Global existence and Mann iterative algorithms of positive solutions for first order nonlinear neutral delay differential equations

This paper is concerned with thenth-order forced nonlinear neutral differential equation[x(t)-p(t)x(τ(t))](n)+∑i=1mqi(t)fi(x(σi1(t)),x(σi2(t)),…,x(σiki(t)))=g(t), t≥t0. Some necessary and sufficient conditions for the oscillation of bounded solutions and several sufficient conditions for the existence of uncountably many bounded positive and negative solutions of the above equation are established. The results obtained in this paper improve and extend essentially some known results in the literature. Five interesting examples that point out the importance of our results are also included.

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Global existence and Mann iterative algorithms of positive solutions for first order nonlinear neutral delay differential equations

Cited by 4 publications

References 26 publications

Non-oscillatory solutions for a nonlinear neutral delay differential equation

Non-oscillatory solutions for a nonlinear neutral delay differential equation

Global exponential stability for multi-group neutral delayed systems based on Razumikhin method and graph theory

Bounded Oscillation of a Forced Nonlinear Neutral Differential Equation

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