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| Almost Periodic Solutions of Equation $[\dot x = {x^3} + \lambda g(t)x + \mu f(t)\]$ and Their Stability |
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Citation： |
Jiang Dongping.Almost Periodic Solutions of Equation $[\dot x = {x^3} + \lambda g(t)x + \mu f(t)\]$ and Their Stability[J].Chinese Annals of Mathematics B,1985,6(2):185~198 |
| Page view： 749
Net amount： 847 |
Authors： |
Jiang Dongping; |
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| Abstract： |
By using the Liapunov function and the contraction mapping principle, the author investigates the existence and stability of almost periodic solutions of the first order nonlinear equations
$\frac{dx}{dt}=-h_1(x)+h_2(x)g(t)+f(t)$
and
$\frac{dx}{dt}=r(t)x^n+\lambdag(t)x+\muf(t)$,
where r(t), g(t), f(t) are given almost periodic functions, n(\geq 2) integer, and \lambda,\mu real parameters. |
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