Results 241 to 250 of about 351,014 (282)

Topological Degree: An Introduction

2013
In this chapter, we construct the Brouwer topological degree and extended it for compact perturbations of the identity in a Banach space, namely, the Leray–Schauder degree. Some topological consequences are presented. Moreover, we give applications to some boundary value problems.
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Topological Degree and Complementarity

2000
Certainly, when we speak about the application of topological methods to Complementarity Theory, the first subject, which must be considered, is the applications of topological degree to the study of complementarity problems.
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Nonresonance and Topological Degree

2016
In this chapter we show how the topological degree can be used to find periodic solutions of our second order differential equation. Many different situations will be considered, leading to the existence and also multiplicity of periodic solutions.
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Topological Degree Theory and Applications

2006
BROUWER DEGREE THEORY Continuous and Differentiable Functions Construction of Brouwer Degree Degree Theory for Functions in VMO Applications to ODEs Exercises LERAY-SCHAUDER DEGREE THEORY Compact Mappings Leray-Schauder Degree Leray-Schauder Degree for Multi-valued Mappings Applications to Bifurcations Applications to ODEs and PDEs Exercises DEGREE ...
Yeol Je Cho, Yu-Qing Chen
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Degree 3 Networks Topological Routing [PDF]

, 2009
Topological routing is a table free alternative to traditional routing methods. It is specially well suited for organized network interconnection schemes. Topological routing algorithms correspond to the type O(1), constant complexity, being very attractive for large scale networks.
Gutierrez Lopez, Jose Manuel, Riaz, M. Tahir, Pedersen, Jens Myrup, Cecilio, Sergio Labeage, Madsen, Ole Brun   +4 more
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Generalized Topological Degree and Bifurcation

1986
The main task of this paper is to present a generalized degree theory for continuous maps f: Ū→ℝn, where U ⊂ ℝm,m ≥ n is a bounded open subset such that f(x) ≠ 0 for all x ∈ ∂U - the boundary of U - (as usual U stands for the closure of U).
K. Geba, I. Massabó, A. Vignoli
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Characterizations of \((L,M)\)-fuzzy topology degrees

2018
Summary: In this paper, characterizations of the degree to which a mapping \(\mathcal{T}\,:\,L^X\to M\) is an \((L,M)\)-fuzzy topology are studied in detail. What is more, the degree to which an \(L\)-subset is an \(L\)-open set with respect to \(\mathcal{T}\) is introduced.
Zhong, Yu, Shi, Fu-Gui
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Appendix A. Topological degree method

2003
In this appendix we shall define the degree of a map in R n and derive some useful properties [34,81,93].
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The Topological Degree of A-Proper Maps

Canadian Journal of Mathematics, 1971
Recently several fixed-point theorems have been proved for new classes of non-compact maps between Banach spaces. First, Petryshyn [15] generalized the concept of compact and quasi-compact maps when he introduced the P-compact maps and proved a fixed-point theorem for this class of maps.
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Topological degree and a nonlinear Dirichlet problem

Nonlinear Analysis: Theory, Methods & Applications, 2003
The author studies the existence of multiple solutions to a Dirichlet boundary value problem of the form \(-u''(t)=g(u(t))-\lambda f(t), \quad u(0)=u(1)=0\), where \(\lambda >0\), the function \(f\) is non-negative and increasing and \(f(0)>0\). Moreover, together with other technical assumptions, it is required that \(g\) is positive and monotone in a
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