𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Integral boundary value problems with causal operators

✍ Scribed by Yian Zhao; Guangxing Song; Xiaoyan Sun

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
290 KB
Volume
59
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

This paper considers the existence of solutions for a class of integral boundary value problems with causal operators. We build a new comparison theorem. By utilizing the monotone iterative technique and the method of lower and upper solutions, we formulate sufficient conditions under which such problems have extremal or quasisolutions in a corresponding sector.

πŸ“œ SIMILAR VOLUMES

Boundary values of integral operators
Boundary values of integral operators
✍ Torsten Hefer πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 278 KB

## Abstract Consider a differential form __u__ in the image of an integral operator __K__ on a smooth domain __D__ in a Riemannian manifold, i.e. __u__(__y__) = __Kf__(__y__) = ∫~__x__∈__D__~ __f__(__x__) ∧ __K__(__x, y__) for __y__ ∈ __D__. If the kernel __K__ of the integral operator is sufficien