mediterr. J. Math. 13, No. 5, 2633-2643 (2016). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 45N05 45G10 45B05 PDF BibTeX XML Cite \textit{B. Li} and \textit{H. Gou}, Mediterr. J. Math. 13, No. 5, 2633--2643 (2016; Zbl 1355.45011) Full Text: DOI
Li, Baolin; Gou, Haide Weak solutions nonlinear fractional integrodifferential equations in nonreflexive Banach spaces. (English) Zbl 1355.34115 Bound. Value Probl. 2016, Paper No. 209, 13 p. (2016). MSC: 34K37 34K30 34K10 47N20 PDF BibTeX XML Cite \textit{B. Li} and \textit{H. Gou}, Bound. Value Probl. 2016, Paper No. 209, 13 p. (2016; Zbl 1355.34115) Full Text: DOI
Ye, Guoju; Liu, Wei The distributional Henstock-Kurzweil integral and applications. (English) Zbl 1362.45009 Monatsh. Math. 181, No. 4, 975-989 (2016). Reviewer: Isabel Marrero (La Laguna) MSC: 45G10 26A42 46F05 46F30 PDF BibTeX XML Cite \textit{G. Ye} and \textit{W. Liu}, Monatsh. Math. 181, No. 4, 975--989 (2016; Zbl 1362.45009) Full Text: DOI
Malý, Jan; Pfeffer, Washek F. Henstock-Kurzweil integral on BV sets. (English) Zbl 1413.26026 Math. Bohem. 141, No. 2, 217-237 (2016). Reviewer: Jean Mawhin (Louvain-La-Neuve) MSC: 26B20 28A25 PDF BibTeX XML Cite \textit{J. Malý} and \textit{W. F. Pfeffer}, Math. Bohem. 141, No. 2, 217--237 (2016; Zbl 1413.26026) Full Text: DOI
Yang, Haifeng; Toh, Tin Lam On Henstock-Kurzweil method to Stratonovich integral. (English) Zbl 1389.26016 Math. Bohem. 141, No. 2, 129-142 (2016). MSC: 26A39 60H05 PDF BibTeX XML Cite \textit{H. Yang} and \textit{T. L. Toh}, Math. Bohem. 141, No. 2, 129--142 (2016; Zbl 1389.26016) Full Text: DOI
Mendoza Torres, Francisco J.; Guadalupe Morales Macías, M. On the convolution theorem for the Fourier transform of \(BV_0\) functions. (English) Zbl 1412.42015 J. Class. Anal. 7, No. 1, 63-71 (2015). MSC: 42A38 42A85 26A39 26A45 PDF BibTeX XML Cite \textit{F. J. Mendoza Torres} and \textit{M. Guadalupe Morales Macías}, J. Class. Anal. 7, No. 1, 63--71 (2015; Zbl 1412.42015) Full Text: DOI
Zhou, H.; Ye, G.; Liu, Wei; Wang, O. The distributional Henstock-Kurzweil integral and measure differential equations. (English) Zbl 1373.26008 Bull. Iran. Math. Soc. 41, No. 2, 363-374 (2015). MSC: 26A39 34A12 PDF BibTeX XML Cite \textit{H. Zhou} et al., Bull. Iran. Math. Soc. 41, No. 2, 363--374 (2015; Zbl 1373.26008) Full Text: Link
Fard, Omid; Bidgoli, Tayebeh Calculus of fuzzy functions on time scales. I. (English) Zbl 1351.26049 Soft Comput. 19, No. 2, 293-305 (2015). MSC: 26E50 28E10 PDF BibTeX XML Cite \textit{O. Fard} and \textit{T. Bidgoli}, Soft Comput. 19, No. 2, 293--305 (2015; Zbl 1351.26049) Full Text: DOI
Ma, Xuemin; Li, Baolin; Lin, Changwei Continuous dependence of bounded \(\Phi\)-variation solutions on parameter for a class of discontinuous systems. (English) Zbl 1349.34046 Chin. Q. J. Math. 30, No. 4, 610-619 (2015). MSC: 34A36 34A12 34C11 PDF BibTeX XML Cite \textit{X. Ma} et al., Chin. Q. J. Math. 30, No. 4, 610--619 (2015; Zbl 1349.34046) Full Text: DOI
Liang, Bing; Ye, Guoju; Liu, Wei; Wang, Hongmei On nonlinear three-point boundary value problems involving the distributional Henstock-Kurzweil integral. (Chinese. English summary) Zbl 1349.34062 J. Jilin Univ., Sci. 53, No. 4, 611-616 (2015). MSC: 34B10 34B15 47N20 26A39 PDF BibTeX XML Cite \textit{B. Liang} et al., J. Jilin Univ., Sci. 53, No. 4, 611--616 (2015; Zbl 1349.34062) Full Text: DOI
Musiał, Kazimierz A decomposition theorem for Banach space valued fuzzy Henstock integral. (English) Zbl 1335.28005 Fuzzy Sets Syst. 259, 21-28 (2015). MSC: 28E10 26E50 PDF BibTeX XML Cite \textit{K. Musiał}, Fuzzy Sets Syst. 259, 21--28 (2015; Zbl 1335.28005) Full Text: DOI
Li, Baolin; Gou, Haide Bounded variation solutions for retarded functional differential equations. (English) Zbl 1340.26018 J. Math., Wuhan Univ. 35, No. 3, 567-578 (2015). MSC: 26A45 34K99 PDF BibTeX XML Cite \textit{B. Li} and \textit{H. Gou}, J. Math., Wuhan Univ. 35, No. 3, 567--578 (2015; Zbl 1340.26018)
Rosentrater, C. Ray Varieties of integration. (English) Zbl 1339.26004 The Dolciani Mathematical Expositions 51. Washington, DC: Mathematical Association of America (MAA) (ISBN 978-0-88385-359-7/hbk; 978-1-61444-217-2/ebook). xv, 325 p. (2015). Reviewer: Antonín Slavík (Praha) MSC: 26-01 28-01 28A25 26A42 26A39 PDF BibTeX XML Cite \textit{C. R. Rosentrater}, Varieties of integration. Washington, DC: Mathematical Association of America (MAA) (2015; Zbl 1339.26004)
Di Piazza, Luisa; Porcello, Giovanni Radon-Nikodým theorems for finitely additive multimeasures. (English) Zbl 1331.28026 Z. Anal. Anwend. 34, No. 4, 373-389 (2015). MSC: 28B20 26A39 46G10 PDF BibTeX XML Cite \textit{L. Di Piazza} and \textit{G. Porcello}, Z. Anal. Anwend. 34, No. 4, 373--389 (2015; Zbl 1331.28026) Full Text: DOI
Boccuto, A.; Skvortsov, V. A.; Tulone, F. Integration of functions ranging in complex Riesz space and some applications in harmonic analysis. (English. Russian original) Zbl 1329.28025 Math. Notes 98, No. 1, 25-37 (2015); translation from Mat. Zametki 98, No. 1, 12-26 (2015). Reviewer: Hans Weber (Udine) MSC: 28B15 28C10 22C05 42A16 PDF BibTeX XML Cite \textit{A. Boccuto} et al., Math. Notes 98, No. 1, 25--37 (2015; Zbl 1329.28025); translation from Mat. Zametki 98, No. 1, 12--26 (2015) Full Text: DOI
Dirmeikis, Šarūnas; Norvaiša, Rimas An extended product integral, a modified linear integral equation, and functions of bounded \(p\)-variation. (English) Zbl 1326.26019 Lith. Math. J. 55, No. 3, 343-366 (2015). MSC: 26A42 26A45 45A05 PDF BibTeX XML Cite \textit{Š. Dirmeikis} and \textit{R. Norvaiša}, Lith. Math. J. 55, No. 3, 343--366 (2015; Zbl 1326.26019) Full Text: DOI
Liang, Bing; Ye, Guoju; Liu, Wei; Wang, Hongmei On second order nonlinear boundary value problems and the distributional Henstock-Kurzweil integral. (English) Zbl 1326.34039 Bound. Value Probl. 2015, Paper No. 73, 8 p. (2015). Reviewer: Antonín Slavík (Praha) MSC: 34B10 34B15 26A39 47N20 PDF BibTeX XML Cite \textit{B. Liang} et al., Bound. Value Probl. 2015, Paper No. 73, 8 p. (2015; Zbl 1326.34039) Full Text: DOI
Talvila, Erik The one-dimensional heat equation in the Alexiewicz norm. (English) Zbl 1515.35111 Adv. Pure Appl. Math. 6, No. 1, 13-37 (2015). MSC: 35K05 35K15 26A39 46F05 46F10 46G12 PDF BibTeX XML Cite \textit{E. Talvila}, Adv. Pure Appl. Math. 6, No. 1, 13--37 (2015; Zbl 1515.35111) Full Text: DOI arXiv
Caponetti, D.; Di Piazza, L.; Kadets, V. Description of the limit set of Henstock-Kurzweil integral sums of vector-valued functions. (English) Zbl 1309.46024 J. Math. Anal. Appl. 421, No. 2, 1151-1162 (2015). Reviewer: Mihai Turinici (Iaşi) MSC: 46G10 28B05 26E20 PDF BibTeX XML Cite \textit{D. Caponetti} et al., J. Math. Anal. Appl. 421, No. 2, 1151--1162 (2015; Zbl 1309.46024) Full Text: DOI
Singh, Surinder Pal; Rana, Inder. K. A new characterization of \(ACG^\ast\)-functions. (English) Zbl 1334.26017 Sci. Math. Jpn. 77, No. 1, 7-11 (2014). MSC: 26A46 26A39 PDF BibTeX XML Cite \textit{S. P. Singh} and \textit{Inder. K. Rana}, Sci. Math. Jpn. 77, No. 1, 7--11 (2014; Zbl 1334.26017) Full Text: Link
Thomson, Brian S. Strong derivatives and integrals. (English) Zbl 1325.26019 Real Anal. Exch. 39(2013-2014), No. 2, 469-488 (2014). Reviewer: Peter S. Bullen (Vancouver) MSC: 26A24 26A42 PDF BibTeX XML Cite \textit{B. S. Thomson}, Real Anal. Exch. 39, No. 2, 469--488 (2014; Zbl 1325.26019) Full Text: DOI Euclid
Rana, Inder K.; Singh, Surinder Pal The Hake’s theorem on metric measure spaces. (English) Zbl 1326.26017 Real Anal. Exch. 39(2013-2014), No. 2, 447-458 (2014). Reviewer: Peter S. Bullen (Vancouver) MSC: 26A39 46G99 PDF BibTeX XML Cite \textit{I. K. Rana} and \textit{S. P. Singh}, Real Anal. Exch. 39, No. 2, 447--458 (2014; Zbl 1326.26017) Full Text: DOI Euclid
Burgin, Mark Definite integral: basic approaches. (English) Zbl 1347.97007 Integr., Math. Theory Appl. 3(2012), No. 4, 383-396 (2014). MSC: 97I50 26A42 28A50 PDF BibTeX XML Cite \textit{M. Burgin}, Integr., Math. Theory Appl. 3, No. 4, 383--396 (2014; Zbl 1347.97007)
Zhou, Hao; Ye, Guoju; Wang, Ou; Yang, Huimin First-order antiperiodic boundary value problems containing distributional Henstock-Kurzweil integral. (Chinese. English summary) Zbl 1313.34066 J. Jilin Univ., Sci. 52, No. 4, 672-676 (2014). MSC: 34B15 47N20 26A39 PDF BibTeX XML Cite \textit{H. Zhou} et al., J. Jilin Univ., Sci. 52, No. 4, 672--676 (2014; Zbl 1313.34066) Full Text: DOI
Honzík, Petr; Malý, Jan Non-absolutely convergent integrals and singular integrals. (English) Zbl 1305.26022 Collect. Math. 65, No. 3, 367-377 (2014). MSC: 26A39 28D20 26B20 PDF BibTeX XML Cite \textit{P. Honzík} and \textit{J. Malý}, Collect. Math. 65, No. 3, 367--377 (2014; Zbl 1305.26022) Full Text: DOI
Liu, Wei; An, Tianqing; Ye, Guoju On first-order periodic boundary value problems and distributional Henstock-Kurzweil integrals. (English) Zbl 1320.34032 Bound. Value Probl. 2014, Paper No. 54, 11 p. (2014). Reviewer: Antonín Slavík (Praha) MSC: 34B15 47N20 PDF BibTeX XML Cite \textit{W. Liu} et al., Bound. Value Probl. 2014, Paper No. 54, 11 p. (2014; Zbl 1320.34032) Full Text: DOI
Porcello, Giovanni Decomposability in the space of \(HKP\)-integrable functions. (English) Zbl 1302.26004 Math. Nachr. 287, No. 14-15, 1733-1744 (2014). MSC: 26A39 28B20 PDF BibTeX XML Cite \textit{G. Porcello}, Math. Nachr. 287, No. 14--15, 1733--1744 (2014; Zbl 1302.26004) Full Text: DOI
Mitra, Subhen; Mukhopadhyay, S. N. Linear functionals on the space of symmetric \(T^2\)-integrable functions. (English) Zbl 1300.26005 Bull. Allahabad Math. Soc. 29, No. 1, 39-52 (2014). MSC: 26A39 46E99 26A45 PDF BibTeX XML Cite \textit{S. Mitra} and \textit{S. N. Mukhopadhyay}, Bull. Allahabad Math. Soc. 29, No. 1, 39--52 (2014; Zbl 1300.26005)
Sánchez-Perales, Salvador; Tenorio, Jesús F. Laplace transform using the Henstock-Kurzweil integral. (English) Zbl 1292.44002 Rev. Unión Mat. Argent. 55, No. 1, 71-81 (2014). MSC: 44A10 26A39 44A35 PDF BibTeX XML Cite \textit{S. Sánchez-Perales} and \textit{J. F. Tenorio}, Rev. Unión Mat. Argent. 55, No. 1, 71--81 (2014; Zbl 1292.44002) Full Text: Link
Halilović, A.; Panrike, J. Multilinear Stieltjes integrals of functions of several variables. (English) Zbl 1291.26008 Int. J. Pure Appl. Math. 90, No. 4, 561-583 (2014). MSC: 26A42 26B12 28B05 46G10 PDF BibTeX XML Cite \textit{A. Halilović} and \textit{J. Panrike}, Int. J. Pure Appl. Math. 90, No. 4, 561--583 (2014; Zbl 1291.26008) Full Text: DOI Link
Skvortsov, V. A.; Tulone, F. Generalized Hake property for integrals of Henstock type. (English. Russian original) Zbl 1317.26009 Mosc. Univ. Math. Bull. 68, No. 6, 270-274 (2013); translation from Vestn. Mosk. Univ., Ser I 68, No. 6, 9-13 (2013). Reviewer: Antonín Slavík (Praha) MSC: 26A39 26A42 PDF BibTeX XML Cite \textit{V. A. Skvortsov} and \textit{F. Tulone}, Mosc. Univ. Math. Bull. 68, No. 6, 270--274 (2013; Zbl 1317.26009); translation from Vestn. Mosk. Univ., Ser I 68, No. 6, 9--13 (2013) Full Text: DOI
Di Piazza, Luisa; Musiał, Kazimierz Henstock-Kurzweil-Pettis integrability of compact valued multifunctions with values in an arbitrary Banach space. (English) Zbl 1309.28012 J. Math. Anal. Appl. 408, No. 2, 452-464 (2013). MSC: 28B20 46G10 47H04 PDF BibTeX XML Cite \textit{L. Di Piazza} and \textit{K. Musiał}, J. Math. Anal. Appl. 408, No. 2, 452--464 (2013; Zbl 1309.28012) Full Text: DOI
Cichoń, Kinga; Cichoń, Mieczysław; Satco, Bianca Differential inclusions and multivalued integrals. (English) Zbl 1298.34110 Discuss. Math., Differ. Incl. Control Optim. 33, No. 2, 171-191 (2013). MSC: 34G25 34B10 26A39 47N20 26E25 28B20 PDF BibTeX XML Cite \textit{K. Cichoń} et al., Discuss. Math., Differ. Incl. Control Optim. 33, No. 2, 171--191 (2013; Zbl 1298.34110) Full Text: DOI Link
Ma, Xuemin; Li, Baolin; Lin, Changwei Uniqueness of bounded variation solutions of Cauchy systems involving parameter. (English) Zbl 1299.34032 J. Math. Study 46, No. 4, 344-350 (2013). MSC: 34A12 26A39 PDF BibTeX XML Cite \textit{X. Ma} et al., J. Math. Study 46, No. 4, 344--350 (2013; Zbl 1299.34032)
Yang, Huimin; Ye, Guoju; Zhou, Xueyuan; Zhou, Hao; Wang, Ou Existence-uniqueness theorem of solutions to the equation involving the distributional derivative. (Chinese. English summary) Zbl 1299.34033 J. Jilin Univ., Sci. 51, No. 5, 749-754 (2013). MSC: 34A12 26A24 PDF BibTeX XML Cite \textit{H. Yang} et al., J. Jilin Univ., Sci. 51, No. 5, 749--754 (2013; Zbl 1299.34033)