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Oscillatory behaviour of solutions of forced neutral differential equations

N. Parhi, P. K. Mohanty (1996)

Annales Polonici Mathematici

Sufficient conditions are obtained for oscillation of all solutions of a class of forced nth order linear and nonlinear neutral delay differential equations. Also, asymptotic behaviour of nonoscillatory solutions of a class of forced first order neutral equations is studied.

Periodic solutions for first order neutral functional differential equations with multiple deviating arguments

Lequn Peng, Lijuan Wang (2014)

Annales Polonici Mathematici

We consider first order neutral functional differential equations with multiple deviating arguments of the form ( x ( t ) + B x ( t - δ ) ) ' = g ( t , x ( t ) ) + k = 1 n g k ( t , x ( t - τ k ( t ) ) ) + p ( t ) . By using coincidence degree theory, we establish some sufficient conditions on the existence and uniqueness of periodic solutions for the above equation. Moreover, two examples are given to illustrate the effectiveness of our results.

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