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Theoretical and numerical considerations on Bratu-type problems
2021
Studia Universitatis Babes-Bolyai Matematica
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"In this paper we present an heuristic introduction to Bratu problem and we give some variants of Bratu's theorem (G. Bratu, Sur les \'equations int\'egrales non lin\'eaires, Bulletin Soc. Math. France, 42(1914), 113-142). Using the positivity of Green's function, the monotone iterations technique and the contraction principle, some generalizations of Bratu's result are also given. Numerical aspects are also considered."
doi:10.24193/subbmath.2021.1.03
fatcat:qlykpfowincqhjehmvh6ifhmi4