On state dependent non-local conditions

Eduardo Hernández; Donal O'Regan

doi:10.1016/j.aml.2018.03.022

On state dependent non-local conditions

Eduardo Hernández
, Donal O'Regan

Mathematics

University of São Paulo

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

29 Citations (Scopus)

Abstract

We introduce a new type of non-local conditions, which we call state dependent non-local conditions, and we study existence and uniqueness of solutions for abstract differential equation subjected to this class of conditions. The non-local condition proposed generalizes several types of non-local conditions studied in the literature. Some examples are given to illustrate our theory.

Original language	English
Pages (from-to)	103-109
Number of pages	7
Journal	Applied Mathematics Letters
Volume	83
DOIs	https://doi.org/10.1016/j.aml.2018.03.022
Publication status	Published - Sep 2018

Keywords

Analytic semigroup
Mild solution
Non-local conditions
Strict solutions

Access to Document

10.1016/j.aml.2018.03.022

Cite this

@article{90811c8f8aaf426eb648992c7885649d,

title = "On state dependent non-local conditions",

abstract = "We introduce a new type of non-local conditions, which we call state dependent non-local conditions, and we study existence and uniqueness of solutions for abstract differential equation subjected to this class of conditions. The non-local condition proposed generalizes several types of non-local conditions studied in the literature. Some examples are given to illustrate our theory.",

keywords = "Analytic semigroup, Mild solution, Non-local conditions, Strict solutions",

author = "Eduardo Hern{\'a}ndez and Donal O'Regan",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Ltd",

year = "2018",

month = sep,

doi = "10.1016/j.aml.2018.03.022",

language = "English",

volume = "83",

pages = "103--109",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Ltd",

}

TY - JOUR

T1 - On state dependent non-local conditions

AU - Hernández, Eduardo

AU - O'Regan, Donal

PY - 2018/9

Y1 - 2018/9

N2 - We introduce a new type of non-local conditions, which we call state dependent non-local conditions, and we study existence and uniqueness of solutions for abstract differential equation subjected to this class of conditions. The non-local condition proposed generalizes several types of non-local conditions studied in the literature. Some examples are given to illustrate our theory.

AB - We introduce a new type of non-local conditions, which we call state dependent non-local conditions, and we study existence and uniqueness of solutions for abstract differential equation subjected to this class of conditions. The non-local condition proposed generalizes several types of non-local conditions studied in the literature. Some examples are given to illustrate our theory.

KW - Analytic semigroup

KW - Mild solution

KW - Non-local conditions

KW - Strict solutions

UR - https://www.scopus.com/pages/publications/85044920463

U2 - 10.1016/j.aml.2018.03.022

DO - 10.1016/j.aml.2018.03.022

M3 - Article

SN - 0893-9659

VL - 83

SP - 103

EP - 109

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

On state dependent non-local conditions

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this