Second-order linear differential equations with piecewise constant arguments subject to nonlocal boundary conditions

In this paper, the global exponential stability and periodicity are investigated for impulsive neural network models with Lipschitz continuous activation functions and piecewise alternately advanced and retarded argument of generalized argument (in short IDEPCAG). The sufficient conditions for the existence and uniqueness of periodic solutions of the model are established by applying fixed point theorem and the successive approximations method. By constructing suitable differential inequalities with piecewise alternately advanced and retarded argument, some sufficient conditions for the global exponential stability of the model are obtained. Typical numerical examples with simulations are utilized to illustrate the validity and improvement in less conservatism of the theoretical results.

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Second-order linear differential equations with piecewise constant arguments subject to nonlocal boundary conditions

Cited by 3 publications

References 20 publications

Comparison principle and stability of differential equations with piecewise constant arguments

Comparison principle and stability of differential equations with piecewise constant arguments

Runge–Kutta Methods for Systems of Differential Equation with Piecewise Continuous Arguments: Convergence and Stability

Stability Analysis of Periodic Solutions in Alternately Advanced and Retarded Neural Network Models with Impulses

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