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Existence and uniqueness regions for solutions of nonlinear equations

Published online by Cambridge University Press:  17 April 2009

A.L. Andrew
A.L. Andrew
Affiliation:
Department of Mathematics, La Trobe University, Bundoora, Victoria.
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Abstract

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A refinement of the Newton-Kantorovich Theorem, which has many-potential applications in existence - uniqueness theory, is used to strengthen a result of Lancaster and Rokne concerning existence and uniqueness regions for zeros of operator polynomials.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 19 , Issue 2 , October 1978 , pp. 277 - 282
Copyright
Copyright © Australian Mathematical Society 1979

References

[1]Andrew, A.L., “Eigenvalue problems with nonlinear dependence on the eigenvalue parameter. A bibliography” (Technical Report, Department of Mathematics, La Trobe University, Bundoora, Victoria, 1974).Google Scholar
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