Comparison theorems on the oscillation of third-order functional differential equations with mixed deviating arguments in neutral term. (English) Zbl 1486.34130
Summary: This study purposes to present some new comparison theorems that guarantee the oscillation of all solutions of third-order functional differential equations with mixed neutral term i.e., the neutral term contains both retarded and advanced arguments. The obtained results are based on comparisons with associated first-order delay differential inequalities and first-order delay differential equations, and they are applicable to both cases where the neutral coefficients of differential equation are unbounded and/or bounded. Illustrative examples are also provided to validate the main results.
MSC:
| 34K11 | Oscillation theory of functional-differential equations |
| 34K12 | Growth, boundedness, comparison of solutions to functional-differential equations |
| 34K40 | Neutral functional-differential equations |
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