The existence of nonoscillatory solutions with different asymptotic properties for a two-dimensional nonlinear functional differential system is studied. Some discrepancies in the coexistence of nonoscillatory solutions between the general nonlinear system and the Emden-Fowler system or the half-linear equation are pointed out. The roles of deviating arguments are also discussed.
Monotone solutions of two dimensional nonlinear functional differential systems / M. CECCHI; Z. DOSLA; M.MARINI. - In: DYNAMIC SYSTEMS AND APPLICATIONS. - ISSN 1056-2176. - STAMPA. - 17:(2008), pp. 595-608.
Monotone solutions of two dimensional nonlinear functional differential systems
MARINI, MAURO
2008
Abstract
The existence of nonoscillatory solutions with different asymptotic properties for a two-dimensional nonlinear functional differential system is studied. Some discrepancies in the coexistence of nonoscillatory solutions between the general nonlinear system and the Emden-Fowler system or the half-linear equation are pointed out. The roles of deviating arguments are also discussed.
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