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Oscillation in neutral partial functional-differential equations and inequalities. (English) Zbl 0907.34062

Summary: The authors derive some sufficient conditions on certain classes of ordinary differential inequalities of neutral type with distributed delay not to have eventually positive or negative solutions. These, together with the technique of spatial average, Green’s theorem and Jensen’s inequality, yield some sufficient conditions for all solutions to a class of neutral partial functional-differential equations to be oscillatory. An example is given to illustrate the result.

MSC:

34K40 Neutral functional-differential equations
34K11 Oscillation theory of functional-differential equations
34A40 Differential inequalities involving functions of a single real variable
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