Results 81 to 90 of about 4,758,376 (292)
Attractors for an Energy‐Damped Viscoelastic Plate Equation
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a class of non‐autonomous beam/plate equations with an integro‐differential damping given by a possibly degenerate memory and an energy damping given by a nonlocal ε$$ \varepsilon $$‐perturbed coefficient. For each ε>0$$ \varepsilon >0 $$, we show that the dynamical system generated by the weak solutions of the ...
V. Narciso +3 more
wiley +1 more source
Some extremal properties of section spaces of Banach bundles and their duals
International Journal of Mathematics and Mathematical Sciences, 2002 When X is a compact Hausdorff space and E is a real Banach space there is a considerable literature on extremal properties of the space C(X,E) of continuous E-valued functions on X. What happens if the Banach spaces in which the functions on X take their
D. A. Robbins
doaj +1 more source
Vector-valued holomorphic and harmonic functions
Concrete Operators, 2016 Holomorphic and harmonic functions with values in a Banach space are investigated. Following an approach given in a joint article with Nikolski [4] it is shown that for bounded functions with values in a Banach space it suffices that the composition with
Arendt Wolfgang
doaj +1 more source
The Automorphism Group of a Banach Principal Bundle with {1}-structure
, 2011 A {1}-structure on a Banach manifold M (with model space E) is an E-valued 1-form on M that induces on each tangent space an isomorphism onto E. Given a Banach principal bundle P with connected base space and a {1}-structure on P, we show that its ...
Klotz, Michael
core +1 more source
Fixed points and iteration of a nonexpansive mapping in a Banach space
, 1976 The following result is shown. If T is a nonexpansive mapping from a closed convex subset D of a Banach space into a compact subset of D and xl is any point in D, then the sequence {xj} defined by x,,+I = 2-1 (xn + Tx,,) converges to a fixed point of T ...
S. Ishikawa
semanticscholar +1 more source
Existence of Weak Solutions for a Degenerate Goursat‐Type Linear Problem
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT For a generalization of the Gellerstedt operator with mixed‐type Dirichlet boundary conditions to a suitable Tricomi domain, we prove the existence and uniqueness of weak solutions of the linear problem and for a generalization of this problem.
Olimpio Hiroshi Miyagaki +2 more
wiley +1 more source
Nonwandering operators in Banach space
International Journal of Mathematics and Mathematical Sciences, 2005 We introduce nonwandering operators in infinite-dimensional separable Banach space. They are new linear chaotic operators and are relative to hypercylic operators, but different from them.
Lixin Tian +3 more
doaj +1 more source
Optimal domain of $q$-concave operators and vector measure representation of $q$-concave Banach lattices [PDF]
, 2015 Given a Banach space valued $q$-concave linear operator $T$ defined on a $\sigma$-order continuous quasi-Banach function space, we provide a description of the optimal domain of $T$ preserving $q$-concavity, that is, the largest $\sigma$-order continuous
Delgado, O., Perez, E. A. Sanchez
core +1 more source
Linear $L$-positive sets and their polar subspaces
, 2012 In this paper, we define a Banach SNL space to be a Banach space with a certain kind of linear map from it into its dual, and we develop the theory of linear $L$-positive subsets of Banach SNL spaces with Banach SNL dual spaces.
A Brøndsted +9 more
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A forward–backward splitting algorithm for the minimization of non-smooth convex functionals in Banach space [PDF]
, 2008 We consider the task of computing an approximate minimizer of the sum of a smooth and a non-smooth convex functional, respectively, in Banach space. Motivated by the classical forward–backward splitting method for the subgradients in Hilbert space, we ...
K. Bredies
semanticscholar +1 more source