New Existence Results and Comparison Principles for Impulsive Integral Boundary Value Problem with Lower and Upper Solutions in Reversed Order
- Resource Type
- article
- Authors
- Song Guangxing; Wang Guotao; Zhang Lihong
- Source
- Advances in Difference Equations, Vol 2011, Iss 1, p 783726 (2011)
- Subject
- Mathematics
QA1-939
- Language
- English
- ISSN
- 1687-1839
1687-1847
This paper investigates the existence of the extremal solutions to the integral boundary value problem for first-order impulsive functional integrodifferential equations with deviating arguments under the assumption of existing upper and lower solutions in the reversed order. The sufficient conditions for the existence of solutions were obtained by establishing several new comparison principles and using the monotone iterative technique. At last, a concrete example is presented and solved to illustrate the obtained results.