𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Existence, uniqueness and continuous dependence for implicit semilinear functional differential equations

✍ Scribed by A.G. Rutkas; L.A. Vlasenko

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
191 KB
Volume
55
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

✦ Synopsis

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 equations. In particular, a model of liquid ΓΏltration in ΓΏssured porous rocks is considered.

πŸ“œ SIMILAR VOLUMES

Existence and uniqueness results for a t
Existence and uniqueness results for a third-order implicit differential equation
✍ Yuqiang Feng πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 252 KB

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 employe