Philos, Ch. G. Positive increasing solutions on the half-line to second order nonlinear delay differential equations. (English) Zbl 1127.34039 Glasg. Math. J. 49, No. 2, 197-211 (2007). The paper deals with the existence of positive increasing solutions of second-order delayed nonlinear differential equations with prescribed asymptotic behavior. The main assumptions in the given theorems are negativity and monotonicity of the right-hand side of the equation. Corollaries for the second-order Emden-Fowler type equation are derived, as well. Reviewer: Jiří Šremr (Brno) Cited in 2 Documents MSC: 34K10 Boundary value problems for functional-differential equations 34K25 Asymptotic theory of functional-differential equations Keywords:second-order nonlinear delay differential equation; positive increasing solution; asymptotic behavior PDFBibTeX XMLCite \textit{Ch. G. Philos}, Glasg. Math. J. 49, No. 2, 197--211 (2007; Zbl 1127.34039) Full Text: DOI References: [1] DOI: 10.2307/2160423 · Zbl 0802.34026 · doi:10.2307/2160423 [2] Philos, Math. Slovaca 33 pp 409– (1983) [3] DOI: 10.1016/j.aml.2005.10.013 · Zbl 1126.34339 · doi:10.1016/j.aml.2005.10.013 [4] DOI: 10.1016/j.na.2005.02.058 · Zbl 1224.34155 · doi:10.1016/j.na.2005.02.058 [5] DOI: 10.1619/fesi.47.167 · Zbl 1118.34046 · doi:10.1619/fesi.47.167 [6] DOI: 10.1016/S0362-546X(01)00834-3 · Zbl 1017.34005 · doi:10.1016/S0362-546X(01)00834-3 [7] DOI: 10.1016/S0096-3003(02)00431-9 · Zbl 1036.34027 · doi:10.1016/S0096-3003(02)00431-9 [8] DOI: 10.1017/S0017089504002228 · Zbl 1072.34049 · doi:10.1017/S0017089504002228 [9] DOI: 10.1017/S0017089502001143 · Zbl 1037.34041 · doi:10.1017/S0017089502001143 [10] Mavridis, Ann. Polon. Math. 88 pp 173– (2006) [11] DOI: 10.1112/jlms/s2-31.3.478 · Zbl 0578.34045 · doi:10.1112/jlms/s2-31.3.478 [12] Mavridis, Arch. Math. (Basel) 86 pp 163– (2006) · Zbl 1097.34047 · doi:10.1007/s00013-005-1155-y [13] DOI: 10.1007/BF01766602 · Zbl 0593.34039 · doi:10.1007/BF01766602 [14] Lovelady, Hiroshima Math. J. 6 pp 451– (1976) [15] DOI: 10.1016/S0362-546X(02)00283-3 · Zbl 1076.34074 · doi:10.1016/S0362-546X(02)00283-3 [16] DOI: 10.1007/s10231-004-0100-1 · Zbl 1223.34041 · doi:10.1007/s10231-004-0100-1 [17] DOI: 10.1016/j.mcm.2005.12.005 · Zbl 1141.34036 · doi:10.1016/j.mcm.2005.12.005 [18] DOI: 10.1016/S0362-546X(03)00089-0 · Zbl 1034.34045 · doi:10.1016/S0362-546X(03)00089-0 [19] DOI: 10.1016/S0096-3003(02)00801-9 · Zbl 1045.34009 · doi:10.1016/S0096-3003(02)00801-9 [20] DOI: 10.1016/S0362-546X(01)00877-X · Zbl 1021.34021 · doi:10.1016/S0362-546X(01)00877-X [21] DOI: 10.1007/s10255-005-0264-5 · Zbl 1114.34019 · doi:10.1007/s10255-005-0264-5 [22] Philos, Electron. J. Differential Equations 2005 pp 1– (2005) [23] DOI: 10.1016/0362-546X(82)90077-3 · Zbl 0492.34066 · doi:10.1016/0362-546X(82)90077-3 [24] Philos, J. Austral. Math. Soc. Series A 32 pp 295– (1982) [25] DOI: 10.1016/j.na.2004.08.011 · Zbl 1094.34032 · doi:10.1016/j.na.2004.08.011 [26] Philos, Arch. Math. (Basel) 36 pp 168– (1981) · Zbl 0463.34050 · doi:10.1007/BF01223686 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.