A New Method for Proving Existence Theorems for Abstract Hammerstein Equations

Joint Authors

Minjibir, M. S.
Chidume, Charles E.
Chidume, C. O.

Source

Abstract and Applied Analysis

Issue

Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2015-04-30

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Chidume, Charles E.& Chidume, C. O.& Minjibir, M. S.. 2015. A New Method for Proving Existence Theorems for Abstract Hammerstein Equations. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1052078

Modern Language Association (MLA)

Chidume, Charles E.…[et al.]. A New Method for Proving Existence Theorems for Abstract Hammerstein Equations. Abstract and Applied Analysis No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1052078

American Medical Association (AMA)

Chidume, Charles E.& Chidume, C. O.& Minjibir, M. S.. A New Method for Proving Existence Theorems for Abstract Hammerstein Equations. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1052078

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1052078