Watson, Robert Product ordered Hausdorff continuous \(\mathbb{R}^n\)-interval functions. (English) Zbl 1503.46036 J. Anal. 30, No. 2, 749-783 (2022). MSC: 46E40 46B42 46A40 65G99 PDF BibTeX XML Cite \textit{R. Watson}, J. Anal. 30, No. 2, 749--783 (2022; Zbl 1503.46036) Full Text: DOI OpenURL
van der Walt, Jan Harm Category measures, the dual of \(\mathrm{C}(K)^{\delta}\) and hyper-Stonean spaces. (English) Zbl 1477.46027 Proc. Am. Math. Soc. 149, No. 11, 4841-4852 (2021). Reviewer: Dirk Werner (Berlin) MSC: 46E05 46B10 46E27 54G05 54F65 28C15 PDF BibTeX XML Cite \textit{J. H. van der Walt}, Proc. Am. Math. Soc. 149, No. 11, 4841--4852 (2021; Zbl 1477.46027) Full Text: DOI arXiv OpenURL
Mozo Carollo, Imanol On the universal completion of pointfree function spaces. (English) Zbl 1498.06025 J. Pure Appl. Algebra 225, No. 2, Article ID 106490, 19 p. (2021). Reviewer: Jorge Picado (Coimbra) MSC: 06D22 06F20 54D15 54C10 54C30 PDF BibTeX XML Cite \textit{I. Mozo Carollo}, J. Pure Appl. Algebra 225, No. 2, Article ID 106490, 19 p. (2021; Zbl 1498.06025) Full Text: DOI OpenURL
Mozo Carollo, Imanol A lattice-theoretic approach to arbitrary real functions on frames. (English) Zbl 1436.06025 Quaest. Math. 41, No. 3, 319-347 (2018); erratum ibid. 45, No. 12, 1987 (2022). MSC: 06D22 06B23 26A15 54C30 54D15 PDF BibTeX XML Cite \textit{I. Mozo Carollo}, Quaest. Math. 41, No. 3, 319--347 (2018; Zbl 1436.06025) Full Text: DOI OpenURL
van der Walt, Jan Harm The universal completion of \(C(X)\) and unbounded order convergence. (English) Zbl 1395.46020 J. Math. Anal. Appl. 460, No. 1, 76-97 (2018). MSC: 46E05 46A40 54C35 PDF BibTeX XML Cite \textit{J. H. van der Walt}, J. Math. Anal. Appl. 460, No. 1, 76--97 (2018; Zbl 1395.46020) Full Text: DOI OpenURL
Agbebaku, Dennis Ferdinand; van der Walt, Jan Harm The order completion method: a differential-algebraic representation. (English) Zbl 1474.46081 Novi Sad J. Math. 47, No. 1, 17-47 (2017). MSC: 46F30 35D99 46A40 46A19 54E15 PDF BibTeX XML Cite \textit{D. F. Agbebaku} and \textit{J. H. van der Walt}, Novi Sad J. Math. 47, No. 1, 17--47 (2017; Zbl 1474.46081) Full Text: Link OpenURL
van der Walt, Jan Harm Vector-valued interval functions and the Dedekind completion of \(C(X,E)\). (English) Zbl 1386.46038 Positivity 21, No. 3, 1143-1159 (2017). Reviewer: S. S. Kutateladze (Novosibirsk) MSC: 46E40 46E05 46A40 PDF BibTeX XML Cite \textit{J. H. van der Walt}, Positivity 21, No. 3, 1143--1159 (2017; Zbl 1386.46038) Full Text: DOI OpenURL
van der Walt, Jan Harm The Riesz space of minimal usco maps. (English) Zbl 1405.54011 de Jeu, Marcel (ed.) et al., Ordered structures and applications. Positivity VII (Zaanen centennial conference), Leiden, the Netherlands, July 22–26, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-319-27840-7/hbk; 978-3-319-27842-1/ebook). Trends in Mathematics, 481-502 (2016). MSC: 54C40 54C60 46A40 46B42 47H04 PDF BibTeX XML Cite \textit{J. H. van der Walt}, in: Ordered structures and applications. Positivity VII (Zaanen centennial conference), Leiden, the Netherlands, July 22--26, 2013. Basel: Birkhäuser/Springer. 481--502 (2016; Zbl 1405.54011) Full Text: DOI OpenURL
Dăneţ, Nicolae The Dedekind completion of \(C(X)\) with pointwise discontinuous functions. (English) Zbl 1409.46003 de Jeu, Marcel (ed.) et al., Ordered structures and applications. Positivity VII (Zaanen centennial conference), Leiden, the Netherlands, July 22–26, 2013. Basel: Birkhäuser/Springer. Trends Math., 111-126 (2016). MSC: 46A40 46E05 54C35 06B23 PDF BibTeX XML Cite \textit{N. Dăneţ}, in: Ordered structures and applications. Positivity VII (Zaanen centennial conference), Leiden, the Netherlands, July 22--26, 2013. Basel: Birkhäuser/Springer. 111--126 (2016; Zbl 1409.46003) Full Text: DOI OpenURL
Gutiérrez García, Javier; Mozo Carollo, Imanol; Picado, Jorge Normal semicontinuity and the Dedekind completion of pointfree function rings. (English) Zbl 1353.06004 Algebra Univers. 75, No. 3, 301-330 (2016). Reviewer: Themba Dube (Unisa) MSC: 06D22 06B23 06F25 13J25 54C30 54D15 26A15 PDF BibTeX XML Cite \textit{J. Gutiérrez García} et al., Algebra Univers. 75, No. 3, 301--330 (2016; Zbl 1353.06004) Full Text: DOI Link OpenURL
Dăneţ, Nicolae Riesz spaces of normal semicontinuous functions. (English) Zbl 1343.46002 Mediterr. J. Math. 12, No. 4, 1345-1355 (2015). Reviewer: Beloslav Riečan (Banská Bystrica) MSC: 46A40 54C35 06B23 PDF BibTeX XML Cite \textit{N. Dăneţ}, Mediterr. J. Math. 12, No. 4, 1345--1355 (2015; Zbl 1343.46002) Full Text: DOI OpenURL
Anguelov, Roumen; van der Walt, Jan Harm Algebraic and topological structure of some spaces of set-valued maps. (English) Zbl 1383.54023 Comput. Math. Appl. 66, No. 9, 1643-1654 (2013). Reviewer: Vladimir Tkachuk (México D. F.) MSC: 54C35 54C60 54H11 PDF BibTeX XML Cite \textit{R. Anguelov} and \textit{J. H. van der Walt}, Comput. Math. Appl. 66, No. 9, 1643--1654 (2013; Zbl 1383.54023) Full Text: DOI OpenURL
Van Der Walt, Jan Harm The order completion method for systems of nonlinear PDEs: solutions of initial value problems. (English) Zbl 1308.35011 Abstr. Appl. Anal. 2013, Article ID 739462, 12 p. (2013). MSC: 35A25 35A01 35D30 PDF BibTeX XML Cite \textit{J. H. Van Der Walt}, Abstr. Appl. Anal. 2013, Article ID 739462, 12 p. (2013; Zbl 1308.35011) Full Text: DOI OpenURL
Van Der Walt, J. H. Convergence of sequences of semi-continuous functions. (English) Zbl 1235.26005 J. Math. Anal. Appl. 388, No. 2, 739-752 (2012). MSC: 26A15 46F30 PDF BibTeX XML Cite \textit{J. H. Van Der Walt}, J. Math. Anal. Appl. 388, No. 2, 739--752 (2012; Zbl 1235.26005) Full Text: DOI OpenURL
van der Walt, Jan Harm Solutions of smooth nonlinear partial differential equations. (English) Zbl 1221.35022 Abstr. Appl. Anal. 2011, Article ID 658936, 37 p. (2011). MSC: 35A25 35B65 35G20 PDF BibTeX XML Cite \textit{J. H. van der Walt}, Abstr. Appl. Anal. 2011, Article ID 658936, 37 p. (2011; Zbl 1221.35022) Full Text: DOI OpenURL
Dăneţ, Nicolae Hausdorff continuous interval-valued functions and quasicontinuous functions. (English) Zbl 1208.26048 Positivity 14, No. 4, 655-663 (2010). Reviewer: Petr Holický (Praha) MSC: 26E25 26A15 06B23 54E52 PDF BibTeX XML Cite \textit{N. Dăneţ}, Positivity 14, No. 4, 655--663 (2010; Zbl 1208.26048) Full Text: DOI OpenURL
Anguelov, R.; Kalenda, O. F. K. The convergence space of minimal usco mappings. (English) Zbl 1224.54048 Czech. Math. J. 59, No. 1, 101-128 (2009). MSC: 54C60 54A05 54E15 54C35 PDF BibTeX XML Cite \textit{R. Anguelov} and \textit{O. F. K. Kalenda}, Czech. Math. J. 59, No. 1, 101--128 (2009; Zbl 1224.54048) Full Text: DOI arXiv EuDML OpenURL
van der Walt, Jan Harm The order completion method for systems of nonlinear PDEs revisited. (English) Zbl 1177.35055 Acta Appl. Math. 106, No. 2, 149-176 (2009). MSC: 35G20 54A20 06B30 46E05 46F30 PDF BibTeX XML Cite \textit{J. H. van der Walt}, Acta Appl. Math. 106, No. 2, 149--176 (2009; Zbl 1177.35055) Full Text: DOI arXiv OpenURL
van der Walt, Jan Harm The order completion method for systems of nonlinear PDEs: pseudo-topological perspectives. (English) Zbl 1154.35328 Acta Appl. Math. 103, No. 1, 1-17 (2008). MSC: 35G20 54A20 06B30 46E05 PDF BibTeX XML Cite \textit{J. H. van der Walt}, Acta Appl. Math. 103, No. 1, 1--17 (2008; Zbl 1154.35328) Full Text: DOI arXiv OpenURL
Anguelov, Roumen; Rosinger, Elemér E. Solving large classes of nonlinear systems of PDEs. (English) Zbl 1130.35026 Comput. Math. Appl. 53, No. 3-4, 491-507 (2007). MSC: 35G20 35A25 PDF BibTeX XML Cite \textit{R. Anguelov} and \textit{E. E. Rosinger}, Comput. Math. Appl. 53, No. 3--4, 491--507 (2007; Zbl 1130.35026) Full Text: DOI arXiv OpenURL
Anguelov, Roumen; Markov, Svetoslav; Sendov, Blagovest The set of Hausdorff continuous functions – the largest linear space of interval functions. (English) Zbl 1110.65036 Reliab. Comput. 12, No. 5, 337-363 (2006). Reviewer: Günter Mayer (Rostock) MSC: 65G40 PDF BibTeX XML Cite \textit{R. Anguelov} et al., Reliab. Comput. 12, No. 5, 337--363 (2006; Zbl 1110.65036) Full Text: DOI arXiv OpenURL