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Approximation of solutions for nonlinear periodic boundary value problems with discontinuous upper and lower solutions

โœ Scribed by Eduardo Liz; Rodrigo L. Pouso

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
506 KB
Volume
95
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

We prove that it is possible to approximate the solutions of a nonlinear periodic boundary value problem via monotone sequences starting at piecewise continuous upper and lower solutions. In fact, we present here two different iterative methods. Explicit expression of each iteration is obtained by solving some linear initial value problems.

๐Ÿ“œ SIMILAR VOLUMES

Mean value theorem for boundary value pr
Mean value theorem for boundary value problems with given upper and lower solutions
โœ S.K. Sen; H. Agarwal ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 881 KB

An approach based on successive application of the mean value theorem or, equivalently, a successive linear interpolation that excludes extrapolation, is described for two-point boundary value problem (BVP) associated with nonlinear ordinary differential equations (ODEs). The approach is applied to