A ridiculously simple and explicit implicit function theorem.
Sokal, Alan D. (2009)
Séminaire Lotharingien de Combinatoire [electronic only]
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Sokal, Alan D. (2009)
Séminaire Lotharingien de Combinatoire [electronic only]
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Argyros, Ioannis K., Hilout, Saäid (2008)
The Journal of Nonlinear Sciences and its Applications
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Dauylbaev, M.K. (2000)
Siberian Mathematical Journal
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Demidenko, G.V. (2001)
Sibirskij Matematicheskij Zhurnal
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Cemal Belen, Mustafa Yildirim (2012)
Kragujevac Journal of Mathematics
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M. S. Sgibnev (2004)
Publications de l'Institut Mathématique
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Shlapunov, A.A. (2002)
Sibirskij Matematicheskij Zhurnal
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Roberto Sánchez-Peregrino (2000)
Acta Arithmetica
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0. Introduction. The numbers introduced by Stirling in 1730 in his Methodus differentialis [11], subsequently called “Stirling numbers” of the first and second kind, are of the greatest utility in the calculus of finite differences, in number theory, in the summation of series, in the theory of algorithms, in the calculation of the Bernstein polynomials [9]. In this study, we demonstrate some properties of Stirling numbers of the second kind similar to those satisfied by binomial coefficients;...
Barrenechea, A.L., Peña, C.C. (2002)
Acta Mathematica Universitatis Comenianae. New Series
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Argyros, Ioannis K., Hilout, Said (2009)
The Journal of Nonlinear Sciences and its Applications
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Wojciech Zajączkowski (1996)
Banach Center Publications
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We prove existence of weak solutions to nonlinear parabolic systems with p-Laplacians terms in the principal part. Next, in the case of diagonal systems an -estimate for weak solutions is shown under additional restrictive growth conditions. Finally, -estimates for weakly nondiagonal systems (where nondiagonal elements are absorbed by diagonal ones) are proved. The -estimates are obtained by the Di Benedetto methods.
Linke, Yu.Yu., Sakhanenko, A.I. (2001)
Sibirskij Matematicheskij Zhurnal
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Aliev, A.V., Tarnavskij, G.A. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Nazarov, S. A., Slutskij, A. S. (2002)
Sibirskij Matematicheskij Zhurnal
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Volchkov, Vit.V. (2002)
Sibirskij Matematicheskij Zhurnal
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