Successive Iteration and Positive Solutions for Nonlinear m-Point Boundary Value Problems on Time Scales

Author

Sang, Yanbin

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2009-10-29

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Mathematics

Abstract EN

We study the existence of positive solutions for a class of m-point boundary value problems on time scales.

Our approach is based on the monotone iterative technique and the cone expansion and compression fixed point theorem of norm type.

Without the assumption of the existence of lower and upper solutions, we do not only obtain the existence of positive solutions of the problem, but also establish the iterative schemes for approximating the solutions.

American Psychological Association (APA)

Sang, Yanbin. 2009. Successive Iteration and Positive Solutions for Nonlinear m-Point Boundary Value Problems on Time Scales. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-13.
https://search.emarefa.net/detail/BIM-485584

Modern Language Association (MLA)

Sang, Yanbin. Successive Iteration and Positive Solutions for Nonlinear m-Point Boundary Value Problems on Time Scales. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-13.
https://search.emarefa.net/detail/BIM-485584

American Medical Association (AMA)

Sang, Yanbin. Successive Iteration and Positive Solutions for Nonlinear m-Point Boundary Value Problems on Time Scales. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-13.
https://search.emarefa.net/detail/BIM-485584

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-485584