A New Method for Proving Existence Theorems for Abstract Hammerstein Equations

A New Method for Proving Existence Theorems for Abstract Hammerstein Equations

An abstract Hammerstein equation is an equation of the form u + K F u = 0 . A new method is introduced to prove the existence of a solution of this equation where K and F are nonlinear accretive (monotone) operators. The method does not involve the complicated technique of factorizing a linear map v...

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Veröffentlicht in:Abstract and Applied Analysis 2015, Vol.2015 (2015), p.867-873
Hauptverfasser: Chidume, Charles E., Minjibir, M. S., Chidume, C. O.
Format: Artikel
Sprache:eng
Schlagworte:
Existence theorems
Hilbert space
Mathematical analysis
Mathematical research
Nonlinearity
Operators
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Zusammenfassung:An abstract Hammerstein equation is an equation of the form u + K F u = 0 . A new method is introduced to prove the existence of a solution of this equation where K and F are nonlinear accretive (monotone) operators. The method does not involve the complicated technique of factorizing a linear map via a Hilbert space and does not involve the use of deep variational techniques.
ISSN:1085-3375
1687-0409
DOI:10.1155/2015/627260