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.

UDC: 517.91

Received: 04.07.2005
Revised: 03.04.2006

 English version: Siberian Mathematical Journal, 2007, 48:2, 346–353

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