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Asymptotic and oscillation properties of first order linear scalar functional-differential equations. (English) Zbl 0726.45011
Some conditions under which a first order linear scalar functional- differential equation preserves the basic oscillation properties are established. The asymptotic stability of solutions of the homogeneous equation is also considered, and some new sufficient conditions for the stability are given. The basic results are obtained also for a functional-differential equation of neutral type.
MSC:
45J05Integro-ordinary differential equations
45G10Nonsingular nonlinear integral equations
45M05Asymptotic theory of integral equations
45M10Stability theory of integral equations