A strategy to show the existence of periodic solutions is to prove the existence of an initial value ξ∈R such that x(T,ξ)=ξ, that is, that the function ξ↦x(T,ξ) has a fixed point.
Dec 27, 2012
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Oct 15, 2001 · In this paper, we consider the existence of periodic solutions of the following second-order differential equation:(1.1) x ̈ +f(x, x ̇ )=p(t), ( ...
Oct 15, 2001 · In this paper, we consider the existence of periodic solutions of the following second-order differential equation: x ̈ +f(x, x ̇ )=p(t), x(0)=x ...
Sufficient conditions for the existence of periodic solutions of class of second-order differential equations are obtained.
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Feb 7, 2017 · In this paper, the problem of the existence of a periodic solution is studied for the second order differential equation with a singularity ...