Search
Search Results
-
Existence and uniqueness of S-asymptotically periodic α-mild solutions for neutral fractional delayed evolution equation
In this paper, we investigate a class of abstract neutral fractional delayed evolution equation in the fractional power space. With the aid of the...
-
An Inverse Map** Theorem in Fréchet-Montel Spaces
Influenced by a recent note by M. Ivanov and N. Zlateva, we prove a statement in the style of Nash-Moser-Ekeland theorem for map**s from a...
-
Subdifferentiation of Regularized Functions
We study the Moreau regularization process for functions satisfying a general growth condition on general Banach spaces. We give differentiability...
-
On stepanov Type differentiability Theorems
The main result shows that the Rademacher theorem proved by J. Lindenstrauss and D. Preiss [
13 ] (which says that, for some pairs X , Y of Banach... -
A geometry characteristic of Banach spaces with c 1-norm
Let E be a Banach space with the c 1 -norm ‖·‖ in E \{0}, and let S ( E ) = { e ∈ E : ‖ e ‖ = 1}. In this paper, a geometry characteristic for E is presented...
-
Crystal Frameworks, Matrix-valued Functions and Rigidity Operators
An introduction and survey is given of some recent work on the infinitesimal dynamics of crystal frameworks, that is, of translationally periodic...
-
Localized nonlinear functional equations and two sampling problems in signal processing
Let 1 ≤ p ≤ ∞. In this paper, we consider solving a nonlinear functional equation
f ( x ) = y ,
where x , y belong to ℓ p and f has continuous bounded...
-
Maximal regularity, the local inverse function theorem, and local well-posedness for the curve shortening flow
Local well-posedness of the curve shortening flow, that is, local existence, uniqueness and smooth dependence of solutions on initial data, is proved...
-
Differential calculus and integration of generalized functions over membranes
In this paper we continue the development of the differential calculus started in Aragona et al. (Monatsh. Math. 144:13–29,
2005 ). Guided by the... -
Direct Limits of Infinite-Dimensional Lie Groups
Many infinite-dimensional Lie groups G of interest can be expressed as the union G = ∪n∈ℕ G n of an ascending...
-
A compact null set containing a differentiability point of every Lipschitz function
We prove that in a Euclidean space of dimension at least two, there exists a compact set of Lebesgue measure zero such that any real-valued Lipschitz...
-
The smooth Banach submanifold B*(E, F) in B(E, F)
Let E , F be two Banach spaces, B ( E , F ), B + ( E , F ), Φ( E , F ), S Φ( E , F ) and R ( E , F ) be bounded linear, double splitting, Fredholm, semi-Frdholm and...
-
Smooth and path connected Banach submanifold Σr of B(E,F) and a dimension formula in B(ℝn,ℝm)
Given two Banach spaces E,F , let B ( E,F ) be the set of all bounded linear operators from E into F , Σ r the set of all operators of finite rank r in B ( E,F...
-
Complete rank theorem of advanced calculus and singularities of bounded linear operators
Let E and F be Banach spaces, f : U ⊂ E → F be a map of C r ( r ⩾ 1), x 0 ∈ U , and f t ( x 0 ) denote the FréLechet differential of f at x ...
-
Curves with finite turn
In this paper we study the notions of finite turn of a curve and finite turn of tangents of a curve. We generalize the theory (previously developed...