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Let
be an interval and let
be a reproducing kernel on
...
We describe the sets on which difference of solutions of the gas dynamics equation satisfy some special conditions. By virtue of nonlinearity of the equation the sets depend on the solution gradient quantity. ...
We consider the basin of the zero-solution to a semilinear parabolic equation on
with the Ornstein-Uhlenbeck operator. Our aim is to show that t...
We discuss the stability of complex exponential frames
in
,
...
We first obtain an improved version of the Hölder inequality with Orlicz norms. Then, as an application of the new version of the Hölder inequality, we study the integrability of the Jacobian of a composite ma...
The Cesaro summability of trigonometric Fourier series is investigated in the weighted Lebesgue spaces in a two-weight case, for one and two dimensions. These results are applied to the prove of two-weighted B...
We introduce and study a new system of generalized nonlinear relaxed cocoercive inequality problems and construct an iterative algorithm for approximating the solutions of the system of generalized relaxed coc...
A discrete Hardy-type inequality
is considered for a positive "kernel"
,
The goal of the paper is twofold: (1) to show that the exact value
in the Meńshov-Rademacher inequality equals 4/3, and (2) to give a new proof ...
-quasihyponormal operators
It is shown that if
is an
upper-triangular operator matrix acting on the Hil...
We study a nonlinear hyperbolic equation with boundary memory source term. By the use of Galerkin procedure, we prove the global existence and the decay property of solution.
We prove Turán-type inequalities for some special functions by using a generalization of the Schwarz inequality.
We denote by
and
the gamma and the incomplete gamma functions, respectively....
The purpose of this paper is to introduce the concept of general fuzzy multivalued variational inclusions and to study the existence problem and the iterative approximation problem for certain fuzzy multivalue...
We study the existence and multiplicity of solutions for the three-point nonlinear boundary value problem
,
...
Bounds on strong convergences of the Hill-type estimator are established under second-order regularly varying conditions.
We establish a weighted
boundedness of a parametric Marcinkiewicz integral operator
This paper is devoted to the study of behaviour and sensitivity analysis of the solution for a class of parametric problem of completely generalized quasi-variational inequalities.
scale
Yano's extrapolation theorem dated back to 1951 establishes boundedness properties of a subadditive operator
acting continuously in
-hyponormal and
-hyponormal operators
Firstly, we will show the following extension of the results on powers of
-hyponormal and
-Laplacian
Oscillation criteria for PDE with
-Laplacian div
are obtained via Riccati ine...
We apply the Poincaré inequality to study the extended Kantorovich method that was used to construct a closed-form solution for two coupled partial differential equations with mixed boundary conditions.
We consider an elliptic hemivariational inequality with nonlocal nonlinearities. Assuming only certain growth conditions on the data, we are able to prove existence results for the problem under consideration....
We provide explicit formulas in terms of the special function gamma for the best constants in nontensorial multilinear extensions of some classical integral inequalities due to Hilbert, Hardy, and Hardy-Little...
We establish a result concerning the existence of solutions for the following implicit integral equation:
, where
...
Using maximal element theorem, we prove some existence theorems for the two types of generalized vector quasi-variational-like inequalities with non-monotonicity and non-compactness.
We introduce new and interesting model of system of generalized set-valued equilibrium problems which generalizes and unifies the system of set-valued equilibrium problems, the system of generalized implicit v...
estimates of Hardy-Littlewood maximal operators
We will introduce the
times modified centered and uncentered Hardy-Littlewood maximal operators on nonhomogeneous spaces for
...
We prove that the complete elementary symmetric function
and the function
ar...
If
is a polynomial of degree
, having all its zeros in
...
norm of a GCD-related matrix
We find an upper bound for the
norm of the
matrix whose
...
We deal with the self-similar singular solution of doubly singular parabolic equation with a gradient absorption term
for
...
A mixed problem with a boundary Dirichlet condition and nonlocal integral condition is considered for a two-dimensional elliptic equation.The existence and uniqueness of a weak solution of this problem are pro...
We establish some complements of Cauchy's inequality on time scales. These results extend some inequalities given by Cargo, Diaz, Goldman, Greub, Kantorovich, Makai, Metcalf, Pólya, Rheinboldt, Schweitzer, and...
-quasihyponormal operators
We show that if
is a
-quasihyponormal operator and
...
Let
be a nonlinear mapping from a nonempty closed invex subset
of an infinit...
We study nonlinear ODE problems in the complex Euclidean space, with the right-hand side being polynomial with nonconstant periodic coefficients. As the coefficients functions, we admit only functions with van...
Let
be a Banach space and let
be the unit sphere of
...
We give some necessary and sufficient conditions for the class of Appell polynomials to satisfy well-known Turan's inequality. Among the other corollaries, we apply our results to some classes of orthogonal po...
Picone-type inequalities are established for nonlinear elliptic equations which are generalizations of nonself-adjoint linear elliptic equations, and Sturmian comparison theorems are derived as applications. O...
We establish upper bounds for the eigenvalues of second-order and fourth-order differential equations. The inequalities are obtained via rearrangements of higher degree.
We consider the singular nonlinear integral equation
for all
where
We consider a model of economic dynamics with discrete innovations and establish the existence of trajectories with unbounded consumption.
We prove the following let
, and
be real numbers, and let
...
For one class of hyperbolic systems of second order, we consider multidimensional versions of the Darboux problem in conic domains. A priori estimates of solutions of these problems are obtained. The existence...
This paper deals with the problem of estimating the deviation of the values of a function from its mean value. We consider the following special cases: (i) the case of random variables (attached to arbitrary p...
We analyze the univalence of the solutions of the biharmonic equation. In particular, we show that if
is a biharmonic map in the form
Let
be a measurable function defined on the unit polydisc
in
We deal with a theoric question raised in connection with the application of a three-critical points theorem, obtained by Ricceri, which has been already applied to obtain multiplicity results for boundary val...
Some matrix versions of the Cauchy-Schwarz and Frucht-Kantorovich inequalities are established over the quaternionic algebra. As applications, a group of inequalities for sums of Hermitian nonnegative definite...
Citation Impact 2023
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