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

31 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 - Sept 2018

Keywords

Analytic semigroup
Mild solution
Non-local conditions
Strict solutions

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10.1016/j.aml.2018.03.022

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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",

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year = "2018",

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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

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