A monotone method for constructing extremal solutions of second order scalar boundary value problems |
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| Institution: | 1. Brain and Mind Centre, Central Clinical School, Sydney Medical School, University of Sydney, Camperdown, Australia;2. NORMENT, KG Jebsen Centre for Psychosis Research, Division of Mental Health and Addiction, Oslo University Hospital, University of Oslo, Oslo, Norway;3. Telethon Kids Institute, The University of Western Australia, Perth, Australia;1. Section of Vascular Surgery, Department of Surgery, Jobst Vascular Research Laboratories, University of Michigan Medical School, Ann Arbor, MI 48109-5867;2. University of Virginia, Division of Vascular and Endovascular Surgery, Charlottesville, VA 800679 |
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| Abstract: | A monotone iterative method is given for the construction of extremal solutions to second order scalar boundary value problems, starting from a pair of upper and lower solutions. The fully nonlinear case is considered. |
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