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Oscillatory Solutions for Certain Delay-Differential Equations

1988
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Proceedings of the American Mathematical Society
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The existence of oscillatory solutions for a certain class of scalar first order delay-differential equations is proved. An application to a delay logistic equation arising in certain models for population variation of a single specie in a constant environment with limited resources for growth is considered. It is known (cf. [1, 2] ) that all solutions of the delay logistic equations with N(t) = No(t) > 0, -1 < í < 0, N0 continuous, and a and 6 positive constants, satisfy 7V(i) -> a/(b+1) as t

doi:10.2307/2047010
fatcat:dfmy6ifolbgefkgrqaf6lmg3gy