Kneser’s theorem for weak solutions of an integral equation with weakly singular kernel | Zendy

Aldona Dutkiewicz | Zendy; Staniśław Szufla | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Kneser’s theorem for weak solutions of an integral equation with weakly singular kernel

Author(s) -

Aldona Dutkiewicz,

Staniśław Szufla

Publication year - 2005

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim0591087d

Subject(s) - mathematics , integral equation , kernel (algebra) , volterra integral equation , mathematical analysis , pure mathematics , volterra equations , set (abstract data type) , physics , nonlinear system , computer science , quantum mechanics , programming language

We prove that the set of all weak solutions of the Volterra integral equation (1) is nonempty, compact and connected. Assume that D = (0;a) is a compact interval in R, E is a sequentially weakly complete Banach space, B =fx2 E :kxk6 bg. We prove the existence of a weak solution of the integral equation

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research