Neutral-Type
Pinning adaptive synchronization of neutral type coupled neural networks with stochastic perturbation
... In this paper, we have investigated the almost surely synchronization problem for an array of linearly coupled neutral-type neural networks by using adaptive pinning control. By utilizing Lyapunov stability ...
13
Stability of neutral type descriptor systems with multiple time varying delays
... In this article, the problem of stability of neutral type descriptor systems with time- varying delays is researched. Using free-weight matrix method in combination with Lyapunov-Krasovskii functional ...
7
Existence of Periodic Solutions for Neutral Type Neural Networks with Delays on Time Scales
... Due to time scales calculus theory and the fixed point theorem, we obtained some more generalized results to ensure the existence of the periodic solutions for neutral- type neural networks with delays. The ...
5
On the oscillatory properties of the solutions of a class of integro differential equations of neutral type
... BAINOV, .D.D., MYSHKIS, A.D., ZAHARIEV, A.I., Oscillating Properties of the Solutions of a Class of Neutral Type Integro-Differential Equations, Bull of the Institute of Math.. Academia [r] ...
10
Stabilization of neutral type indirect control systems to absolute stability state
... of neutral type indirect nonlinear control system is formulated, some notation is defined, and a result from [, ] is ...a neutral system with nonlinear indirect control is ...of neutral ...
18
The Existence and Exponential Stability for Random Impulsive Integrodifferential Equations of Neutral Type
... By applying the Banach fixed point theorem and using an inequality technique, we investigate a kind of random impulsive integrodi ff erential equations of neutral type. Some su ffi cient conditions, which can ...
18
Convergence of neutral type SICNNs involving proportional delays and D operators
... with neutral type delays plays an important role in the design and applications of neural networks ...all neutral type SICNNs models can be converted into non-operator-based neu- tral ...
8
Nonlocal cauchy problem for delay fractional integrodifferential equations of neutral type
... integrodifferential equations of neutral type with finite delay and nonlocal conditions in a Banach space X . The existence of mild solutions is proved by means of measure of noncompactness. As an ...
23
Existence of Mild Solutions to Fractional Integrodifferential Equations of Neutral Type with Infinite Delay
... We study the solvability of the fractional integrodifferential equations of neutral type with infinite delay in a Banach space X. An existence result of mild solutions to such problems is obtained under the ...
15
On the asymptotic stability of a class of jump diffusions of neutral type with impulses
... This paper discusses the globally asymptotic stability of the mild solutions to jump- diffusions of neutral type with impulses by the fixed point theory. Globally asymptotic stability of the mild solutions to ...
9
Sampled data state estimation for neural networks of neutral type
... Motivated by the above discussion, in this paper, we aim to deal with the sampled-data state estimation problem for neural networks of neutral type. By utilizing Lyapunov func- tional, Jensen’s inequalities ...
11
Biperiodicity in neutral type delayed difference neural networks
... It is well known that neural networks with delays have a rich dynamical behavior that have been recently investigated by Huand and Li [1] and the references therein. It is naturally important that such systems should ...
15
Oscillatory and periodic solutions to a diffusion equation of neutral type
... changes sign in each interval (n − 1/2,n + 1/2) with integer n. Indeed, τ(t) < 0 for n − 1/2 ≤ t < n and τ(t) > 0 for n < t < n + 1/2, which means that equation (1.3) is alternately of advanced and ...
36
Oscillation criteria for nonlinear functional differential equations of neutral type
... When delays appear in additional terms involving the highest order derivative of the un- known function in a differential equation, we are dealing with a neutral type differential equation. The study of the ...
11
Oscillation criteria for second order nonlinear delay dynamic equations of neutral type
... We investigate oscillatory behavior of solutions to a class of second-order nonlinear neutral delay dynamic equations with nonpositive neutral coefficients. In particular, we study the corresponding ...
9
New oscillation criteria for forced superlinear neutral type differential equations
... that all conditions of Corollary 2.3 are satisfied, and hence every solution of equation (3.3) is almost oscillatory. Remark 3.1. Since the forcing terms e(t) in the above examples are positive, the results obtained in ...
6
A Note on a Semilinear Fractional Differential Equation of Neutral Type with Infinite Delay
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 674630, 8 pages doi 10 1155/2010/674630 Research Article A Note on a Semilinear Fractional Differential Equation[.] ...
8
ON THE OSCILLATION OF A THIRD ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH NEUTRAL TYPE
... Oscillation of second order nonlinear differ- ential equation with sublinear neutral term // Differential Equations and Applications, 2016.. Oscillation of third-order neutral differenti[r] ...
8
Oscillation criteria for second order nonlinear neutral difference equations of mixed type
... this type arise in a number of important applications such as problems in population dynamics when maturation and gestation are included, in cobweb mod- els, in economics where demand depends on the price at an ...
10
Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations
... of neutral stochastic functional differential equations excluding neutral stochastic differential delay equations, but the results obtained in this paper are much more general, and they especially can be ...
14