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Existence of asymptotically stable solutions for a mixed functional nonlinear integral equation in N variables
Author(s) -
Ngoc Le Thi Phuong,
Long Nguyen Thanh
Publication year - 2015
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201300065
Subject(s) - mathematics , banach space , fixed point theorem , nonlinear system , integral equation , mathematical analysis , type (biology) , order (exchange) , fixed point , functional equation , pure mathematics , differential equation , ecology , physics , finance , quantum mechanics , economics , biology
Motivated by recent known results about the solvability of nonlinear functional integral equations in one, two or N variables, this paper proves the existence of asymptotically stable solutions for a mixed functional integral equation in N variables with values in a general Banach space via a fixed point theorem of Krasnosels'kiĭ type. In order to illustrate the results obtained here, an example is given.