Almost periodic solutions of impulsive differential equations


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Lemma 3 see [ 31 ]. Definition 4. Remark 5. Lemma 6 see [ 6 ]. Lemma 7. Almost Periodic Solution In this section, the existence and uniqueness of almost periodic solution of system 4 will be studied. Theorem 8. Remark 9. Remark Global Exponential Stability of Almost Periodic Solution In this section, we study global exponential stability of almost periodic solution of system 4 by constructing a suitable Lyapunov functional. Theorem An Example and Numerical Simulations Example 1. Open in a separate window. Figure 1. Figure 2. Figure 3. Figure 4. Figure 5. Figure 6. Figure 7.

Discussion In this paper, the neutral Cohen-Grossberg shunting inhibitory cellular neural networks with distributed delays and impulses are considered. Competing Interests The authors declare that they have no competing interests. References 1. Bouzerdoum A. Shunting inhibitory cellular neural networks: derivation and stability analysis. Fundamental Theory and Applications. Global exponential stability of periodic solution for shunting inhibitory CNNs with delays. Physics Letters A. Chen A. Almost periodic solution of shunting inhibitory CNNs with delays.

Liu B. Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays. Almost periodic solutions for shunting inhibitory cellular neural networks without global Lipschitz activation functions. Journal of Computational and Applied Mathematics. Xia Y. Existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks with impulses. Chaos, Solitons and Fractals.

Almost Periodic Solutions of Impulsive Differential Equations | Gani T. Stamov | Springer

Chen L. Global stability of almost periodic solution of shunting inhibitory cellular neural networks with variable coefficients. Yang L. Periodic solutions for stochastic shunting inhibitory cellular neural networks with distributed delays. Advances in Difference Equations. Existence and stability of pseudo almost periodic solutions for shunting inhibitory cellular neural networks with neutral type delays and time-varying leakage delays.

Network: Computation in Neural Systems. On antiperiodic solutions for Cohen-Grossberg shunting inhibitory neural networks with time-varying delays and impulses. Neural Computation. Almost periodic solutions of shunting inhibitory cellular neural networks on time scales.

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Communications in Nonlinear Science and Numerical Simulation. Fink A. Almost Periodic Differential Equations. Berlin, Germany: Springer; Lecture Notes in Mathematics, Vol. Ortega R. Differential Equations, Chaos and Variational Problems.

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Degree theory and almost periodic problems; pp. Wang X. A new approach to the existence, nonexistence and uniqueness of positive almost periodic solution for a model of hematopoiesis. Nonlinear Analysis. Cohen M. Absolute stability and global pattern formation and parallel memorys to rage by competitive neural networks. Existence and stability of periodic solutions for Cohen-Grossberg neural networks with multiple delays.

Global exponential stability and existence of periodic solution of impulsive Cohen-Grossberg neural networks with distributed delays on time scales. Neural Processing Letters. Yang W.

Periodic solution for fuzzy Cohen-Grossberg bam neural networks with both time-varying and distributed delays and variable coefficients. Existence and exponential stability of periodic solutions for a class of Cohen-Grossberg neural networks with time-varying delays. Long F. Existence and exponential stability of periodic solutions for a class of Cohen-Grossberg neural networks with bounded and unbounded delays. Real World Applications. Zhao H. Existence and stability of almost periodic solution for Cohen-Grossberg neural networks with variable coefficients. Existence and globally exponential stability of almost periodic solution for Cohen-Grossberg BAM neural networks with variable coefficients.

Applied Mathematical Modelling. Xiang H. Almost periodic solution of Cohen-Grossberg neural networks with bounded and unbounded delays. The existence of nonzero almost periodic solution for Cohen-Grossberg neural networks with continuously distributed delays and impulses. Yang X. Existence and global exponential stability of periodic solution for Cohen-Grossberg shunting inhibitory cellular neural networks with delays and impulses. Zhang Z. Journal of the Franklin Institute.

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Almost Periodic Solutions of Impulsive Differential Equations

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maisonducalvet.com/montijo-conocer-chico.php In the last few decades the theory of ordinary differential equations has grown rapidly under View Product. Differentiable Periodic Maps. MEMS Vibratory Gyroscopes provides a solid foundation in the theory and fundamental operational principles of MEMS Vibratory Gyroscopes provides a solid foundation in the theory and fundamental operational principles of micromachined vibratory rate gyroscopes, and introduces structural designs that provide inherent robustness against structural and environmental variations.

In the first part, the dynamics of the Differential algebraic equations DAEs , including so-called descriptor systems, began to attract significant research interest in Differential algebraic equations DAEs , including so-called descriptor systems, began to attract significant research interest in applied and numerical mathematics in the early s, no more than about three decades ago.

In this relatively short time, DAEs have become a widely Differential Geodesy. Apart from Hotine's work on Mathematical Geodesy, several previously unpublished reports are collected in this Apart from Hotine's work on Mathematical Geodesy, several previously unpublished reports are collected in this monograph, complemented by extensive comments on these contributions and a complete bibliography of Hotine by the editor. Let us first state exactly what this book is and what it is not. Backward stochastic differential equations BSDEs provide a general mathematical framework for solving pricing and risk Backward stochastic differential equations BSDEs provide a general mathematical framework for solving pricing and risk management questions of financial derivatives.

They are of growing importance for nonlinear pricing problems such as CVA computations that have been developed since the crisis. In recent years, the Fourier analysis methods have expereinced a growing interest in the study In recent years, the Fourier analysis methods have expereinced a growing interest in the study of partial differential equations. In particular, those techniques based on the Littlewood-Paley decomposition have proved to be very efficient for the study of evolution equations.

Almost periodic solutions of impulsive differential equations Almost periodic solutions of impulsive differential equations
Almost periodic solutions of impulsive differential equations Almost periodic solutions of impulsive differential equations
Almost periodic solutions of impulsive differential equations Almost periodic solutions of impulsive differential equations
Almost periodic solutions of impulsive differential equations Almost periodic solutions of impulsive differential equations
Almost periodic solutions of impulsive differential equations Almost periodic solutions of impulsive differential equations
Almost periodic solutions of impulsive differential equations Almost periodic solutions of impulsive differential equations
Almost periodic solutions of impulsive differential equations Almost periodic solutions of impulsive differential equations
Almost periodic solutions of impulsive differential equations Almost periodic solutions of impulsive differential equations
Almost periodic solutions of impulsive differential equations Almost periodic solutions of impulsive differential equations

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