Positive Almost Periodic Solution on a Nonlinear Differential Equation

Ni Hua; Tian Li-xin; Liu Xun

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Positive Almost Periodic Solution on a Nonlinear Differential Equation

机译：非线性微分方程的正概周期解。

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摘要

We study the following nonlinear equation dx(t)/dt = x(t)[a(t) - b(t)x~a(t) - f(t,x(t))] + g(t), by using fixed point theorem, the sufficient conditions of the existence of a unique positive almost periodic solution for above system are obtained, by using the theories of stability, the sufficient conditions which guarantee the stability of the unique positive almost periodic solution are derived.

机译：我们研究以下非线性方程dx（t）/ dt = x（t）[a（t）-b（t）x〜a（t）-f（t，x（t））] + g（t），通过不动点定理，得到了上述系统唯一正正周期解存在的充分条件，利用稳定性理论，导出了保证唯一正正周期解的稳定性的充分条件。

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来源
《Mathematical Problems in Engineering》 |2011年第3期|p.1-10|共10页
作者
Ni Hua; Tian Li-xin; Liu Xun;
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Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China;

Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China;

Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China;

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Positive Almost Periodic Solution on a Nonlinear Differential Equation

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