On solutions of a class of systems of nonlinear functional differential equations of neutral type with complicated deviations of an argument. (English) Zbl 1311.34148
Summary: Sufficient conditions for the existence of a unique bounded solution together with its first derivative on \(\mathbb{R}_+\) of a system of nonlinear functional differential equations with an iterated deviating argument dependent of unknown function, and satisfying the condition \(\lim_{t\to+\infty}|x(t+1)-x(t)|=0\), are given.
MSC:
| 34K12 | Growth, boundedness, comparison of solutions to functional-differential equations |
Keywords:
functional differential equation; unique existence; global bounded solutions; one-periodic function; iterated deviating argumentReferences:
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