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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
...
A time-scale version of the Hardy inequality is presented, which unifies and extends well-known Hardy inequalities in the continuous and in the discrete setting. An application in the oscillation theory of hal...
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...
We prove that the projection operator on a nonempty closed convex subset
of a uniformly convex Banach spaces is uniformly continuous on bounded ...
We improve several results recently established by Dragomir et al. in (2000) for the Gamma and Beta functions. All we need is some clever applications of classical inequalities.
We investigate the existence of continuous solutions on compact intervals of some nonlinear integral equations. The existence of such solutions is based on some well-known fixed point theorems in Banach spaces...
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...
Using inequalities for a certain function appearing in the half-linear version of Picone's identity, we show that oscillatory properties of the half-linear second-order differential equation ...
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...
The purpose of this paper is to introduce the concept of fuzzy variational-like inequalities and to study the existence problem and the iterative approximation problem for solutions of certain kinds of fuzzy v...
Using the notion of inferior mean due to M. Heins, we establish two inequalities for such a mean relative to a positive harmonic function defined on the open unit ball or half-space in ...
This study focuses on anisotropic Sobolev type spaces associated with Banach spaces
,
We study the first boundary value problem for a class of nonlinear degenerate parabolic equations
. We first consider its regularized problem and...
We prove that a Jordan homomorphism from a Banach algebra into a semisimple commutative Banach algebra is a ring homomorphism. Using a signum effectively, we can give a simple proof of the Hyers-Ulam-Rassias s...
Let
be a normed linear space,
an element of norm one, and
...
Some new Gronwall-Ou-Iang type integral inequalities in two independent variables are established. These integral inequalities can be applied as tools to the study of certain class of integral and differential...
We consider
and a corresponding geometric mean operator
. E. T. Sawyer showed...
for some weighted algebraic and trigonometric polynomials
Bernstein inequalities are given for polynomials of degree at most
(where
), ...
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