Extension of the Method of Quasilinearization and Rapid Convergence

R. N. Mohapatra, K. Vajravelu and Y. Yin
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R. N. Mohapatra: University of Central Florida
K. Vajravelu: University of Central Florida
Y. Yin: Florida Institute of Technology

Journal of Optimization Theory and Applications, 1998, vol. 96, issue 3, No 9, 667-682

Abstract: Abstract An extension of the method of quasilinearization has been applied to first-order nonlinear initial-value problems (IVP for short). It has been shown that there exist monotone sequences which converge rapidly to the unique solution of IVP.

Keywords: Existence; nonlinear initial-value problems; upper and lower solutions; convergence; quasilinearization (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (2)

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DOI: 10.1023/A:1022620813436

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