Upper and Lower Solutions Method for Fourth-Order Periodic Boundary Value Problems
نویسندگان
چکیده
منابع مشابه
Upper and Lower Solutions Method for Fourth-order Periodic Boundary Value Problems
The purpose of this paper is to prove the existence of a solution of the following periodic boundary value problem ( u(t) = f(t, u(t), u′′(t)), t ∈ [0, 2π] u(0) = u(2π), u′(0) = u′(2π), u′′(0) = u′′(2π), u′′′(0) = u′′′(2π) in the presence of an upper solution β and a lower solution α with β ≤ α, where f(t, u, v) satisfies one side Lipschitz condition.
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ژورنال
عنوان ژورنال: Journal of Applied Analysis
سال: 2008
ISSN: 1425-6908,1869-6082
DOI: 10.1515/jaa.2008.53