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Oscillatory properties of the first order nonlinear functional differential equations. (English) Zbl 0867.34060

Ladde, G. S. (ed.) et al., Dynamic systems and applications. Vol. 2. Proceedings of the 2nd international conference, Morehouse College, Atlanta, GA, USA, May 24–27, 1995. Atlanta, GA: Dynamic Publishers. 443-449 (1996).
Summary: Oscillation properties of first order functional differential equations have been studied by many authors. It will be important to investigate that all solutions of nonlinear functional differential equations with forcing terms are oscillatory. This is applied to study the oscillatory properties for parabolic equations. The purpose of this paper is to investigate the oscillatory properties of functional differential equations with a forcing term of the type \(y'(t)+ p(t)f(y(\sigma(f))) =q(t)\), \(t\in [t_0,\infty)\).
For the entire collection see [Zbl 0854.00016].

MSC:

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