This article is concerned with conjugacy problems arising in homeomorphisms group, Hom(F ), of non-compact subsets F of normed vector spaces E. Given two homeomorphisms f and g in Hom(F ), it is shown how the existence of a conjugacy may be related to the existence of a common generalized eigenfunction of the associated Koopman operators. This common eigenfunction serves to build a topology on ...

We study first order differential operators P = P(D) with constant coefficients. The main question is under what conditions a generalized Poincaré inequality holds D(f − f 0) L p ≤ C Pf L p , for some f 0 ∈ ker P. We show that the constant rank condition is sufficient, Theorem 3.5. The concept of the Moore-Penrose generalized inverse of a matrix comes into play.

In this paper, the chaotic behavior of a set-valued mapping F : X → 2 , where X is a compact space, is investigated. The existence of the generalized shadowing property in the hyperspace 2 is proved. Based on the generalized shadowing property of the set-valued mappings F and the assumption of the existence of an unstable chain recurrent point of the mapping F , it is shown that the Bernoulli s...

Explicit expressions of UMVUE for variance components are obtained for a class of models that include balanced cross nested random models. These estimators are used to derive tests for the nullity of variance components. Besides the usual F tests, generalized F tests will be introduced. The separation between both types of tests will be based on a general theorem that holds even for mixed model...

and Applied Analysis 3 Ma and Xu 15 also applied the fixed point theorem in cones to obtain some results on the existence of generalized positive solutions. It is the purpose of this paper to show some new results on the existence and multiplicity of generalized positive solutions of 1.4 , 1.8 by Dancer’s global bifurcation theorem. To wit, we get the following. Theorem 1.3. Let h : 2 → 0,∞ , f...

'The ;~nisotropic displacement-displacemenlent correlation function for the two types o f pairs o f nearest neighhours in solid hcp hydrogen and deuterium is studied. Two mechanisms contributing to the deviation o f the pail-distribution function from axial symmetry around the pair asisare ~dentified. The one is clue to the anisotropy o f the phonon dispersion relations and is treated in 21 gen...

Kamps (1995a,b) has introduced generalized order statistics as random variables having certain joint density function which includes as a special case the joint density functions of many models of ordered random variables. Let F be an absolutely continuous distribution function with density function f The random variables X 1 n m̃ k X n n m̃ k are called generalized order statistics based on F if...

In this paper, the Exp-function method is used to seek generalized solitonary solutions of Riccati equation. Based on the generalized solitonary solutions of Riccati equation, some new exact solutions of the the classical Drinfel’d-Sokolov-Wilson equation are obtained by F-expansion method. It is shown that the F-expansion method combined with Expfunction method (F-Exp method) provides a straig...

let $g=(v,e)$ be a connected graph. the eccentric connectivity index of $g$, $xi^{c}(g)$, is defined as $xi^{c}(g)=sum_{vin v(g)}deg(v)ec(v)$, where $deg(v)$ is the degree of a vertex $v$ and $ec(v)$ is its eccentricity. the eccentric distance sum of $g$ is defined as $xi^{d}(g)=sum_{vin v(g)}ec(v)d(v)$, where $d(v)=sum_{uin v(g)}d_{g}(u,v)$ and $d_{g}(u,v)$ is the distance between $u$ and $v$ ...

In this paper we prove that the Newton method applied to the generalized equation y ∈ f(x) + F (x) with a C function f and a set-valued map F acting in Banach spaces, is locally convergent uniformly in the parameter y if and only if the map (f +F ) is Aubin continuous at the reference point. We also show that the Aubin continuity actually implies uniform Q-quadratic convergence provided that th...