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A Lyapunov inequality for higher order functional differential equations. (Chinese. English summary) Zbl 0842.34074

Summary: A Lyapunov inequality for nonlinear functional differential equations is given. Sufficient conditions are obtained which ensure that all oscillatory solutions of the equation tend to zero and all solutions of the corresponding homogeneous equation are nonoscillatory.

MSC:

34K11 Oscillation theory of functional-differential equations
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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