On Flexible Sequences

Anishchenko, V.S., Vadivasova, T.E., Strelkova, G.I.: Deterministic Nonlinear Systems. A Short Course. Springer Series in Synergetics, Springer, Cham (2014)

Diener, F., Reeb, G.: Analyse Non Standard. Hermann, Paris (1989)

Dinis, B., van den Berg, I.: Algebraic properties of external numbers. J. Log. Anal. 3(9), 1–30 (2011)

Dinis, B., van den Berg, I.: Axiomatics for the external numbers of nonstandard analysis. J. Log. Anal. 9(7), 1–47 (2017)

Dinis, B., van den Berg, I.: On the quotient class of non-archimedean fields. Indag. Math. (N.S.) 28(4), 784–795 (2017)

Dinis, B., van den Berg, I.: Characterization of distributivity in a solid. Indag. Math. (N.S.) 29(2), 580–600 (2018)

Eckhaus, W.: Asymptotic Analysis of Singular Perturbations Studies in Mathematics and Its Applications, vol. 9. North-Holland Publishing Co., Amsterdam-New York (1979)

Hardy, G.H.: Orders of Infinity: The ‘Infinitärcalcül’ of Paul Du Bois-Reymond, 2nd ed. Cambridge Univ. Press, Cambridge (1924)

Justino, J., van den Berg, I.: Cramer’s rule applied to flexible systems of linear equations. Electron. J. Linear Algebra 24, 126–152 (2012/13)

Kanovei, V., Reeken, M.: Nonstandard Analysis, Axiomatically. Springer Monographs in Mathematics. Springer, Berlin (2004)

Koudjeti, F.: Elements of External Calculus with an Application to Mathematical Finance. Ph.D. Thesis, Labyrinth Publications, Capelle a/d IJssel, The Netherlands (1995)

Koudjeti, F., van den Berg, I.: Neutrices, External Numbers and External Calculus. Nonstandard Analysis in Practice, 145–170. Universitext. Springer, Berlin (1995)

Lobry, C., Sari, T., Touhami, S.: On Tykhonov’s theorem for convergence of solutions of slow and fast systems. Electron. J. Differ. Equ. 19, 1–22 (1998)

Nelson, E.: Internal set theory: a new approach to nonstandard analysis. Bull. Am. Math. Soc. 83(6), 1165–1198 (1977)

Nelson, E.: The syntax of nonstandard analysis. Ann. Pure Appl. Logic 38(2), 123–134 (1988)

Robinson, A.: Non-Standard Analysis. North-Holland Publishing Co., Amsterdam (1966)

Tihonov, A.: Systems of differential equations containing a small parameter in the derivatives. Mat. Sbornik N. S. 31(73), 575–586 (1952)

van den Berg, I.: Nonstandard Asymptotic Analysis Lecture Notes in Mathematics, 1249. Springer, Berlin (1987)

van den Berg, I.P.: External borders and strongly open sets. In: Benoît, É, Furter, et J.-P. (eds.) Des Nombres Et Des Mondes Editions Hermann, Paris, 69–86 (2012)

van den Berg, I.: Asymptotics of families of solutions of nonlinear difference equations. Log. Anal. 1(2), 153–185 (2008)

van den Berg, I.: A decomposition theorem for neutrices. Ann. Pure Appl. Logic 161(7), 851–865 (2010)

van den Berg, I., Diener, M.: Diverses applications du lemme de Robinson en analyse nonstandard. C. R. Acad. Sci. Paris Sé,r. I Math. 293(10), 501–504 (1981)

van der Corput, J.G.: Introduction to the neutrix calculus. J. Analyse Math. 7, 281–399 (1959)

Van Dyke, M.: Perturbation Methods in Fluid Mechanics. Annotated Edition. The Parabolic Press, Stanford (1975)