Multiple solutions for nonlinear operator equations under the condition of two pairs of paralleled lower and upper solutions

DOI10.1016/j.camwa.2012.02.017zbMath1247.47046OpenAlexW1991845742MaRDI QIDQ453867

Yanbin Sang

Publication date: 30 September 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.02.017

zbMATH Keywords

conefixed point indexcondensing operatorparalleled lower and upper solutions

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Degree theory for nonlinear operators (47H11) Applications of operator theory to differential and integral equations (47N20)

Related Items (1)

On the positive operator solutions to an operator equation \(X-A^\ast X^{-t}A=Q\)

Cites Work

• Multiple solutions for nonlinear operators and applications
• Solutions for an operator equation under the conditions of pairs of paralleled lower and upper solutions
• Three positive fixed points of nonlinear operators on ordered Banach spaces
• Generalization for Amann's and Leggett--Williams' three-solution theorems and applications
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
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