(LB)-structure of spaces of germs of holomorphic functions.
We study the structure of spaces of germs of holomorphic functions on compact sets in Fréchet spaces for (LB) as well as for (Ω,Ω).
Some properties of sheaf-solutions of sheaf fuzzy control problems.
Convolution operators in infinite dimension.
A method for a solution of equilibrium problem and fixed point problem of a nonexpansive semigroup in Hilbert's spaces.
On the global attractors for a class of semilinear degenerate parabolic equations
We prove the existence and upper semicontinuity with respect to the nonlinearity and the diffusion coefficient of global attractors for a class of semilinear degenerate parabolic equations in an arbitrary domain.
New criteria for exponential stability of linear neutral differential systems with distributed delays
We present new explicit criteria for exponential stability of general linear neutral time-varying differential systems. Particularly, our results give extensions of the well-known stability criteria reported in [3,11] to linear neutral time-varying differential systems with distributed delays.
New Farkas-type constraint qualifications in convex infinite programming
This paper provides KKT and saddle point optimality conditions, duality theorems and stability theorems for consistent convex optimization problems posed in locally convex topological vector spaces. The feasible sets of these optimization problems are formed by those elements of a given closed convex set which satisfy a (possibly infinite) convex system. Moreover, all the involved functions are assumed to be convex, lower semicontinuous and proper (but not necessarily real-valued). The key result...
On uniqueness in electromagnetic scattering from biperiodic structures
Consider time-harmonic electromagnetic wave scattering from a biperiodic dielectric structure mounted on a perfectly conducting plate in three dimensions. Given that uniqueness of solution holds, existence of solution follows from a well-known Fredholm framework for the variational formulation of the problem in a suitable Sobolev space. In this paper, we derive a Rellich identity for a solution to this variational problem under suitable smoothness conditions on the material parameter. Under additional...
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