Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques
Vol. CXXXIX, No. 34, pp. 43–73 (2009)
Regularly varying solutions of generalized Thomas-Fermi equations
T. Kusano, V. Maric and T. TanigawaDepartment of Applied Mathematics, Faculty of Science, Fukuoka University, Fukuoka, 841-0180, Japan
Serbian Academy of Sciences and Arts, Kneza Mihaila 35, 11000 Beograd, Serbia
Department of Mathematics, Faculty of Education, Kumamoto University, Kumamoto 860-8555, Japan
Abstract: The existence of slowly and regularly varying solutions of index 1 (in the sense of Karamata) and their asymptotics of generalized Thomas-Fermi equations presented below are studied.
Keywords: generalized Thomas-Fermi equations, regularly varying functions
Classification (MSC2000): 34A34; 26A12
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