Sentence examples for by using the continuation from inspiring English sources
By using the continuation theorem of Mawhin's coincidence degree theory and some inequality techniques, some new sufficient conditions are obtained ensuring existence and global exponential stability of periodic solution of neural networks with variable coefficients and time-varying delays.
By using the continuation theorem of Mawhin's coincidence degree theory and Gronwall's inequality, some new sufficient conditions are obtained ensuring existence and global exponential stability of periodic solution of cellular neural networks with periodic coefficients and delays.
By using the continuation theorem of Mawhins coincidence degree theory and constructing a suitable Lyapunov function, some new sufficient conditions are obtained ensuring existence and global asymptotical stability of periodic solution of cellular neural networks with periodic coefficients and delays, which do not require the activation functions to be differentiable and monotone nondecreasing.
By using the continuation theorem of Mawhin's coincidence degree theory, Lyapunov functional method and some analytical techniques, some sufficient conditions are obtained ensuring existence and global exponential stability of periodic solution of the self-connection BAM neural networks with periodic coefficients and delays.
Some sufficient conditions are obtained for the existence and global exponential stability of a periodic solution to the general bidirectional associative memory (BAM) neural networks with distributed delays by using the continuation theorem of Mawhin's coincidence degree theory and the Lyapunov functional method and the Young's inequality technique.
By using the continuation theorem of coincidence degree theory and constructing a suitable Lyapunov functional, we derive some sufficient conditions for the existence and global exponential stability of a unique periodic solution of BAM neural networks, which assumes neither the monotony nor the boundedness of the activation functions.
Using the approximate solutions, the steady state behaviors are investigated by using the numerical continuation method.
The discretized nonlinear equations of motion are studied by using the arclength continuation and collocation method.
By using the unique continuation principle, we can see that ({widehat{u}}(x) = 0) in (Omega_{1}).
By using the Schrödingerean continuation theorem due to Li (Bound. Value Probl. 2015:2015 2015), we obtain some new results for boundary value problems of Schrödingerean Green potentials.
Remark 1 In [11], by using the Mawhin continuation theorem and constructing Lyapunov functionals, the authors studied the existence and stability of system (1), where the delays are constant.
