Computation of displacements for nonlinear elastic beam models using monotone iterations.
Korman, Philip (1988)
International Journal of Mathematics and Mathematical Sciences
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Korman, Philip (1988)
International Journal of Mathematics and Mathematical Sciences
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Ahmad, Bashir, Nieto, Juan J. (2007)
Boundary Value Problems [electronic only]
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C.V. Pao (1985)
Numerische Mathematik
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Liu, Xinzhi, McRae, Farzana A. (2001)
Journal of Applied Mathematics and Stochastic Analysis
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R. Kannan, M.B. Ray (1984)
Numerische Mathematik
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S. L. Singh, J. H. M. Whitfield (1988)
Colloquium Mathematicae
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Leung, Anthony W., Murio, Diego A. (1980)
Portugaliae mathematica
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Weinian Zhang (1997)
Annales Polonici Mathematici
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The concept of characteristic interval for piecewise monotone functions is introduced and used in the study of their iterative roots on a closed interval.
Rudolf L. Voller (1992)
Applications of Mathematics
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In this paper we present a new theorem for monotone including iteration methods. The conditions for the operators considered are affine-invariant and no topological properties neither of the linear spaces nor of the operators are used. Furthermore, no inverse-isotony is demanded. As examples we treat some systems of nonlinear ordinary differential equations with two-point boundary conditions.
Cabada, Alberto, Nieto, Juan J., Heikkilä, Seppo (1998)
International Journal of Mathematics and Mathematical Sciences
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Peter Volkmann, Götz Alefeld (1985)
Numerische Mathematik
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Yuan-Ming Wang (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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This paper is concerned with the asymptotic behavior of the finite difference solutions of a class of nonlinear reaction diffusion equations with time delay. By introducing a pair of coupled upper and lower solutions, an existence result of the solution is given and an attractor of the solution is obtained without monotonicity assumptions on the nonlinear reaction function. This attractor is a sector between two coupled quasi-solutions of the corresponding “steady-state” problem, which...