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A Monotone Method for Infinite System of Nonlinear Boundary Value Problems

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A Monotone Method for Infinite System of Nonlinear Boundary Value Problems

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dc.contributor.author Lakshmikantham, V. en
dc.contributor.author Chandra, Jagdish en
dc.contributor.author Leela, S. en
dc.date.accessioned 2010-06-01T18:53:57Z en
dc.date.available 2010-06-01T18:53:57Z en
dc.date.issued 1976-08 en
dc.identifier.uri http://hdl.handle.net/10106/2208 en
dc.description.abstract Monotone iterative methods have been successfully used to generate improvable two-sided point-wise bounds on solutions of nonlinear boundary value problems for both ordinary and partial differential equations. While such procedures take a simple form when the nonlinearities are independent of gradient terms [6,9], the extension of such techniques to fully nonlinear problems has been quite formidable. In the case of scalar ordinary differential equations of the type (1.1) [see PDF for equation] such results have been obtained making use of either a linear maximum principle (3,1] or a nonlinear maximum principle [4]. In either case an essential use is made of a Nagumo-type condition [5] for deriving uniform estimates on the gradient. The lack of similar tools for higher dimensional problems has impeded comparable progress in obtaining similar results for equations of the type. en
dc.language.iso en_US en
dc.publisher University of Texas at Arlington en
dc.relation.ispartofseries Technical Report;46 en
dc.subject Nagumo-type condition en
dc.subject Monotone iterative en
dc.subject Nonlinear bvp en
dc.subject.lcsh Mathematics Research en
dc.title A Monotone Method for Infinite System of Nonlinear Boundary Value Problems en
dc.type Technical Report en
dc.publisher.department Department of Mathematics en

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