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This paper proposes a new fuzzy adaptive exponential synchronization controller for uncertain time-delayed chaotic systems based on Takagi-Sugeno (T-S) fuzzy model. This synchronization controller is designed ...
This paper introduces new dilated LMI conditions for continuous-time linear systems which not only characterize stability and
performan...
A characterization for the entire solutions of a nonlinear inequality, which has a natural interpretation in terms of certain nonflat Robertson-Walker spacetimes, is given. As an application, new Calabi-Bernst...
We establish a summability factor theorem for summability
, where
This paper studies initial boundary value problem of fourth-order nonlinear marine riser equation. By using multiplier method, it is proven that the zero solution of the problem is globally asymptotically stable.
Let
and
be entire functions of order less than 1 with
By constructing a mixed monotone iterative technique under a new concept of upper and lower solutions, some existence theorems of mild
-...
The purpose of this paper is to introduce certain new sequence spaces using ideal convergence and an Orlicz function in 2-normed spaces and examine some of their properties.
We achieve the general solution and the generalized stability result for the following functional equation in random normed spaces (in the sense of Sherstnev) under arbitrary t-norms: ...
with the Square Norm
The polynomial of degree n which is the best approximation of the sinc function on the interval (0,
] with the square norm is considered...
By introducing multiparameters and conjugate exponents and using Hadamard's inequality and the way of real analysis, we estimate the weight coefficients and give a multiple more accurate Hilbert's inequality, ...
We study the asymptotic behavior of the nonnegative solutions of a periodic reaction diffusion system. By obtaining a priori upper bound of the nonnegative periodic solutions of the corresponding periodic diff...
Let
be
strict pseudo-contractions defined on a closed and ...
Let
denote the sequence of polynomials orthogonal with respect to the non-discrete Sobolev inner product
...
We do not only give the extensions of the results given by Gill et al. (1997) for log-convex functions but also obtain some new Hadamard-type inequalities for log-convex
...
We prove the generalized Hyers-Ulam stability of the following additive-cubic equation
in the setting of random normed spaces.
Let
be a sequence of independent and identically distributed
The main objective of this paper is to establish a new retarded nonlinear integral inequality with two variables, which provide explicit bound on unknown function. This inequality given here can be used as too...
By using coincidence degree theory and Lyapunov functions, we study the existence and global exponential stability of antiperiodic solutions for a class of generalized neural networks with impulses and arbitra...
Applying the moment inequality of negatively dependent random variables which was obtained by Asadian et al. (2006), the strong limit theorem for weighted sums of sequences of negatively dependent random varia...
We apply the fixed point method to investigate the Hyers-Ulam stability of the Pexider functional equation
, for all
...
By virtue of higher-order adjacent derivative of set-valued maps, relationships between higher-order adjacent derivative of a set-valued map and its profile map are discussed. Some results concerning stability...
Let
be a standardized non-stationary Gaussian sequence, and let denote
New results associated with Hermite-Hadamard inequalities for superquadratic functions are given. A set of Cauchy's type means is derived from these Hermite-Hadamard-type inequalities, and its log-convexity an...
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...
-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...
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