An iterative method for solving operator equations
W. Solak (1971)
Annales Polonici Mathematici
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W. Solak (1971)
Annales Polonici Mathematici
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Z. Kowalski (1963)
Annales Polonici Mathematici
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B. Jovanović (1972)
Matematički Vesnik
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B. Jovanović (1972)
Matematički Vesnik
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Zbigniew Grande (2011)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In [4] W. Li and S.S. Cheng prove a Picard type existence and uniqueness theorem for iterative differential equations of the form y'(x) = f(x,y(h(x)+g(y(x)))). In this article I show some analogue of this result for a larger class of functions f (also discontinuous), in which a unique differentiable solution of considered Cauchy's problem is obtained.
Liljana Stefanovska, Beti Andonovic, Sonja Gegovska-Zajkova (2002)
Visual Mathematics
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D.J. Rose, P.J. Lanzkron, D.B. Szyld (1990/91)
Numerische Mathematik
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Jan Mandel (1985)
Numerische Mathematik
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Eberhard Schock (1989)
Numerische Mathematik
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Jean-Claude Ndogmo, Fazal Mahomed (2014)
Open Mathematics
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An expression for the coefficients of a linear iterative equation in terms of the parameters of the source equation is given both for equations in standard form and for equations in reduced normal form. The operator that generates an iterative equation of a general order in reduced normal form is also obtained and some other properties of iterative equations are established. An expression for the parameters of the source equation of the transformed equation under equivalence transformations...
Richard S. Varga, Gerhard Starke (1993)
Numerische Mathematik
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N. Levenberg, L. Reichel (1993/94)
Numerische Mathematik
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