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Existence and bifurcation of solutions for Fredholm operators with nonlinear perturbations

Published online by Cambridge University Press:  22 January 2016

Yasuo Niikura
Yasuo Niikura*
Affiliation:
Department of Mathematics, Faculty of Science Nagoya University
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In this paper we shall discuss nonlinear eigenvalue problems for the equations of the form

where L is a linear operator on a real Banach space X with non-zero kernel, K(-) is a linear or nonlinear operator on X and M(·, ·) is an operator from X X R into X. Equations of the form (1) arise in various fields of physics and engineering.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 86 , June 1982 , pp. 249 - 271
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1982

References

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