Results 211 to 220 of about 4,387 (235)

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., Kartsatos, Athanassios G.   +1 more
openaire   +1 more source

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, Papageorgiou, Nikolaos, Staicu, Vasile   +2 more
openaire   +2 more sources

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
openaire   +1 more source

Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints

2012
POCI/MAT/55524 ...
Aizicovici, Sergiu, Papageorgiou, Nikolaos, Staicu, Vasile   +2 more
openaire   +1 more source

An Introduction to Nonlinear Analysis and Fixed Point Theory

, 2018
This book systematically introduces the theory of nonlinear analysis, providing an overview of topics such as geometry of Banach spaces, differential calculus in Banach spaces, monotone operators, and fixed point theorems. It also discusses degree theory,
Hemant Kumar Pathak, Pathak, Hemant Kumar   +1 more
exaly   +2 more sources

Degree Theory for Discontinuous Operators

RSME Springer Series, 2021
Ruben Figueroa Sestelo, Rodrigo Lopez Pouso   +1 more
exaly