Basic Theory of Generalized $p$-Type Retarded Functional Differential Equations

Basic Theory of Generalized $p$-Type Retarded Functional Differential Equations

Year:    2020

Author:    Liu Yang, Meng Fan, Ravi. P Agarwal

Annals of Applied Mathematics, Vol. 36 (2020), Iss. 4 : pp. 407–415

Abstract

A new general class of retarded functional differential equations (that is, RFDEs) with unbounded delay and with finite memory is introduced. The basic theories of existence, uniqueness, continuation, and continuous dependence are developed.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2020-AAM-18588

Annals of Applied Mathematics, Vol. 36 (2020), Iss. 4 : pp. 407–415

Published online:    2020-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    $p$-RFDEs existence uniqueness continuation continuous dependence on initial value.

Author Details

Liu Yang

Meng Fan

Ravi. P Agarwal