Alternative iterative technique

The standard methods of applying iterative techniques do not apply when the nonlinear term is neither monotonic (corresponding to an increasing or decreasing operator) nor Lipschitz (corresponding to a condensing operator). However, by applying the Layered Compression–Expansion Theorem in conjunctio...

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Bibliographic Details
Main Authors: Avery Richard I.
Anderson Douglas R.
Henderson Johnny
Format: Serial
Published: 2019
Series:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Operátor, Határérték probléma
doi:10.14232/ejqtde.2019.1.51

Online Access:http://acta.bibl.u-szeged.hu/62275
Description
Summary:The standard methods of applying iterative techniques do not apply when the nonlinear term is neither monotonic (corresponding to an increasing or decreasing operator) nor Lipschitz (corresponding to a condensing operator). However, by applying the Layered Compression–Expansion Theorem in conjunction with an alternative inversion technique, we show how one can apply monotonicity techniques to a right focal boundary value problem.
Physical Description:1-7
ISSN:1417-3875