caa a22 4500 378906011 CHVBK 20180305123530.0 cr unu---uuuuu 161128e200403 xx s 000 0 eng 10.1515/GMJ.2004.7 doi (NATIONALLICENCE)gruyter-10.1515/GMJ.2004.7 Linearization and Higher Order Nonlinear Oscillation Theorems Using Comparison Methods [Elektronische Daten] [Ravi P. Agarwal, Said R. Grace, Donal O'Regan] We establish some new oscillation criteria for higher order nonlinear differential equations. The main idea involves comparing our equation with the related linear second order differential equations so that the known oscillation theorems from the literature can be employed directly. © Heldermann Verlag Linearization nationallicence oscillation nationallicence nonoscillation nationallicence nonlinear nationallicence comparison nationallicence Agarwal Ravi P. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, U.S.A. E-mail: agarwal@fit.edu aut Grace Said R. Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, Egypt. E-mail: srgrace@alpha1-eng.cairo.eun.eg aut O'Regan Donal Department of Mathematics, National University of Ireland, Galway, Ireland. E-mail: donal.oregan@nuigalway.ie aut Georgian Mathematical Journal Walter de Gruyter GmbH & Co. KG 11/1(2004-03), 7-26 1072-947X 11:1<7 2004 11 GMJ https://doi.org/10.1515/GMJ.2004.7 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/GMJ.2004.7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Agarwal Ravi P. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, U.S.A. E-mail: agarwal@fit.edu aut NATIONALLICENCE 700 1- Grace Said R. Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, Egypt. E-mail: srgrace@alpha1-eng.cairo.eun.eg aut NATIONALLICENCE 700 1- O'Regan Donal Department of Mathematics, National University of Ireland, Galway, Ireland. E-mail: donal.oregan@nuigalway.ie aut NATIONALLICENCE 773 0- Georgian Mathematical Journal Walter de Gruyter GmbH & Co. KG 11/1(2004-03), 7-26 1072-947X 11:1<7 2004 11 GMJ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter