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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 2, Pages 431–440
(Mi smj37)
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Existence of maximal and minimal solutions to a boundary value problem for the equation of the bending of an elastic beam
Sh. Hong, S. Xie, Ch. Zhang, Z. He Hangzhou Normal University
Abstract:
By introducing a partial order and using the Mönch fixed point theorem, we establish the existence of maximal and minimal solutions in Banach spaces to a boundary value problem for the equation of the bending of an elastic beam.
Keywords:
ordered Banach space, maximal and minimal solutions, fixed point, beam equation.
Received: 04.07.2005 Revised: 03.04.2006
Citation:
Sh. Hong, S. Xie, Ch. Zhang, Z. He, “Existence of maximal and minimal solutions to a boundary value problem for the equation of the bending of an elastic beam”, Sibirsk. Mat. Zh., 48:2 (2007), 431–440; Siberian Math. J., 48:2 (2007), 346–353
Linking options:
https://www.mathnet.ru/eng/smj37 https://www.mathnet.ru/eng/smj/v48/i2/p431
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