Mondal, Pratikshan; Dey, Lakshmi Kanta; Ali, Sk. Jaker \(\mathcal{I}\)-convergence of sequences of \(p\)-Bochner, \(p\)-Dunford and \(p\)-Pettis integrable functions with values in a Banach space. (English) Zbl 07976322 J. Convex Anal. 32, No. 4, 1091-1116 (2025). MSC: 26A42 28B05 46G10 × Cite Format Result Cite Review PDF Full Text: Link
Lindstrøm, Tom; Ross, David A. A nonstandard approach to asymptotic fixed point theorems. (English) Zbl 1521.54030 J. Fixed Point Theory Appl. 25, No. 1, Paper No. 35, 22 p. (2023). Reviewer: Simeon Reich (Haifa) MSC: 54H25 54E40 54J05 × Cite Format Result Cite Review PDF Full Text: DOI
Antonevich, A. B.; Shagova, T. G. Multiplication of distributions and algebras of mnemofunctions. (English. Russian original) Zbl 1505.46040 J. Math. Sci., New York 265, No. 2, 147-195 (2022); translation from Sovrem. Mat., Fundam. Napravl. 65, No. 3, 339-389 (2019). MSC: 46F10 46F05 × Cite Format Result Cite Review PDF Full Text: DOI
Zlatoš, Pavol Jan Gordon’s conjecture 3: Fourier transforms in the hyperfinite setting. (English) Zbl 1492.43004 J. Log. Anal. 13, Paper No. 7, 39 p. (2021). MSC: 43A25 26E35 28E05 46S20 43A10 43A15 43A20 × Cite Format Result Cite Review PDF Full Text: DOI
Todorov, Todor D. Infinite-dimensional linear algebra and solvability of partial differential equations. (English) Zbl 1465.35109 J. Log. Anal. 13, Paper No. 5, 34 p. (2021). MSC: 35D35 35E20 35J15 46F05 46F10 47F05 46S20 46F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zlatoš, Pavol Jan Gordon’s conjectures 1 and 2: Pontryagin-van Kampen duality in the hyperfinite setting. (English) Zbl 1486.22006 J. Log. Anal. 13, Paper No. 1, 71 p. (2021). Reviewer: Isaac Goldbring (Irvine) MSC: 22D99 03H05 26E35 28E05 54J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borrego-Díaz, Joaquín Algebraic combinatorics in bounded induction. (English) Zbl 1498.03154 Ann. Pure Appl. Logic 172, No. 2, Article ID 102885, 30 p. (2021). MSC: 03F30 03C62 03H15 05D10 06F30 22A15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bottazzi, Emanuele A grid function formulation of a class of ill-posed parabolic equations. (English) Zbl 1462.35454 J. Differ. Equations 271, 39-75 (2021). MSC: 35R25 35K20 35K59 35K65 47J06 46F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kanovei, Vladimir; Katz, Mikhail G.; Nowik, Tahl Metric completions, the Heine-Borel property, and approachability. (English) Zbl 1443.54010 Open Math. 18, 162-166 (2020). MSC: 54D35 54E35 26E35 03H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Strobel, Michael Non-standard analysis in dynamic geometry. (English) Zbl 1444.68278 J. Symb. Comput. 97, 69-108 (2020). MSC: 68U05 03H05 51N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gordon, Evgeny I. Some remarks about nonstandard methods in analysis. I. (English) Zbl 1463.03063 Vladikavkaz. Mat. Zh. 21, No. 4, 25-41 (2019). MSC: 03H05 03E35 26E35 46A40 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Burskiĭ, Vladimir Petrovich On differential operators and differential equations on torus. (Russian. English summary) Zbl 1424.35029 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 22, No. 4, 607-619 (2018). MSC: 35B10 35D99 58J15 35H10 26E35 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Bascelli, Tiziana; Błaszczyk, Piotr; Borovik, Alexandre; Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Kutateladze, Semen S.; McGaffey, Thomas; Schaps, David M.; Sherry, David Cauchy’s infinitesimals, his sum theorem, and foundational paradigms. (English) Zbl 1398.01014 Found. Sci. 23, No. 2, 267-296 (2018). MSC: 01A55 26-03 26A06 26E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Herzberg, Frederik S.; Kanovei, Vladimir; Katz, Mikhail; Lyubetsky, Vassily Minimal axiomatic frameworks for definable hyperreals with transfer. (English) Zbl 1447.03014 J. Symb. Log. 83, No. 1, 385-391 (2018). MSC: 03E35 03C20 03H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Devitt-Lee, Adrian; Wang, Hongyan; Li, Jie; Boghosian, Bruce A nonstandard description of wealth concentration in large-scale economies. (English) Zbl 1386.91106 SIAM J. Appl. Math. 78, No. 2, 996-1008 (2018). MSC: 91B80 35Q84 82C31 × Cite Format Result Cite Review PDF Full Text: DOI
Velupillai, K. Vela Algorithmic economics: incomputability, undecidability and unsolvability in economics. (English) Zbl 1544.03038 Cooper, S. Barry (ed.) et al., The incomputable. Journeys beyond the Turing barrier. Cham: Springer. Theory Appl. Comput., 105-120 (2017). MSC: 03D35 03D80 91B99 × Cite Format Result Cite Review PDF Full Text: DOI
Zlatoš, Pavol Stability of systems of general functional equations in the compact-open topology. (English) Zbl 1387.39032 Brzdęk, Janusz (ed.) et al., Developments in functional equations and related topics. Selected papers based on the presentations at the 16th international conference on functional equations and inequalities, ICFEI, Będlewo, Poland, May 17–23, 2015. Cham: Springer (ISBN 978-3-319-61731-2/hbk; 978-3-319-61732-9/ebook). Springer Optimization and Its Applications 124, 333-352 (2017). MSC: 39B82 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gilkey, Peter; Karousou, Alexandra; López Ornat, Susana Applications of model theory to the study of ‘soft’ universals in language. (English) Zbl 1378.03029 Math. Methods Appl. Sci. 40, No. 17, 6096-6102 (2017). MSC: 03B65 91F20 × Cite Format Result Cite Review PDF Full Text: DOI
Perlis, Don Taking physical infinity seriously. (English) Zbl 1439.03111 Omodeo, Eugenio G. (ed.) et al., Martin Davis on computability, computational logic, and mathematical foundations. Cham: Springer. Outst. Contrib. Log. 10, 243-254 (2016). MSC: 03H10 03A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Davis, Martin My life as a logician. (English) Zbl 1439.03007 Omodeo, Eugenio G. (ed.) et al., Martin Davis on computability, computational logic, and mathematical foundations. Cham: Springer. Outst. Contrib. Log. 10, 1-33 (2016). MSC: 03-03 01A70 × Cite Format Result Cite Review PDF Full Text: DOI
Rizza, Davide Divergent mathematical treatments in utility theory. (English) Zbl 1408.91071 Erkenntnis 81, No. 6, 1287-1303 (2016). MSC: 91B16 03H10 26E35 × Cite Format Result Cite Review PDF Full Text: DOI
Błaszczyk, Piotr; Borovik, Alexandre; Kanovei, Vladimir; Katz, Mikhail G.; Kudryk, Taras; Kutateladze, Semen S.; Sherry, David A non-standard analysis of a cultural icon: the case of Paul Halmos. (English) Zbl 1365.01032 Log. Univers. 10, No. 4, 393-405 (2016). Reviewer: Thomas Sonar (Braunschweig) MSC: 01A60 26E35 47A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Luperi Baglini, Lorenzo \(\mathcal {F}\)-finite embeddabilities of sets and ultrafilters. (English) Zbl 1354.05139 Arch. Math. Logic 55, No. 5-6, 705-734 (2016). MSC: 05D10 22A15 03H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Emelyanov, Eduard; Gül, Hasan Nonstandard hulls of ordered vector spaces. (English) Zbl 1348.46075 Positivity 20, No. 2, 413-433 (2016). Reviewer: S. S. Kutateladze (Novosibirsk) MSC: 46S20 46A40 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ferenczi, Miklós Probabilities defined on standard and non-standard cylindric set algebras. (English) Zbl 1357.03094 Synthese 192, No. 7, 2025-2033 (2015). MSC: 03G15 03B48 03H05 × Cite Format Result Cite Review PDF Full Text: DOI
Sládek, Filip; Zlatoš, Pavol A local stability principle for continuous group homomorphisms in nonstandard setting. (English) Zbl 1328.22002 Aequationes Math. 89, No. 4, 991-1001 (2015). Reviewer: Dieter Remus (Hagen) MSC: 22D12 54J05 22C05 × Cite Format Result Cite Review PDF Full Text: DOI
Tanaka, Yu-ichi; Tsuboi, Akito A construction of real closed fields. (English) Zbl 1372.03082 Math. Log. Q. 61, No. 3, 159-168 (2015). MSC: 03C60 03C64 12J15 12L12 × Cite Format Result Cite Review PDF Full Text: DOI
Durnev, V. G. Very subjective memories-reflections. (Russian. English summary) Zbl 1436.01076 Chebyshevskiĭ Sb. 15, No. 4(52), 180-189 (2014). MSC: 01A73 × Cite Format Result Cite Review PDF Full Text: MNR
Ciurea, Grigore Nonstandard methods in measure theory. (English) Zbl 1474.28025 Abstr. Appl. Anal. 2014, Article ID 851080, 10 p. (2014). MSC: 28E05 26E35 × Cite Format Result Cite Review PDF Full Text: DOI
Baglini, Lorenzo Luperi Ultrafilters maximal for finite embeddability. (English) Zbl 1321.05011 J. Log. Anal. 6, Paper No. 6, 16 p. (2014). MSC: 05A17 03H15 11U10 54D80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kanovei, Vladimir; Katz, Mikhail G.; Mormann, Thomas Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics. (English) Zbl 1392.03012 Found. Sci. 18, No. 2, 259-296 (2013). MSC: 03A05 00A30 03H05 26E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lammert, Paul E. Coarse-grained spin density-functional theory: infinite-volume limit via the hyperfinite. (English) Zbl 1285.82006 J. Math. Phys. 54, No. 6, 062104, 21 p. (2013). MSC: 82B10 82D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Błaszczyk, Piotr; Katz, Mikhail G.; Sherry, David Ten misconceptions from the history of analysis and their debunking. (English) Zbl 1291.01018 Found. Sci. 18, No. 1, 43-74 (2013). Reviewer: Thomas Sonar (Braunschweig) MSC: 01A55 26-03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kisil, Vladimir V. Induced representations and hypercomplex numbers. (English) Zbl 1269.30052 Adv. Appl. Clifford Algebr. 23, No. 2, 417-440 (2013). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Katz, Karin Usadi; Katz, Mikhail G. A Burgessian critique of nominalistic tendencies in contemporary mathematics and its historiography. (English) Zbl 1283.03006 Found. Sci. 17, No. 1, 51-89 (2012). MSC: 03-03 00A30 01A85 03A10 03F60 26-03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Katz, Karin Usadi; Katz, Mikhail G. Stevin numbers and reality. (English) Zbl 1275.01016 Found. Sci. 17, No. 2, 109-123 (2012). Reviewer: Leon Harkleroad (Bowdoinham) MSC: 01A99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andreyev, M. Yu. Defaults and infinite prices in a stochastic pure exchange model. (English) Zbl 1245.91073 Appl. Math. Comput. 218, No. 16, 8112-8119 (2012). MSC: 91B70 91B26 91G70 × Cite Format Result Cite Review PDF Full Text: DOI
Kisil, Vladimir V. Hypercomplex representations of the Heisenberg group and mechanics. (English) Zbl 1247.81232 Int. J. Theor. Phys. 51, No. 3, 964-984 (2012). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 81S10 11F27 81R15 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ma, Chunhui; Li, Shenggang; Shi, Yanwei Radon-Nikodym theorem in signed Loeb space. (English) Zbl 1240.03058 Wuhan Univ. J. Nat. Sci. 15, No. 1, 21-24 (2010). MSC: 03H05 28E05 × Cite Format Result Cite Review PDF Full Text: DOI
Chihara, Charles New directions for nominalist philosophers of mathematics. (English) Zbl 1216.03020 Synthese 176, No. 2, 153-175 (2010). MSC: 03A05 00A30 03A10 03H05 × Cite Format Result Cite Review PDF Full Text: DOI
Goldbring, Isaac Hilbert’s fifth problem for local groups. (English) Zbl 1219.22004 Ann. Math. (2) 172, No. 2, 1269-1314 (2010). Reviewer: Sobhakar Ganguly (Kolkata) MSC: 22A30 22E99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ferenczi, Miklós Non-standard stochastics with a first order algebraization. (English) Zbl 1208.03060 Stud. Log. 95, No. 3, 345-354 (2010). MSC: 03H05 03G15 × Cite Format Result Cite Review PDF Full Text: DOI
Wiśnicki, Andrzej On fixed-point sets of nonexpansive mappings in nonstandard hulls and Banach space ultrapowers. (English) Zbl 1143.47039 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 12, 2720-2730 (2007). MSC: 47H09 47S20 × Cite Format Result Cite Review PDF Full Text: DOI
Yakovlev, I. V. Model approach to nonstandard analysis in the context of axiomatic set theory. (English. Russian original) Zbl 1151.26020 Math. Notes 79, No. 1, 122-128 (2006); translation from Mat. Zametki 79, No. 1, 134-141 (2006). Reviewer: Klaus Kaiser (Houston) MSC: 26E35 03H05 × Cite Format Result Cite Review PDF Full Text: DOI
Konovalov, Alexander; Marakulin, Valeri Equilibria without the survival assumption. (English) Zbl 1137.91014 J. Math. Econ. 42, No. 2, 198-215 (2006). MSC: 91B50 26E35 × Cite Format Result Cite Review PDF Full Text: DOI
Miklashevich, Ihar A.; Barkaline, Viatcheslav V. Mathematical representations of the dynamics of social system. I: General description. (English) Zbl 1098.91096 Chaos Solitons Fractals 23, No. 1, 195-206 (2005). MSC: 91D10 91E40 × Cite Format Result Cite Review PDF Full Text: DOI
Almeida, J.; Teixeira, J. The space of state vectors: a hyperfinite approach. (English) Zbl 1070.81033 J. Math. Phys. 45, No. 1, 1-20 (2004). MSC: 81P99 03H10 47N50 81R99 × Cite Format Result Cite Review PDF Full Text: DOI
Benci, Vieri; Di Nasso, Mauro Alpha-theory: An elementary axiomatics for nonstandard analysis. (English) Zbl 1038.26019 Expo. Math. 21, No. 4, 355-386 (2003). Reviewer: W. A. J. Luxemburg (Pasadena) MSC: 26E35 03H05 × Cite Format Result Cite Review PDF Full Text: DOI
Marakulin, Valeri M. Equilibria with nonstandard prices in vector lattice overlapping generations economies. (English) Zbl 1054.91055 J. Math. Anal. Appl. 282, No. 2, 648-667 (2003). Reviewer: Vangelis Grigoroudis (Chania) MSC: 91B54 91B52 × Cite Format Result Cite Review PDF Full Text: DOI
Benci, Vieri; Di Nasso, Mauro Numerosities of labelled sets: A new way of counting. (English) Zbl 1028.03042 Adv. Math. 173, No. 1, 50-67 (2003). Reviewer: K.Iséki (Osaka) MSC: 03E65 03C20 03E35 03H05 × Cite Format Result Cite Review PDF Full Text: DOI
Halpern, Joseph Y. Characterizing the common prior assumption. (English) Zbl 1042.91062 J. Econ. Theory 106, No. 2, 316-355 (2002). Reviewer: Neculai Curteanu (Iaşi) MSC: 91B44 91A18 91B02 03B42 03B45 × Cite Format Result Cite Review PDF Full Text: DOI Link
Impens, Chris; Gavrea, Ioan A Leibniz differentiation formula for positive operators. (English) Zbl 1024.41013 J. Math. Anal. Appl. 271, No. 1, 175-181 (2002). Reviewer: N.M.Temme (Amsterdam) MSC: 41A35 41A25 41A60 × Cite Format Result Cite Review PDF Full Text: DOI
Andreev, P. V.; Gordon, E. I. An axiomatics for nonstandard set theory, based on von Neumann-Bernays-Gödel theory. (English) Zbl 0985.03043 J. Symb. Log. 66, No. 3, 1321-1341 (2001). MSC: 03E70 03H05 × Cite Format Result Cite Review PDF Full Text: DOI
Hrbacek, Karel Realism, nonstandard set theory, and large cardinals. (English) Zbl 0985.03065 Ann. Pure Appl. Logic 109, No. 1-2, 15-48 (2001). Reviewer: Robert A.Herrmann (Annapolis) MSC: 03H05 03E70 03E65 03E55 × Cite Format Result Cite Review PDF Full Text: DOI
Goldblatt, Robert Enlargements of functional algebras for the lambda calculus. (English) Zbl 0901.03016 Theor. Comput. Sci. 198, No. 1-2, 177-200 (1998). MSC: 03B40 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Y.; Wang, Shutang Developing a mathematical theory of computability which speaks the language of levels. (English) Zbl 0910.93011 Math. Comput. Modelling 27, No. 6, 23-32 (1998). Reviewer: B.F.Šmarda (Brno) MSC: 93A30 00A79 00A30 × Cite Format Result Cite Review PDF Full Text: DOI
Kreinovich, Vladik; Longpré, Luc Nonstandard (non-\(\sigma\)-additive) probabilities in algebraic quantum field theory. (English) Zbl 0891.60005 Int. J. Theor. Phys. 36, No. 7, 1601-1615 (1997). MSC: 60A99 81T99 × Cite Format Result Cite Review PDF Full Text: DOI
Reveillès, Jean-Pierre; Richard, Denis Back and forth between continuous and discrete for the working computer scientist. (English) Zbl 0860.68056 Ann. Math. Artif. Intell. 16, No. 1-4, 89-152 (1996). MSC: 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI
Manevitz, Larry M.; Weinberger, Shmuel Discrete circle actions: A note using non-standard analysis. (English) Zbl 0871.57039 Isr. J. Math. 94, 147-155 (1996). Reviewer: H.Abels (Bielefeld) MSC: 57S99 26E35 × Cite Format Result Cite Review PDF Full Text: DOI
Gudder, Stanley Hyperfinite quantum random walks. (English) Zbl 1080.81524 Chaos Solitons Fractals 7, No. 5, 669-679 (1996). MSC: 81P99 03H10 60K99 82B41 × Cite Format Result Cite Review PDF Full Text: DOI
Grigoriev, D.; Vorobjov, N. Complexity lower bounds for computation trees with elementary transcendental function gates. (English) Zbl 0877.68086 Theor. Comput. Sci. 157, No. 2, 185-214 (1996). MSC: 68R10 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Wicks, Keith R. Nonstandard analysis of ordered sets. (English) Zbl 0841.03040 Order 12, No. 3, 265-293 (1995). Reviewer: R.A.Herrmann (Annapolis) MSC: 03H05 06A06 06B30 54J05 06B23 06F30 54F05 × Cite Format Result Cite Review PDF Full Text: DOI
Rubio, J. E. A new variational principle. (English) Zbl 0816.49006 Optimization 29, No. 1, 55-72 (1994). MSC: 49J40 49J27 49J15 49J45 × Cite Format Result Cite Review PDF Full Text: DOI
Grainger, Arthur D. Flat sets. (English) Zbl 0812.03040 J. Symb. Log. 59, No. 3, 1012-1021 (1994). Reviewer: R.A.Herrmann (Annapolis) MSC: 03H05 × Cite Format Result Cite Review PDF Full Text: DOI
Roy, Marie-Françoise; Vorobjov, Nicolai Finding irreducible components of some real transcendental varieties. (English) Zbl 0808.68065 Comput. Complexity 4, No. 2, 107-132 (1994). MSC: 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI
Ozawa, Masanao Forcing in nonstandard analysis. (English) Zbl 0812.03041 Ann. Pure Appl. Logic 68, No. 3, 263-297 (1994). Reviewer: R.A.Herrmann (Annapolis) MSC: 03H05 03E40 × Cite Format Result Cite Review PDF Full Text: DOI
Gudder, Stanley Nonstandard Fock spaces. (English) Zbl 0806.46082 Int. J. Theor. Phys. 33, No. 4, 865-912 (1994). MSC: 46S20 46E20 46C05 × Cite Format Result Cite Review PDF Full Text: DOI
Friedman, Arye Nonstandard extension of quantum logic and Dirac’s bra-ket formalism of quantum mechanics. (English) Zbl 0795.03091 Int. J. Theor. Phys. 33, No. 2, 307-338 (1994). MSC: 03G12 03H10 81P10 × Cite Format Result Cite Review PDF Full Text: DOI
Vorob’ev, Nikolaj N. jun. The complexity of deciding consistency of systems of polynomials in exponent inequalities. (English) Zbl 0784.68046 J. Symb. Comput. 13, No. 2, 139-173 (1992). Reviewer: T.Recio (Santander) MSC: 68Q25 68W30 14Q99 14P05 03H15 13P99 × Cite Format Result Cite Review PDF Full Text: DOI
Masterson, J. A nonstandard result about path continuity. (English) Zbl 0771.03025 Acta Math. Hung. 59, No. 1-2, 147-149 (1992). MSC: 03H05 26E35 28E05 × Cite Format Result Cite Review PDF Full Text: DOI
Brinkmann, Hans-Berndt Function spaces, cartesian closedness and nonstandard methods. (Funktionenräume, kartesische Geschlossenheit und nonstandard Methoden.) (German) Zbl 0854.54017 Arch. Math. 59, No. 2, 146-156 (1992). Reviewer: H.Wolff (MR 93h:18015) MSC: 54B30 18D15 54J05 03H05 54C35 × Cite Format Result Cite Review PDF Full Text: DOI
Bertoglio, Nestor; Martinez, Servet Simple nests invariant by compact self-adjoint operators: A nonstandard approach. (English) Zbl 0767.47047 J. Math. Anal. Appl. 162, No. 2, 404-409 (1991). MSC: 47S20 47L30 × Cite Format Result Cite Review PDF Full Text: DOI
Pestov, Vladimir On the valuation field invented by A. Robinson and certain structures connected with it. (English) Zbl 0663.46083 Isr. J. Math. 74, No. 1, 65-79 (1991). Reviewer: V.Pestov MSC: 46S20 46S10 12J10 22E20 26E35 × Cite Format Result Cite Review PDF Full Text: DOI
Novák, Vilém Fuzzy logic, fuzzy sets, and natural languages. (English) Zbl 0741.03011 Int. J. Gen. Syst. 20, No. 1, 83-97 (1991). MSC: 03B52 03B65 × Cite Format Result Cite Review PDF Full Text: DOI
Belikov, S. A.; Samborskij, S. N. “Canard” cycles of fast-slow fields with one-dimensional slow component. (English. Russian original) Zbl 0811.34041 Math. Notes 49, No. 4, 339-346 (1991); translation from Mat. Zametki 49, No. 4, 3-14 (1991). MSC: 34E15 34C05 34C23 03H05 37C10 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Akhmerov, R. R. On periodic travelling waves of equations with viscosity coefficient of variable sign. (English) Zbl 0723.76034 Nonlinear Anal., Theory Methods Appl. 13, No. 7, 803-817 (1989). MSC: 76D33 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Molchanov, V. A. The use of double nonstandard enlargements in topology. (English. Russian original) Zbl 0718.54051 Sib. Math. J. 30, No. 3, 397-402 (1989); translation from Sib. Mat. Zh. 30, No. 3(175), 64-71 (1989). MSC: 54J05 03H05 54D35 54E52 54E15 54D30 × Cite Format Result Cite Review PDF Full Text: DOI
Belikov, S. A. Averaging of systems containing strongly oscillating functions of phase variables. (English. Russian original) Zbl 0716.34035 Ukr. Math. J. 41, No. 9, 1011-1016 (1989); translation from Ukr. Mat. Zh. 41, No. 9, 1173-1178 (1989). MSC: 34C10 34C25 34C29 34A45 × Cite Format Result Cite Review PDF Full Text: DOI
Richter, M. M.; Szabo, M. E. Nonstandard methods in combinatorics and theoretical computer science. (English) Zbl 0669.03040 Stud. Log. 47, No. 3, 181-191 (1989). Reviewer: M.M.Richter MSC: 03H99 68Q99 × Cite Format Result Cite Review PDF Full Text: DOI
Impens, C. Local microcontinuity of nonstandard polynomials. (English) Zbl 0644.30002 Isr. J. Math. 59, 81-97 (1987). MSC: 30C10 × Cite Format Result Cite Review PDF Full Text: DOI
Lewis, Alain A. On the construction of subinvariant weakly additive set-functions. (English) Zbl 0616.28013 Math. Soc. Sci. 13, 81-86 (1987). MSC: 28E05 28A10 × Cite Format Result Cite Review PDF Full Text: DOI
Kutateladze, S. S. A variant of nonstandard convex programming. (English) Zbl 0641.90064 Sib. Math. J. 27, 537-544 (1986). MSC: 90C25 03H10 × Cite Format Result Cite Review PDF Full Text: DOI
Herfort, Wolfgang N.; Manevitz, Larry M. Topological Frobenius groups. (English) Zbl 0577.22004 J. Algebra 92, 16-32 (1985). Reviewer: D.L.Grant MSC: 22A05 03H05 20E25 18B30 × Cite Format Result Cite Review PDF Full Text: DOI
Miller, Harry I.; Živaljević, Boško Remarks on the zero-one law. (English) Zbl 0599.60037 Math. Slovaca 34, 375-384 (1984). MSC: 60F20 03H10 × Cite Format Result Cite Review PDF Full Text: EuDML
Christian, Curt C. Gödel’s contribution to the justification of Leibniz’ notion of the infinitesimals. (English) Zbl 0577.01031 Hist. Math. 11, 215-219 (1984). Reviewer: P.Freguglia MSC: 01A60 03-03 × Cite Format Result Cite Review PDF Full Text: DOI
Ferro, Ruggero A note on the notion ”much bigger”. (Italian. English summary) Zbl 0567.06003 Rend. Sem. Mat. Univ. Padova 71, 223-227 (1984). MSC: 06A06 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Hurd, A. E. Existence of time evolutions of non-equilibrium states in statistical mechanics. (English) Zbl 0557.60088 Arch. Ration. Mech. Anal. 85, 201-212 (1984). Reviewer: K.Schürger MSC: 60K35 82B05 03H99 × Cite Format Result Cite Review PDF Full Text: DOI
Cutland, Nigel J. On the existence of solutions to stochastic differential equations on Loeb spaces. (English) Zbl 0544.60056 Z. Wahrscheinlichkeitstheor. Verw. Geb. 60, 335-357 (1982). MSC: 60H10 03H10 × Cite Format Result Cite Review PDF Full Text: DOI
Kamae, Teturo A simple proof of the ergodic theorem using nonstandard analysis. (English) Zbl 0499.28011 Isr. J. Math. 42, 284-290 (1982). MSC: 28D05 03H05 26E35 28D10 × Cite Format Result Cite Review PDF Full Text: DOI
Perkins, Edwin Weak invariance principles for local time. (English) Zbl 0465.60065 Z. Wahrscheinlichkeitstheor. Verw. Geb. 60, 437-451 (1982). MSC: 60J55 60G50 60J65 × Cite Format Result Cite Review PDF Full Text: DOI
Hurd, A. E. Nonstandard analysis and lattice statistical mechanics: A variational principle. (English) Zbl 0457.03065 Trans. Am. Math. Soc. 263, 89-110 (1981). MSC: 03H05 60B99 82B05 28A20 × Cite Format Result Cite Review PDF Full Text: DOI
Yasue, Kunio Stochastic quantization: A review. (English) Zbl 0435.60003 Int. J. Theor. Phys. 18, 861-913 (1979). MSC: 60-02 60K35 60Jxx 60G42 60G44 60B15 81P20 81-02 × Cite Format Result Cite Review PDF Full Text: DOI