The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 54-107
Full Name: Xilan Liu
Position: Professor
Age: ON
Sex: Female
Address: Department of Mathematics and Statistics, Qinghai University for Nationalities, Xining Bayi Middle Road, No 3, Qinghai
Country: CHINA
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E-mail address: doclanliu2002@yahoo.com.cn
Other E-mails: doclanliu@163.com
Title of the Paper: Positive Solutions of Operator Equations and Nonlinear Beam Equations with a Perturbed Loading Force
Authors as they appear in the Paper: Xilan Liu Wenxia Wang
Email addresses of all the authors: doclanliu2002@yahoo.com.cn,wwxgg@126.com
Number of paper pages: 11
Abstract: In this paper we are concerned with the existence and uniqueness of positive solutions for an operator equation $x=Ax+\lambda Bx$ on an order Banach space, where $A$ and $B$ are nonlinear operators and $\lambda$ is a parameter. By properties of cones we obtain that there exists a $\lambda^*>0$ such that the operator equation has a unique positive solution which is increasing in $\lambda$ for $\lambda \in[0,\lambda^*]$, and further, we give an estimate for $\lambda^*$. 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
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How Did you learn about congress: Functional analysis, differential equation
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