Wen-Xia Wang, Xi-Lan Liu, "Positive Solutions of Operator Equations and Nonlinear Beam Equations with a Perturbed Loading Force," WSEAS Transactions on Mathematics, vol. 11, pp. -, 2012, DOI:
Wen-Xia Wang, Xi-Lan Liu. Positive Solutions of Operator Equations and Nonlinear Beam Equations with a Perturbed Loading Force.
WSEAS Transactions on Mathematics. 2012;11:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
Positive Solutions of Operator Equations and Nonlinear Beam Equations with a Perturbed Loading Force
Authors: ,
Abstract: In this paper we are concerned with the existence and uniqueness of positive solutions for an operator equation x = Ax + ëBx on an order Banach space, where A and B are nonlinear operators and ë is a parameter. By properties of cones we obtain that there exists a ë* > 0 such that the operator equation has a unique positive solution which is increasing in ë for ë ? [0, ë*], and further, we give an estimate for ë*. In addition, we discuss the existence and uniqueness of positive solutions for an elastic beam equation with three parameters and one perturbed loading force.
Keywords:
Nonlinear operator equation, positive solution, elastic beam equation, perturbed loading force
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 11, 2012DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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