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Topological degree theories and nonlinear operator equations in Banach spaces

Nonlinear Analysis: Theory, Methods & Applications, 2008
Let \(X\) be a real Banach space, \(G_1\), \(G_2\) open and bounded such that \(0\in G_2\subset\bar{G}_2\subset G_1\). Let \(T:D(T)\to X\) be accretive such that \(0\in D(T)\) and \(T(0)=0\). Let \(C:D(C)\to X\) be compact or continuous and bounded with the resolvents of \(T\) compact. The authors use various degree theories to find zeros of \(T+C\) in
Adhikari, Dhruba R.   +1 more
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Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints

Memoirs of the American Mathematical Society, 2008
POCI/MAT/55524 ...
Aizicovid, Sergiu   +2 more
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Using degree theory to determine the minimum number of unstable operating points that a nonlinear circuit must possess

[Proceedings] 1992 IEEE International Symposium on Circuits and Systems, 2003
It has been shown previously that any structurally stable operating point (i.e., an operating point that does not disappear when the component values are perturbed slightly) of a nonlinear circuit must have an index of either +1 or -1. It is shown here that any operating point that has an index of -1 must be unstable.
M.M. Green, A.N. Willson
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Degree Theory for Discontinuous Operators

RSME Springer Series, 2021
Rodrigo López-Pouso
exaly  

Degree of Approximation for Nonlinear Multivariate Sampling Kantorovich Operators on Some Functions Spaces

Numerical Functional Analysis and Optimization, 2015
Danilo Costarelli, Gianluca Vinti
exaly  

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