Topological degree and A-proper operators
نویسندگان
چکیده
منابع مشابه
A topological degree for operators of generalized (S+)$(S_{+})$ type
As an extension of the Leray-Schauder degree, we introduce a topological degree theory for a class of demicontinuous operators of generalized (S+) type in real reflexive Banach spaces, based on the recent Berkovits degree. Using the degree theory, we show that the Borsuk theorem holds true for this class. Moreover, we study the Dirichlet boundary value problem involving the p-Laplacian by way o...
متن کاملOn ev-degree and ve-degree topological indices
Recently two new degree concepts have been defined in graph theory: ev-degree and ve-degree. Also the evdegree and ve-degree Zagreb and Randić indices have been defined very recently as parallel of the classical definitions of Zagreb and Randić indices. It was shown that ev-degree and ve-degree topological indices can be used as possible tools in QSPR researches . In this paper we d...
متن کاملProperness and Topological Degree for General Elliptic Operators
1.1. Normal solvability. Consider a linear operator L acting from a Banach space E0(Ω) to another space E(Ω). Here Ω denotes a domain in Rn, and the notation E(Ω) is used for a Banach space of functions defined in Ω. We are basically interested in the case where the domain Ω is unbounded though all results remain applicable and in many cases even simpler for bounded domains. Suppose that E0(G) ...
متن کاملProperness and Topological Degree for Nonlocal Reaction-Diffusion Operators
and Applied Analysis 3 where a± ∂F ∂u ( w±, w± ) , b± ∂F ∂U ( w±, w± ) . 1.9 We will now recall the main definitions and results concerning the essential spectrum and Fredholm property for linear operators and the properness of nonlinear operators. 1.1. Essential Spectrum and Fredholm Property Let us recall that a linear operator M : E1 → E2 acting from a Banach space E1 into another Banach spa...
متن کاملM-polynomial and degree-based topological indices
Let $G$ be a graph and let $m_{ij}(G)$, $i,jge 1$, be the number of edges $uv$ of $G$ such that ${d_v(G), d_u(G)} = {i,j}$. The {em $M$-polynomial} of $G$ is introduced with $displaystyle{M(G;x,y) = sum_{ile j} m_{ij}(G)x^iy^j}$. It is shown that degree-based topological indices can be routinely computed from the polynomial, thus reducing the problem of their determination in each particular ca...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1986
ISSN: 0024-3795
DOI: 10.1016/0024-3795(86)90316-2