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Existence results for impulsive second-order periodic problems

✍ Scribed by Irena Rachůnková; Milan Tvrdý

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
219 KB
Volume
59
Category
Article
ISSN
0362-546X

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✦ Synopsis

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 of our previous papers.

📜 SIMILAR VOLUMES

Periodic boundary value problems for sec
Periodic boundary value problems for second-order impulsive integro-differential equations
✍ Xuxin Yang; Jianhua Shen 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 180 KB

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.