Remainders of power series.
McCall, J.D., Fricke, G.H., Beyer, W.A. (1979)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Computation of radial solutions of semilinear equations.”
Remainders of power series.
Further remarks on formal power series
Marcin Borkowski, Piotr Maćkowiak (2012)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we present a considerable simplification of the proof of a theorem by Gan and Knox, stating a sufficient and necessary condition for existence of a composition of two formal power series. Then, we consider the behavior of such series and their (formal) derivatives at the boundary of the convergence circle, obtaining in particular a theorem of Bugajewski and Gan concerning the structure of the set of points where a formal power series is convergent with all its derivatives. ...
On the complex structure of positive solutions to Matukuma-type equations
Patricio Felmer, Alexander Quaas, Moxun Tang (2009)
Annales de l'I.H.P. Analyse non linéaire
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Multiple positive solutions of singular -Laplacian problems by variational methods.
Perera, Kanishka, Zhang, Zhitao (2005)
Boundary Value Problems [electronic only]
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The numerical method for solving differential equations of Lane-Emden type by Padé approximation.
Yiğider, Muhammed, Tabatabaei, Khatereh, Çelik, Ercan (2011)
Discrete Dynamics in Nature and Society
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Generalizations of the Finite Element Method
Marc Schweitzer (2012)
Open Mathematics
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This paper is concerned with the generalization of the finite element method via the use of non-polynomial enrichment functions. Several methods employ this general approach, e.g. the extended finite element method and the generalized finite element method. We review these approaches and interpret them in the more general framework of the partition of unity method. Here we focus on fundamental construction principles, approximation properties and stability of the respective numerical...
Investigation of a certain system of singular integral equations of arbitrary power
W. Leksiński, W. Żakowski (1975)
Annales Polonici Mathematici
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A note on formal power series
Xiao-Xiong Gan, Dariusz Bugajewski (2010)
Commentationes Mathematicae Universitatis Carolinae
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In this note we investigate a relationship between the boundary behavior of power series and the composition of formal power series. In particular, we prove that the composition domain of a formal power series is convex and balanced which implies that the subset consisting of formal power series which can be composed by a formal power series possesses such properties. We also provide a necessary and sufficient condition for the superposition operator to map into itself or to...
On composition of formal power series.
Gan, Xiao-Xiong, Knox, Nathaniel (2002)
International Journal of Mathematics and Mathematical Sciences
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