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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 2, Pages 431–440 (Mi smj37)  

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
References:
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
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 2, Pages 346–353
DOI: https://doi.org/10.1007/s11202-007-0037-x
Bibliographic databases:
UDC: 517.91
Language: Russian
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
Citation in format AMSBIB
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\paper Existence of maximal and minimal solutions to a~boundary value problem for the equation of the bending of an elastic beam
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\jour Siberian Math. J.
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