Periodic boundary value problem for the second-order impulsive functional differential equations
نویسندگان
چکیده
منابع مشابه
Boundary value problem for second-order impulsive functional differential equations
This paper discusses a kind of linear boundary value problem for a nonlinear second order impulsive functional differential equations. We establish several existence results by using the lower and upper solutions and monotone iterative techniques. An example is discussed to illustrate the efficiency of the obtained result. © 2005 Elsevier Inc. All rights reserved.
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Upper and lower solution method plays an important role in studying boundary value problems for nonlinear differential equations; see 1 and the references therein. Recently, many authors are devoted to extend its applications to boundary value problems of functional differential equations 2–5 . Suppose α is one upper solution or lower solution of periodic boundary value problems for second-orde...
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where ω > 0, : C([0,ω]) → L([0,ω]) is a linear bounded operator and q ∈ L([0,ω]). By a solution of the problem (1.1), (1.2) we understand a function u ∈ C̃′([0,ω]), which satisfies (1.1) almost everywhere on [0,ω] and satisfies the conditions (1.2). The periodic boundary value problem for functional differential equations has been studied by many authors (see, for instance, [1, 2, 3, 4, 5, 6, 8,...
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*Correspondence: [email protected] 1Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, 10520, Thailand 2Centre of Excellence in Mathematics, CHE, Sri Ayutthaya Road, Bangkok, 10400, Thailand Full list of author information is available at the end of the article Abstract This paper is concerned with the existence of extremal solution...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2005
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2005.03.010