Existence and Regularity of Solutions for Some Partial Integrodifferential Equations Involving the Nonlocal Conditions. (3rd October 2019)

• Record Type: Journal Article
• Authors: Ezzinbi, Khalil; Ghnimi, Saifeddine
• Is Part Of: Numerical functional analysis and optimization. Volume 40:Number 13(2019)
• Page Start: 1532
• Page End: 1549
• Publication Date: 2019-10-03
• Subjects: Mild solution -- nonlocal condition -- partial integrodifferential equation -- resolvent operator -- strict solution; 45K05 -- 47H10 -- 47D06; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2019.1604547
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: The aim of this work is to prove some results about the existence and regularity of solutions for some partial integrodifferential equations with nonlocal conditions. We suppose that the linear part has a resolvent operator in the sens given by Grimmer. The non linear part is assumed to be continuous and Lipschitzian with respect to the second argument.