Existence and precise asymptotics of positive solutions for a class of nonlinear differential equations of the third order
Existence and precise asymptotics of positive solutions for a class of nonlinear differential...
Jaroš, Jaroslav; Kusano, Takaŝi; Tanigawa, Tomoyuki
2013-09-01 00:00:00
Abstract. Our purpose here is to show that an application of the theory of regular variation (in the sense of Karamata) gives the possibility of determining the existence and precise asymptotic behavior of positive solutions of the third-order nonlinear differential equation , where and are positive constants satisfying , is a continuous regularly varying function and , .
http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.pngGeorgian Mathematical Journalde Gruyterhttp://www.deepdyve.com/lp/de-gruyter/existence-and-precise-asymptotics-of-positive-solutions-for-a-class-of-b7zbPiwIPu
Existence and precise asymptotics of positive solutions for a class of nonlinear differential equations of the third order
Abstract. Our purpose here is to show that an application of the theory of regular variation (in the sense of Karamata) gives the possibility of determining the existence and precise asymptotic behavior of positive solutions of the third-order nonlinear differential equation , where and are positive constants satisfying , is a continuous regularly varying function and , .
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