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Existence and uniqueness results for a third-order implicit differential equation

✍ Scribed by Yuqiang Feng

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
252 KB
Volume
56
Category
Article
ISSN
0898-1221

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✦ Synopsis

The purpose of this paper is to give sufficient conditions for the existence and uniqueness of solutions to the boundary value problem of a third-order implicit differential equation as follows:

The lower and upper solutions method, maximum principle together with an iterative technique are employed. An example illustrates the application of results obtained.

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Existence, uniqueness and continuous dependence for implicit semilinear functional differential equations
✍ A.G. Rutkas; L.A. Vlasenko πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 191 KB

Theorems of existence, uniqueness and continuous dependence for the nonlinear functional di erential equation d=dt(Au(t)) + Bu(t) = f(t; ut) in a Banach space are proved. The unbounded operator A is, generally, degenerate. Abstract results are applied to nonlinear partial functional di erential equa