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Růžičková, Helena

Boundary value problems for the mildly non-linear ordinary differential equation of the fourth order. (English) Zbl 0317.34012

Apl. Mat. 19, 216-231 (1974).
Reviewer: Helena Růžičková
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0317.34012

MSC:

34B15 Nonlinear boundary value problems for ordinary differential equations
65J99 Numerical analysis in abstract spaces
65L10 Numerical solution of boundary value problems involving ordinary differential equations
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\textit{H. Růžičková}, Apl. Mat. 19, 216--231 (1974; Zbl 0317.34012)
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References:

[1] Babuška I., Práger M., Vitásek E.: Numerical Processes in Differential Equations. Publishers of Technical Literature, Prague and Interscience Publishers, a Division of John Wiley & Sons, London - New York - Sydney 1966. · Zbl 0156.16003
[2] Gary J.: Computing Eigenvalues of Ordinary Differential Equations by Finite Differences. Mathematics of Computation, 19, No 91, (1965), p. 365-379. · Zbl 0131.14302
[3] Хао-Шоу: Однородные разностные схемы для уравнения четвертого порядка с разрывными коэффициентами. Ж. вычисл. матем. и матем. физ., 3, \? 5, (1963), p. 841-860. · Zbl 1145.93303
[4] Lees M.: Discrete Methods for Nonlinear two-point Boundary Value Problems. Numerical Solution of Partial Differential Equations, (J. H. Bramble, editor), p. 59-72, New York, Academic Press, 1966. · Zbl 0148.39206
[5] Marek I.: On Approximate Methods in Eigenvalue Problems. Čas. pro pěst. mat., 92 (1967), p. 89-104. · Zbl 0167.13903
[6] Růžičková H.: Boundary Value Problems for Ordinary Differential Equations of the 4th Order. (Czech). (Unpublished), CSc Thesis, VUT Brno, 1971.
[7] Самарский А. А.: Априорные оценки для разностных уравнений. Ж. вычисл, матем. и мат. физ., 1, \? 6, (1961), p. 972-1000. · Zbl 1160.68305
[8] Zlámal M.: On Mildly Nonlinear Elliptic Boundary Value Problems. Information Processing 68, p. 179-182, North-Holland Publ. Comp. - Amsterdam 1969. · Zbl 0204.48901
[9] Zlámal M.: Discretization and Error Estimates for Boundary Value Problems of the Second Order. Estrato da Calcolo, Vol. 4, fasc. 3, (1967), p. 541 - 550. · Zbl 0155.47803
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