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Quasi-Solutions and Monotone Method for Systems of Nonlinear Boundary Value Problems

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Quasi-Solutions and Monotone Method for Systems of Nonlinear Boundary Value Problems

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dc.contributor.author Vatsala, A. S. en
dc.contributor.author Lakshmikantham, V. en
dc.date.accessioned 2010-06-02T19:45:24Z en
dc.date.available 2010-06-02T19:45:24Z en
dc.date.issued 1980-02 en
dc.identifier.uri http://hdl.handle.net/10106/2235 en
dc.description.abstract In the study of comparison theorems, existence of extremal solutions and monotone iterative techniques for initial and boundary value problems of ordinary differential systems, it becomes necessary to impose a condition generally known as quasi-monotone property [1,3,5]. In systems which represent physical situations such as a model governing the combustion of a material, quasi-monotonicity is not satisfied, see [4]. However a kind of mixed monotone property holds. To deal with such situations the notion of quasi-solutions was systematically developed in [4]. In this paper, we investigate monotone iterative method for systems of nonlinear boundary value problems when the system possesses a mixed quasi-monotone property. This appears a natural setup for considering quasi-solutions and quasi-extremal solutions in view of the fact extremal solutions need not exist when quasi-monotone property does not hold. Furthermore, the results obtained include as special cases the known results corresponding to quasi-monotone property. en
dc.language.iso en_US en
dc.publisher University of Texas at Arlington en
dc.relation.ispartofseries Technical Report;124 en
dc.subject Quasi-monotone property en
dc.subject Quasi-solutions en
dc.subject Nonlinear boundary value problem en
dc.subject.lcsh Mathematics Research en
dc.title Quasi-Solutions and Monotone Method for Systems of Nonlinear Boundary Value Problems en
dc.type Technical Report en
dc.publisher.department Department of Mathematics en

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