Oscillation in neutral partial functional differential equations and inequalities

X. Fu, Shandong Normal University, Jinan, P. R. China
J. H. Wu, York University, Ontario, Canada

E. J. Qualitative Theory of Diff. Equ., No. 5. (1998), pp. 1-14.

Abstract: We derive some sufficient conditions for 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, the Green's Theorem and Jensen's inequality, yield some sufficient conditions for all solutions of a class of neutral partial functional differential equations to be oscillatory. An example is given to illustrate the result.

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