Results 41 to 50 of about 70,365 (263)

Green functions and propagation of waves in strongly inhomogeneous media

, 2004
We show that Green functions of second-order differential operators with singular or unbounded coefficients can have an anomalous behaviour in comparison to the well-known properties of Green functions of operators with bounded coefficients.
Bialynicki-Birula I, Dalton B J, Frisch U, Glauber R J, Haba Z, Hadamard J, Ikeda N, Knöll L, Knöll L Scheel S Vogel W Welsch D-G, Landau L D, Maurin K, Morse P M, Simon B, Yariv A, Z Haba   +14 more
core   +1 more source

Approximation by interpolation spectral subspaces of operators with discrete spectrum

Математичні Студії, 2021
The paper describes approximation properties of interpolation spectral subspaces of an unbounded operator $A$ with discrete spectrum $\sigma(A)$ in a Banach space $\mathfrak X$, as well as ones corresponding subspaces ${\mathcal E}_{q,p}^{\nu}(A)$ of ...
M.I. Dmytryshyn
doaj   +1 more source

Koplienko Trace Formula

, 2012
Koplienko gave a trace formula for perturbations of self-adjoint operators by operators of Hilbert-Schmidt class $\mathcal{B}_2(\mathcal{H})$. Recently Gesztesy, Pushnitski and Simon gave an alternative proof of the trace formula when the operators ...
Chattopadhyay, Arup, Sinha, Kalyan B.
core   +1 more source

Structural insights into an engineered feruloyl esterase with improved MHET degrading properties

FEBS Letters, EarlyView.
A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa, Konstantinos Makryniotis, Theofani‐Iosifina Sousani, Evangelos Topakas, Vangelis Daskalakis, Maria Dimarogona   +5 more
wiley   +1 more source

On operators of stochastic differentiation on spaces of regular test and generalized functions of Lévy white noise analysis

Karpatsʹkì Matematičnì Publìkacìï, 2014
The operators of stochastic differentiation, which are closely related with the extended Skorohod stochastic integral and with the Hida stochastic derivative, play an important role in the classical (Gaussian) white noise analysis.
M.M. Dyriv, N.A. Kachanovsky
doaj   +1 more source

Discrete–Time Output Observers for Boundary Control Systems

International Journal of Applied Mathematics and Computer Science, 2021
The paper studies the output observer design problem for a linear infinite-dimensional control plant modelled as an abstract boundary input/output control system.
Emirsajłow Zbigniew
doaj   +1 more source

Formation Coordination Control of Leaderless Multi-AUV System with Double Independent Communication Topology and Nonconvex Control Input Constraints

Journal of Marine Science and Engineering, 2023
In this paper, the formation coordination control of discrete-time distributed leaderless multiple autonomous underwater vehicle (AUV) system with double independent position–velocity communication topology and control inputs on a nonconvex set is ...
Zheping Yan, Lidong Yue, Jiajia Zhou, Xiaoli Pan, Chao Zhang   +4 more
doaj   +1 more source

TRAIL‐PEG‐Apt‐PLGA nanosystem as an aptamer‐targeted drug delivery system potential for triple‐negative breast cancer therapy using in vivo mouse model

Molecular Oncology, EarlyView.
Aptamers are used both therapeutically and as targeting agents in cancer treatment. We developed an aptamer‐targeted PLGA–TRAIL nanosystem that exhibited superior therapeutic efficacy in NOD/SCID breast cancer models. This nanosystem represents a novel biotechnological drug candidate for suppressing resistance development in breast cancer.
Gulen Melike Demirbolat, Aslihan Kucuk, Omer Erdogan, Samed Ozer, Bensu Kozan, Tugba Cuceli, Erkan Gumus, Evrim Cevik, Ozge Cevik   +8 more
wiley   +1 more source

Existence of solutions to quasilinear elliptic equations in the Musielak–Orlicz–Sobolev spaces for unbounded domains

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
The paper considers the existence of solutions of the Dirichlet problem for nonlinear elliptic equations of the second order in unbounded domains. Restrictions on the structure of quasilinear equations are formulated in terms of a special class of convex
Larisa Mikhailovna Kozhevnikova, Anastasiya Pavlovna Kashnikova   +1 more
doaj   +1 more source

Markov Moment Problem and Sandwich Conditions on Bounded Linear Operators in Terms of Quadratic Forms

Mathematics, 2022
As is well-known, unlike the one-dimensional case, there exist nonnegative polynomials in several real variables that are not sums of squares. First, we briefly review a method of approximating any real-valued nonnegative continuous compactly supported ...
Octav Olteanu
doaj   +1 more source