This paper provides existence results for the nonlinear impulsive periodic boundary value problem where f ∈ Car([0, T ]×R 2 ) and J i , M i ∈ C(R). The basic assumption is the existence of lower/upper functions 1 / 2 associated with the problem. Here, we generalize and extend the existence results
Second-order periodic problem with -Laplacian and impulses
✍ Scribed by Irena Rachůnková; Milan Tvrdý
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 151 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
By developing a new comparison result and using the monotone iterative technique, we are able to obtain existence of minimal and maximal solutions of periodic boundary value problems for second-order nonlinear impulsive integro-differential equations of mixed type.
This paper discusses anti-periodic boundary value problems of second order impulsive differential equations. By using the method of upper and lower solutions coupled with the monotone iterative technique, new existence results of coupled solutions and uniqueness of problems are obtained.