Geodesic
POSITIVE INCREASING SOLUTIONS ON THE HALF-LINE TO SECOND ORDER NONLINEAR DELAY DIFFERENTIAL EQUATIONS
Glasgow mathematical journal, Tome 49 (2007) no. 2, pp. 197-211

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DOI

Second order nonlinear delay differential equations with positive delays are considered, and sufficient conditions are given that guarantee the existence of positive increasing solutions on the half-line with first order derivatives tending to zero at infinity. The approach is elementary and is essentially based on an old idea which appeared in the author's paper Arch. Math. (Basel)36 (1981), 168–178. The application of the result obtained to second order Emden-Fowler type differential equations with constant delays and, especially, to second order linear differential equations with constant delays, is also presented. Moreover, some (general or specific) examples demonstrating the applicability of the main result are given.
DOI : 10.1017/S0017089507003667
Mots-clés : 34K10, 34B18, 34B40 
PHILOS, CH. G. POSITIVE INCREASING SOLUTIONS ON THE HALF-LINE TO SECOND ORDER NONLINEAR DELAY DIFFERENTIAL EQUATIONS. Glasgow mathematical journal, Tome 49 (2007) no. 2, pp. 197-211. doi: 10.1017/S0017089507003667
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     title = {POSITIVE {INCREASING} {SOLUTIONS} {ON} {THE} {HALF-LINE} {TO} {SECOND} {ORDER} {NONLINEAR} {DELAY} {DIFFERENTIAL} {EQUATIONS}},
     journal = {Glasgow mathematical journal},
     pages = {197--211},
     year = {2007},
     volume = {49},
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     doi = {10.1017/S0017089507003667},
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