Uniform-ultimate Poisson boundedness of solutions of P-perturbed systems of differential equations

[摘要] The concept of P-perturbed systems with respect to given system of ordinary differential equations is introduced. Certain sufficient conditions for uniform-ultimate Poisson boundedness of solutions of P-perturbed systems are obtained by using the method of Lyapunov functions. In conclusion, an interesting application of the above sufficient conditions to the standard closed electric RLC circuit with nonlinear elements is given.

[学科分类] 数学（综合）

[关键词] P-perturbed systems;differential equations;uniform-ultimate Poisson boundedness;Lyapunov function