This paper investigates the existence and multiplicity of positive solutions for a class of nonlinear boundary-value problems of fourth-order differential equations with integral boundary conditions. The arguments are based upon a specially constructed cone and the fixed-point theory in cone. The no
Initial-boundary value problems for a class of pseudoparabolic equations with integral boundary conditions
โ Scribed by Abdelfatah Bouziani
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 225 KB
- Volume
- 291
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
In this paper, we deal with a class of pseudoparabolic problems with integral boundary conditions. We will first establish an a priori estimate. Then, we prove the existence, uniqueness and continuous dependence of the solution upon the data. Finally, some extensions of the problem are given.
๐ SIMILAR VOLUMES
This paper investigates the existence and multiplicity of positive solutions for a class of nonlinear boundary-value problem of second-order differential equations with integral boundary conditions in ordered Banach spaces. The arguments are based upon a specially constructed cone and the fixed poin