A boundary value problem on the half-line for higher-order nonlinear differential equations
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Philos, C. G.
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Cambridge University Press (CUP)
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peer reviewed
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Proceedings of the Royal Society of Edinburgh Section a-Mathematics
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This article is devoted to the study of the existence of solutions as well as the existence and uniqueness of solutions to a boundary-value problem oil the half-line for higher-order nonlinear ordinary differential equations. An existence result is obtained by the use of the Schauder-Tikhonov theorem. Furthermore, an existence and uniqueness criterion is established using the Banach contraction principle. These two results are applied, in particular, to the specific class of higher-order nonlinear ordinary differential equations of Emden-Fowler type and to the special case of higher-order linear ordinary differential equations, respectively. Moreover, some (general or specific) examples demonstrating the applicability Of Our results are given.
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prescribed asymptotic-behavior, positive solutions, global-solutions, deviating arguments, unbounded solutions, 2nd-order, existence, integration
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<Go to ISI>://000271172400005
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en
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Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών