Results 51 to 60 of about 2,878,474 (274)

On differential operators and differential equations on torus

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018
Summary: In this paper, we consider periodic boundary value problems for a differential equation whose coefficients are trigonometric polynomials. The spaces of generalized functions are constructed, in which the problems considered have solutions, in particular, the solvability space of a periodic analogue of the Mizohata equation is constructed.
openaire   +2 more sources

Higher order nonlinear degenerate differential operator equations

Applied Mathematics Letters, 2009
The authors present optimal regularity results in \(L^p(0,a;E)\) for nonlocal boundary value problems for higher order nonlinear degenerate differential operator equations of the type \[ (-1)^m u^{[2m]}(x) +\sum_{i=0}^{2m-1} A_i(x) u^{[i]}(x)+Au(x)=F(x,u, u^{[1]},\dots,u^{[2m-1]}) \] with boundary conditions \[ \sum_{i=0}^{m_k}\alpha_{ki}u^{[i]}(0 ...
Agarwal, Ravi P., O’Regan, Donal, Shakhmurov, Veli   +2 more
openaire   +3 more sources

Emerging experimental and computational methods for studying redox‐regulated structural transitions

FEBS Letters, EarlyView.
Redox reactions can reshape proteins and alter how they behave in cells, with important consequences for health and disease. This review explores emerging experimental and computational approaches for discovering these redox‐sensitive protein switches, revealing their structural effects, and predicting their behavior, opening new opportunities to ...
Tasneem Rass, Dana Reichmann, Gábor Erdős   +2 more
wiley   +1 more source

Solution of an Initial Boundary Value Problem for a Multidimensional Fourth-Order Equation Containing the Bessel Operator

Mathematics
In the present work, the transmutation operator approach is employed to construct an exact solution to the initial boundary-value problem for multidimensional free transverse equation vibration of a thin elastic plate with a singular Bessel operator ...
Shakhobiddin Karimov, Yorkinoy Tulasheva
doaj   +1 more source

Generalized Briot-Bouquet Differential Equation Based on New Differential Operator with Complex Connections

Axioms, 2020
A class of Briot–Bouquet differential equations is a magnificent part of investigating the geometric behaviors of analytic functions, using the subordination and superordination concepts. In this work, we aim to formulate a new differential operator with
Rabha W. Ibrahim, Rafida M. Elobaid, Suzan J. Obaiys   +2 more
doaj   +1 more source

INTEGRO-DIFFERENTIAL EQUATIONS EMBODYING POWERS OF A DIFFERENTIAL OPERATOR

Vestnik of Samara University. Natural Science Series, 2019
We establish solvability and correctness criteria for two Fredholm type linear integro-differential operators B2, B4 encompassing up to second and fourth powers, respectively, of a differential operator A with aknown inverse I = A 1. We also derive explicit solution formulae to corresponding initial and boundary value problems by using the inverse of the
I. N. Parasidis, E. Providas
openaire   +2 more sources

Synergistic perspectives—How single‐molecule biophysics complement biochemical understanding

FEBS Letters, EarlyView.
In this review, we discuss how ensemble biochemistry and single‐molecule approaches are complementary, outline commonly used single‐molecule techniques, and illustrate their relevance through two representative case studies: chromatin organization by SMC complexes and pathway choice during DNA double‐strand break repair.
Sara De Bragança, Eline L. Jansen, Jorine M. Eeftens   +2 more
wiley   +1 more source

Functional comparison of EncB and EncC cargo proteins in iron storage within the Myxococcus xanthus encapsulin

FEBS Letters, EarlyView.
Encapsulins are protein nanocompartments that play an important role in iron storage. In the Myxococcus xanthus encapsulin system, two cargo proteins called EncB and EncC contribute to iron mineralization. Here, we show that EncB and EncC generate iron‐containing minerals with distinct chemical compositions, suggesting that the composition of stored ...
Harry B. McDowell, Thomas Walther, Egbert Hoiczyk   +2 more
wiley   +1 more source

Hamiltonian and recursion operators for a discrete analogue of the Kaup-Kupershmidt equation [PDF]

Open Communications in Nonlinear Mathematical Physics
In this paper we study the algebraic properties of a new integrable differential-difference equation. This equation can be seen as a deformation of the modified Narita-Itoh-Bogoyavlensky equation and has the Kaup-Kupershmidt equation in its continuous ...
Edoardo Peroni, Jing Ping Wang
doaj   +1 more source

Structural and biochemical analysis of a B12 superbinder

FEBS Letters, EarlyView.
BtuG proteins are vitamin B12 scavengers in Bacteroides thetaiotaomicron, a dominant human gut bacterium. We present crystal structures of three BtuG homologs bound to cobalamin and its precursor cobinamide, revealing picomolar binding affinities, among the highest known for any natural protein.
Jose M. Martinez Felices, Jacob J. Whittaker, Dirk J. Slotboom, Albert Guskov   +3 more
wiley   +1 more source