Consider the problem of determining the coefficients in the differential equation of parabolic types and boundary conditions on the known sections of the solutions of the initial-boundary value problem. Used spectral ...

Let Lambda(q)(omega), q > 0, denote the Lorentz space equipped with the (quasi) norm parallel to f parallel to(Lambda q(omega)) := (integral(1)(0) (f*(t)omega(t))(q)dt/t)(1/q) for a function integral on [0,1] and ...

We show the following function on m-tuples of positive operators in finite von Neumann algebra M: Φ p(A1,A2,⋯, Am)=∥(∑k=1mAkp)1/p∥LE(M) is jointly convex for 1≤p≤2 and for any symmetric norm ∥·∥LE(M) associated with M. © ...

The application of bucketless bottom unloading rotor with oblique cutting knife type cutting elements on the earthmoving machine allows enhancing significantly its excavation quantities in the road construction compared ...

For graph domains without cycles, we show how unknown coefficients and source terms for a parabolic equation can be recovered from the dynamical Neumann-to-Dirichlet map associated with the boundary vertices. Through use ...

We investigated a minimal closed in the space l(2) first order nonsymmetric difference operator L. The matrix of zero order coefficients of L may be an unbounded operator. The study of L is motivated by applications to ...

In this paper the problem of the existence of solutions is studied for a hyperbolic type differential equation defined in an unbounded domain. The problem of the smoothness of solutions is also considered here. Such problems ...

At present, the question of studying multidimensional nonlinear evolution equations in the framework of the theory of solitons is very relevant. Their usefulness is confirmed by numerous scientific publications, articles ...

This paper focuses on the problem of global practical output tracking for a class of high-order non-linear systems with time-varying delays (via state feedback). Under mild growth conditions on the system nonlinearities ...

We establish necessary and sufficient conditions the validity of the discrete Hardy-type inequality (Sigma(infinity)(i=1)(Sigma(infinity)(j=1) a(i,j) f(j))(q) u(i)(q))(1/q) <= (Sigma(infinity)(i=1) f(i)(p)v(i)(p))(1/p) ...