We prove that it is possible to approximate the solutions of a nonlinear periodic boundary value problem via monotone sequences starting at piecewise continuous upper and lower solutions. In fact, we present here two different iterative methods. Explicit expression of each iteration is obtained by s
✦ LIBER ✦
On the method of upper and lower solutions for discontinuous boundary value problems
✍ Scribed by Seppo Heikkilä; V. Lakshmikantham
- Book ID
- 107967636
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 649 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
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In this paper, we are concerned with the fourth-order two-point boundary value problem By placing certain restrictions on the nonlinear term f , we obtain the existence results for the fourth-order two-point boundary value problem via the lower and upper solution method. In particular, a new trunca