Periodic boundary value problem for first-order impulsive functional differential equations

In this paper, by means of the method of upper and lower solutions and the monotone iterative technique, the existence of minimal and maximal solutions of the periodic boundary value problem for first-order impulsive functional differential equations is considered.

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Bibliographic Details
Published inJournal of computational and applied mathematics Vol. 138; no. 2; pp. 205 - 217
Main Authors He, Zhimin, Yu, Jianshe
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 15.01.2002
Elsevier
Subjects
Exact sciences and technology
Impulsive functional differential equation
Mathematical analysis
Mathematics
Monotone iterative technique
Ordinary differential equations
Periodic boundary value problem
Sciences and techniques of general use
Upper and lower solution
34B05
Monotone iterative technique
Periodic boundary value problem
34A37
Upper and lower solution
Impulsive functional differential equation
Boundary value problem
Linear equation
Differential equation
Functional equation
Impulsive equation
Iterative method
Monotonicity
Periodic system
Equation system
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Summary:In this paper, by means of the method of upper and lower solutions and the monotone iterative technique, the existence of minimal and maximal solutions of the periodic boundary value problem for first-order impulsive functional differential equations is considered.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0377-0427
1879-1778
DOI:10.1016/S0377-0427(01)00381-8