Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

Keywords

Mathematics, Fixed-point theorem, Fixed-point index, Banach space, Nonlinear system

References

• Funktionalanalysis und Numerische MathematikLothar Collatz — 1964
• Topological Vector SpacesHelmut Schaefer — 1971
• On positive solutions of nonlinear elliptic eigenvalue problemsHendrik J. Kuiper — 1971

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• EXISTENCE AND LOCALIZATION RESULTS FOR THE NONLINEAR WAVE EQUATIONRadu Precup — 2004
• Abstract evolution equations, periodic problems and applicationsDaniel Daners, Pablo Koch‐Medina — 1992
• Limit Superior of Subdifferentials of Uniformly Convergent FunctionsAbderrahim Jourani — 1999
• Existence of a Ray of Eigenvalues for Equations with Discontinuous OperatorsВ. Н. Павленко, D. K. Potapov — 2001
• Eigenvalue comparisons for differential equations on a measure chain.Chuan Jen Chyan, John M. Davis, Johnny Henderson — 1998
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• A KRASNOSELSKII TYPE FIXED-POINT THEOREM ON CONVEX CONESG. Isac, Ioan A. Rus — 2007
• Natural and artificially controlled connections among steady states of a climate modelJesús Ildefonso Díaz Díaz, Víctor J. García — 2007
• Positive solutions, existence of smallest eigenvalues, and comparison of smallest eigenvalues of a fourth order three point boundary value problemSarah Schulz King — 2013
• Multistep Monotone Recursive MethodsLeonard J. Mirman — 2003
• EXISTENCE OF THE THIRD POSITIVE RADIAL SOLUTION OF A SEMILINEAR ELLIPTIC PROBLEM ON AN UNBOUNDED DOMAINBongsoo Ko, Yong-Hoon Lee — 2002
• On the Structure and Stability of the Set of Solutions of a Nonlocal Problem Modeling Ohmic HeatingJulián López-Gómez — 1998
• On positive reachability for diusion equationsThomas I. Seidman — 2006
• Convergence of Generic Infinite Products of Order-Preserving MappingsSimeon Reich, Alexander J. Zaslavski — 1999
• On condensing discrete dynamical systemsValter Šeda — 2000
• THE METHOD OF MONOTONE ITERATIONS FOR MIXED MONOTONE OPERATORSMircea-Dan Rus — 2013

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