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Upper and Lower Solutions Method for Fourth-Order Periodic Boundary Value Problems
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S. Weng
Veröffentlicht/Copyright:
9. Juni 2010
Abstract
The purpose of this paper is to prove the existence of a solution of the following periodic boundary value problem
in the presence of an upper solution β and a lower solution α with β ≤ α, where ƒ(t, u, v) satisfies one side Lipschitz condition.
Key words and phrases.: Periodic boundary value problem; existence; upper and lower solutions method
Received: 2005-12-28
Revised: 2007-10-19
Published Online: 2010-06-09
Published in Print: 2008-June
© Heldermann Verlag
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- Finite Partitions of Topological Groups into Congruent Thick Subsets
- Derivatives of Markov Kernels and Their Jordan Decomposition
- Sufficiency and Duality in Control Problems with Generalized Invexity
- Koebe Domains for the Classes of Functions with Ranges Included in Given Sets
- Upper and Lower Solutions Method for Fourth-Order Periodic Boundary Value Problems
- Efficiency and Duality for Generalized Convex Multiobjective Programming
- General Mixed Vector F-Implicit Complementarity Problems in Banach Spaces
- Modelling and Products of Singularities in Colombeau's Algebra
- Set Differential Equations in Fréchet Spaces
- Positive Solutions for a Class of Nonresonant m-Point Boundary Value Problems
- Second Order Duality in Multiobjective Programming
Schlagwörter für diesen Artikel
Periodic boundary value problem;
existence;
upper and lower solutions method
Artikel in diesem Heft
- Finite Partitions of Topological Groups into Congruent Thick Subsets
- Derivatives of Markov Kernels and Their Jordan Decomposition
- Sufficiency and Duality in Control Problems with Generalized Invexity
- Koebe Domains for the Classes of Functions with Ranges Included in Given Sets
- Upper and Lower Solutions Method for Fourth-Order Periodic Boundary Value Problems
- Efficiency and Duality for Generalized Convex Multiobjective Programming
- General Mixed Vector F-Implicit Complementarity Problems in Banach Spaces
- Modelling and Products of Singularities in Colombeau's Algebra
- Set Differential Equations in Fréchet Spaces
- Positive Solutions for a Class of Nonresonant m-Point Boundary Value Problems
- Second Order Duality in Multiobjective Programming
