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Any harmonic function in the open unit disc
can be written as a sum of an a...
We present several Gronwall-OuIang-type integral inequalities on time scales. Firstly, an OuIang inequality on time scales is discussed. Then we extend the Gronwall-type inequalities to multiple integrals. Som...
We establish some multiple integral Hilbert-Pachpatte-type inequalities. As applications, we get some inverse forms of Pachpatte's inequalities which were established in 1998.
-Monotone Set-Valued Mappings
We introduce and study a new system of random nonlinear generalized variational inclusions involving random fuzzy mappings and set-valued mappings with
Using the notion of weakly
-contractive mappings, we prove several new common fixed point theorems for commuting as well as noncommuting mapping...
The theorem on the Gronwall's type integral inequalities with two dependent limits is established. In application, the boundedness of the solutions of nonlinear differential equations is presented.
The purpose of this paper is to consider the problem of finding a common element in the solution set of equilibrium problems and in the fixed point set of a strictly pseudocontractive mapping. Strong convergen...
We propose a network model, a weighted bipartite complex dynamical network with coupling delay, and present a scheme for identifying the weights of the network. Based on adaptive synchronization technique, wei...
We prove the Hyers-Ulam stability of a second-order linear functional equation in single variable (with constant coefficients) that is connected with the Fibonacci numbers and Lucas sequences. In this way we c...
By introducing some parameters and estimating the weight functions, we build a new Hilbert's inequality with the homogeneous kernel of 0 order and the integral in whole plane. The equivalent inequality and the...
-Laplacian Type Wave Equation
We study the global existence and uniqueness of a solution to an initial boundary value problem for the nonlinear wave equation with the
We introduce and study some new subclasses of p-valent starlike, convex, close-to-convex, and quasi-convex functions defined by certain Srivastava-Attiya operator. Inclusion relations are established, and integra...
This paper is devoted to generalize Halanay's inequality which plays an important rule in study of stability of differential equations. By applying the generalized Halanay inequality, the stability results of ...
Uniform finite difference methods are constructed via nonstandard finite difference methods for the numerical solution of singularly perturbed quasilinear initial value problem for delay differential equations...
Let
,
, and
...
Arising from studying some multivalued von Neumann model, three set-valued inequality systems are introduced, and two solvability questions are considered. By constructing some auxiliary functions and studying...
This paper investigates the upper semicontinuity of the solution map for a parametric weak vector variational inequality associated to a
We characterize the isometries on the products of composition and integral operators on the Bloch type space in the disk.
We apply the quadratic penalization technique to derive strong Lagrangian duality property for an inequality constrained invex program. Our results extend and improve the corresponding results in the literature.
We give a simpler proof of a result of Holland concerning a mixed arithmetic-geometric mean inequality. We also prove a result of mixed-mean inequality involving the symmetric means.
The purpose of this paper is to consider a shrinking projection method for finding a common element of the set of solutions of generalized mixed equilibrium problems, the set of fixed points of a finite family...
-Laplacian Integrodifferential System Multipoint and Integral Boundary Value Problems in Half Line
This paper investigates the existence and asymptotic behavior of solutions for weighted
-Laplacian integro-differential system with multipoint a...
Gauss-Markov theorem reduces linear unbiased estimation to the Least Squares Solution of inconsistent linear equations while the normal equations reduce the second one to the usual solution of consistent linea...
We prove the Hyers-Ulam stability of a 2-dimensional quadratic functional equation in a class of vector variable functions in Banach modules over a unital
...
We establish a new Laypunov-type inequality for two nonlinear systems of partial differential equations and the discrete analogue is also established. As application, boundness of the two-dimensional Emden-Fow...
-Potentials in a Half Space
A class of
-potentials represented as the sum of modified Green potential and modified Poisson integral are proved to have the growth es...
-Euler Polynomials and Numbers of Higher Order Associated with Fermionic Invariant
-Integrals
We define multiple Nörlund-type twisted
-Euler polynomials and numbers and give interpolation functions of multiple Nörlund-type twisted...
We establish some necessary and sufficient conditions for oscillation of the solutions of the following two-dimensional difference system:
Given any continuous increasing function
such that
, we show that there are...
We present some lower bounds for the Frobenius condition number of a positive definite matrix depending on trace, determinant, and Frobenius norm of a positive definite matrix and compare these results with ot...
-Mixing Random Variables
Some results on complete convergence for weighted sums
are presented, where
Using a Kurepa's result for Gramians, we achieve refinements of well-known generalizations of Grüss inequality in inner product spaces. These results are further applied in ...
We obtain the generalized Hyers-Ulam stability of the bi-quadratic functional equation
in quasinormed spaces.
The purpose of this paper is to introduce a general iterative method for finding solutions of a general system of variational inclusions with Lipschitzian relaxed cocoercive mappings. Strong convergence theore...
We prove a sharp weighted Rellich inequality associated with a class of Greiner-type vector fields on H-type groups. We also obtain some weighted Hardy- and Rellich-type inequalities on nonisotropic Heisenberg...
We prove that
is multiplicatively concave on
if
This paper is devoted to some applications of a weighted symmetrization inequality related to a second order boundary value problem. We first interpret the inequality in the context of elastic membranes, and o...
We consider a linear programming problem in which the right-hand side vector depends on multiple parameters. We study the characters of the optimal value function and the critical regions based on the concept ...
-Weighted Inequalities with Lipschitz and BMO Norms
We first define a new kind of
two-weight, then obtain some two-weight integral inequalities with Lipschitz norm and BMO norm for Green'...
Let
be a sequence of independent and identically distributed (i.i.d.) random variables and denote
...
We introduce a hybrid iterative scheme for finding a common element of the set of solutions for a system of mixed equilibrium problems, the set of common fixed point for nonexpansive semigroup, and the set of ...
Using exponential inequalities, Wu et al. (2009) and Wang et al. (2010) obtained asymptotic approximations of inverse moments for nonnegative independent random variables and nonnegative negatively orthant dep...
By means of a differential operator, we introduce and investigate some new subclasses of
-valently analytic functions with negative coefficients...
We use an inequality given by Matić and Pečarić (2000) and obtain improvement and reverse of Slater's and related inequalities.
In this paper, the exponential stability analysis problem is considered for a class of recurrent neural networks (RNNs) with random delay and Markovian switching. The evolution of the delay is modeled by a con...
A basic theorem is established and found to be a source of inequalities for hyperbolic functions, such as the ones of Cusa, Huygens, Wilker, Sandor-Bencze, Carlson, Shafer-Fink type inequality, and the one in ...
General classes of analytic functions defined by convolution with a fixed analytic function are introduced. Convolution properties of these classes which include the classical classes of starlike, convex, clos...
Involved in the Blasius Problem
Utilizing the Schauder fixed point theorem to study existence on positive solutions of an integral equation, we obtain an upper bound of the critical value
...
This paper is concerned with a periodic system dependent on parameter. We study differentiability with respect to parameters of the periodic solution of the system. Applying a fixed point theorem and the resul...
Let
be a positive integer and
,
...
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