Displaying similar documents to “Periodic solutions of differential equations with a general piecewise constant argument and applications.”

Existence and positivity of solutions for a nonlinear periodic differential equation

Ernest Yankson (2012)

Archivum Mathematicum

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We study the existence and positivity of solutions of a highly nonlinear periodic differential equation. In the process we convert the differential equation into an equivalent integral equation after which appropriate mappings are constructed. We then employ a modification of Krasnoselskii’s fixed point theorem introduced by T. A. Burton ([4], Theorem 3) to show the existence and positivity of solutions of the equation.

Periodic solutions for n -th order delay differential equations with damping terms

Lijun Pan (2011)

Archivum Mathematicum

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By using the coincidence degree theory of Mawhin, we study the existence of periodic solutions for n th order delay differential equations with damping terms x ( n ) ( t ) = ∑ i = 1 s b i [ x ( i ) ( t ) ] 2 k - 1 + f ( x ( t - τ ( t ) ) ) + p ( t ) . Some new results on the existence of periodic solutions of the investigated equation are obtained.