Solving polynomic operator equations in ordered banach spaces

DOI10.1080/01630569708816770zbMath0909.47005OpenAlexW2113631715MaRDI QIDQ4351401

David K. Ruch

Publication date: 28 August 1997

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569708816770

zbMATH Keywords

integral equationsiterative methoddecreasing polynomic operatorspolynomic operator equations

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Infinite-dimensional holomorphy (46G20) Equations and inequalities involving linear operators, with vector unknowns (47A50) Ordered normed spaces (46B40)

Cites Work

• Nonlinear eigenvalue problems with monotonically compact operators
• An extension of the Newton-Kantorovic method for solving nonlinear equations with an application to elasticity
• Positive solutions of a quadratic integral equation
• Quadratic equations and applications to Chandrasekhar's and related equations
• Synthesis of Polynomic Systems
• A New Approach to the H-Equation of Chandrasekhar
• On a Class of Nonlinear Integral Equations Arising in Transport Theory
• On uniformly contractive systems and quadratic equations in Banach space
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