Results 271 to 280 of about 79,761 (304)

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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AN APPLICATION OF THE TOPOLOGICAL DEGREE TO GRAVITATIONAL LENSES

Modern Physics Letters A, 1998
In this letter we provide a new proof of a general theorem on gravitational lenses, first proven by Burke (1981) for the special case of thin lenses. The theorem states that a transparent gravitational lens with non-singular mass distribution produces an odd number of images of a point source.
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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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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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AN ORDER DEGREE ALTERNATOR FOR ARBITRARY TOPOLOGIES

Parallel Processing Letters, 2008
An alternator is an arbitrary set of interacting processes that satisfies three conditions. First, if a process executes its critical section, then no neighbor of that process can execute its critical section at the same state. Second, along any infinite sequence of system states, each process will execute its critical section, an infinite number of ...
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Topological Degree Computation

2001
In this chapter we address the problem of computing topological degree of Lipschitz functions. From the knowledge of the topological degree one may ascertain whether there exists a zero of a function inside the domain, a knowledge that is practically and theoretically worthwile.
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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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On topological degree and Poincaré duality

1995
The intersection index, topological degree, and Maslov index of Lagrangian submanifolds can be defined by techniques of algebraic topology or differential topology. The author uses the Poincaré duality and the Thom's isomorphism to establish relations between the two processes of construction and gives some applications.
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Topological degree for supersymmetric chiral models

Physical Review D, 1985
For the case of an N-field supersymmetric chiral model we discuss the relationship between the Witten index, the topological degree, the winding number, and the degree of polynomials. Using results of classical analysis we can then place strong constraints on the Witten index of supersymmetric chiral models.
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On Ve-Degree and Ev-Degree Based Topological Properties of Silicon Carbide Si2C3-II[p, q]

Polycyclic Aromatic Compounds, 2022
Zheng-Qun Cai, Abdul Rauf, Muhammad Ishtiaq   +2 more
exaly