On the solvability of nonlinear integral equations in Lebesgue space | Zendy

E.M. El-Abd | Zendy

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On the solvability of nonlinear integral equations in Lebesgue space

Author(s) -

E.M. El-Abd

Publication year - 2009

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil0903203e

Subject(s) - mathematics , lebesgue integration , integrable system , nonlinear system , fixed point theorem , monotonic function , standard probability space , measure (data warehouse) , mathematical analysis , space (punctuation) , lp space , riemann integral , lebesgue measure , integral equation , pure mathematics , lebesgue's number lemma , banach space , singular integral , linguistics , philosophy , physics , quantum mechanics , database , computer science

In this paper we prove theorems on the existence of integrable and monotonic solutions of nonlinear integral equation in Lebesgue Space. The basic tool used in the proof is the fixed point theorem due to Darbo with respect to the so-called measure of weak noncompactness.

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