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期刊论文
On the second-order di erential equation with piecewise constant argument and almost periodic coeffcients
Nonlinear Analysis 52(2003)1411-1440,-0001,():
In this paper, we study the existence of almost and quasi-periodic solutions to two classes of second-order differential equations. As a corollary, it is shown that periodic and unbounded solutions can coexist for the equation x11(t)+œ2x(t)=bx([t])+f(t), which is different from the case: b=0. This phenomena is due to the piecewise constant argument and illustrates a crucial difference between ordinary differential equations and differential equations with piecewise constant argument. The results are extended to nonlinear equations.
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