On the positive solutions of a higher order functional differential equation with a discontinuity
Open Access
- 1 January 1982
- journal article
- research article
- Published by Wiley in International Journal of Mathematics and Mathematical Sciences
- Vol. 5 (2) , 263-273
- https://doi.org/10.1155/s0161171282000234
Abstract
The n‐th order nonlinear functional differential equation urn:x-wiley:01611712:media:ijmm769678:ijmm769678-math-0001 is considered; necessary and sufficient conditions are given for this equation to have: (i) a positive bounded solution x(t) → B > 0 as t → ∞; and (ii) all positive bounded solutions converging to 0 as t → ∞. Other results on the asymptotic behavior of solutions are also given. The conditions imposed are such that the equation with a discontinuity urn:x-wiley:01611712:media:ijmm769678:ijmm769678-math-0002 is included as a special case.Keywords
Funding Information
- Mississippi State University
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