𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Monotone method for the Neumann problem with lower and upper solutions in the reverse order

✍ Scribed by Alberto Cabada; Patrick Habets; Susana Lois

Book ID
108396193
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
127 KB
Volume
117
Category
Article
ISSN
0096-3003

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

The monotone method for Neumann function
The monotone method for Neumann functional differential equations with upper and lower solutions in the reverse order
✍ Daqing Jiang; Ying Yang; Jifeng Chu; Donal O’Regan πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 277 KB

In this paper, we show that the monotone technique produces two monotone sequences that converge uniformly to extremal solutions of second order functional differential equations and Ο†-Laplacian equations with Neumann boundary value conditions. Moreover, we obtain existence results assuming upper an

The monotone method for periodic differe
The monotone method for periodic differential equations with the non well-ordered upper and lower solutions
✍ Aijun Yang; Weigao Ge πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 465 KB

In this paper, we consider the following periodic problem: The unique solution is obtained by constructing an auxiliary periodic system with bounded solutions and proving these bounds to be equal, in which case they are the expected unique solution.

The upper and lower solution method for
The upper and lower solution method for some fourth-order boundary value problems
✍ Zhanbing Bai πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 182 KB

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

Extremal solutions for the first order i
Extremal solutions for the first order impulsive functional differential equations with upper and lower solutions in reversed order
✍ Guotao Wang; Lihong Zhang; Guangxing Song πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 300 KB

boundary conditions a b s t r a c t This paper studies the existence of solutions of first order impulsive functional differential equations with lower and upper solutions in the reversed order, obtains the sufficient conditions for the existence of solutions by establishing a new comparison princip