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On the solution of the de la Vallee Poussin problem by using quasilinearization. (English) Zbl 0404.34020


MSC:

34B15 Nonlinear boundary value problems for ordinary differential equations
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[1] and , Quasilinearization and non-linear boundary-value problems, Rand Corporation, Santa Monica, California (1965).
[2] Lezioni sui procedimenti di quasilinearizzatione, C.I.M.E. IV Ciclo, Roma (1965).
[3] Šeda, J. of Math. Anal. and Appl. 23 pp 130– (1968)
[4] Die Anwendung der Quasilinearisation auf gewisse Probleme aus der Theorie der gewöhnlichen Differentialgleichungen 3. Ordnung, Archivum Mathematicum, Brno 189–198 (1965). · Zbl 0199.14903
[5] Studio, con un procedimento di quasilinearizzatione, del probleme: u(IV) = = f( x, u, ú, ú’, ú), u(0) = ú(0)=0, u(a)=ú(a)=0, Le Matematiche-Seminario Matematico dell’ Universita di Catania XXIV, 66–91 (1969).
[6] Šlahor, Acta F.R.N. Univ. Comen.-Mathematica pp 15– (1975)
[7] Levin, Uspechi mat. nauk pp 43– (1969)
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