The Existence and Uniqueness of Solutions of a Class of Evolution Equations

Journal Home
Volume 37 - 2024
- Vol. 37, Issue 4 pp.355-490
- Vol. 37, Issue 3 pp.235-354
- Vol. 37, Issue 2 pp.121-234
- Vol. 37, Issue 1 pp.1-120
Volume 36 - 2023
- Vol. 36, Issue 4 pp.331-453
- Vol. 36, Issue 3 pp.235-330
- Vol. 36, Issue 2 pp.119-234
- Vol. 36, Issue 1 pp.1-118
Volume 35 - 2022
- Vol. 35, Issue 4 pp.307-408
- Vol. 35, Issue 3 pp.199-306
- Vol. 35, Issue 2 pp.101-198
- Vol. 35, Issue 1 pp.1-100
Volume 34 - 2021
- Vol. 34, Issue 4 pp.297-392
- Vol. 34, Issue 3 pp.201-296
- Vol. 34, Issue 2 pp.103-200
- Vol. 34, Issue 1 pp.1-102
Volume 33 - 2020
- Vol. 33, Issue 4 pp.291-394
- Vol. 33, Issue 3 pp.193-290
- Vol. 33, Issue 2 pp.93-192
- Vol. 33, Issue 1 pp.1-92
Volume 32 - 2019
- Vol. 32, Issue 4 pp.293-380
- Vol. 32, Issue 3 pp.191-292
- Vol. 32, Issue 2 pp.93-190
- Vol. 32, Issue 1 pp.1-92
Volume 31 - 2018
- Vol. 31, Issue 4 pp.291-384
- Vol. 31, Issue 3 pp.193-290
- Vol. 31, Issue 2 pp.97-192
- Vol. 31, Issue 1 pp.1-96
Volume 30 - 2017
- Vol. 30, Issue 4 pp.281-380
- Vol. 30, Issue 3 pp.189-280
- Vol. 30, Issue 2 pp.95-188
- Vol. 30, Issue 1 pp.1-94
Volume 29 - 2016
- Vol. 29, Issue 4 pp.255-359
- Vol. 29, Issue 3 pp.161-254
- Vol. 29, Issue 2 pp.89-160
- Vol. 29, Issue 1 pp.1-88
Volume 28 - 2015
- Vol. 28, Issue 4 pp.291-382
- Vol. 28, Issue 3 pp.197-290
- Vol. 28, Issue 2 pp.95-196
- Vol. 28, Issue 1 pp.1-94
Volume 27 - 2014
- Vol. 27, Issue 4 pp.283-372
- Vol. 27, Issue 3 pp.189-282
- Vol. 27, Issue 2 pp.95-188
- Vol. 27, Issue 1 pp.1-94
Volume 26 - 2013
- Vol. 26, Issue 4 pp.289-385
- Vol. 26, Issue 3 pp.193-288
- Vol. 26, Issue 2 pp.99-192
- Vol. 26, Issue 1 pp.1-98
Volume 25 - 2012
- Vol. 25, Issue 4 pp.295-387
- Vol. 25, Issue 3 pp.199-294
- Vol. 25, Issue 2 pp.103-198
- Vol. 25, Issue 1 pp.1-102
Volume 24 - 2011
- Vol. 24, Issue 4 pp.289-385
- Vol. 24, Issue 3 pp.195-288
- Vol. 24, Issue 2 pp.97-194
- Vol. 24, Issue 1 pp.1-96
Volume 23 - 2010
- Vol. 23, Issue 4 pp.305-401
- Vol. 23, Issue 3 pp.209-304
- Vol. 23, Issue 2 pp.105-208
- Vol. 23, Issue 1 pp.1-104
Volume 22 - 2009
- Vol. 22, Issue 4 pp.299-393
- Vol. 22, Issue 3 pp.199-298
- Vol. 22, Issue 2 pp.97-198
- Vol. 22, Issue 1 pp.1-96
Volume 21 - 2008
- Vol. 21, Issue 4 pp.289-383
- Vol. 21, Issue 3 pp.193-288
- Vol. 21, Issue 2 pp.97-192
- Vol. 21, Issue 1 pp.1-96
Volume 20 - 2007
- Vol. 20, Issue 4 pp.289-384
- Vol. 20, Issue 3 pp.193-288
- Vol. 20, Issue 2 pp.97-192
- Vol. 20, Issue 1 pp.1-96
Volume 19 - 2006
- Vol. 19, Issue 4 pp.289-383
- Vol. 19, Issue 3 pp.193-288
- Vol. 19, Issue 2 pp.97-192
- Vol. 19, Issue 1 pp.1-96
Volume 18 - 2005
- Vol. 18, Issue 4 pp.289-383
- Vol. 18, Issue 3 pp.193-288
- Vol. 18, Issue 2 pp.97-192
- Vol. 18, Issue 1 pp.1-96
Volume 17 - 2004
- Vol. 17, Issue 4 pp.289-383
- Vol. 17, Issue 3 pp.193-288
- Vol. 17, Issue 2 pp.97-192
- Vol. 17, Issue 1 pp.1-96
Volume 16 - 2003
- Vol. 16, Issue 4 pp.289-383
- Vol. 16, Issue 3 pp.193-288
- Vol. 16, Issue 2 pp.97-192
- Vol. 16, Issue 1 pp.1-96
Volume 15 - 2002
- Vol. 15, Issue 4 pp.1-95
- Vol. 15, Issue 3 pp.1-80
- Vol. 15, Issue 2 pp.1-96
- Vol. 15, Issue 1 pp.1-96
Volume 14 - 2001
- Vol. 14, Issue 4 pp.289-383
- Vol. 14, Issue 3 pp.193-288
- Vol. 14, Issue 2 pp.97-192
- Vol. 14, Issue 1 pp.1-96
Volume 13 - 2000
- Vol. 13, Issue 4 pp.289-383
- Vol. 13, Issue 3 pp.193-288
- Vol. 13, Issue 2 pp.97-192
- Vol. 13, Issue 1 pp.1-96
Volume 12 - 1999
- Vol. 12, Issue 4 pp.289-383
- Vol. 12, Issue 3 pp.193-288
- Vol. 12, Issue 2 pp.97-192
- Vol. 12, Issue 1 pp.1-96
Volume 11 - 1998
- Vol. 11, Issue 4 pp.289-383
- Vol. 11, Issue 3 pp.193-288
- Vol. 11, Issue 2 pp.97-192
- Vol. 11, Issue 1 pp.1-96
Volume 10 - 1997
- Vol. 10, Issue 4 pp.289-383
- Vol. 10, Issue 3 pp.193-288
- Vol. 10, Issue 2 pp.97-192
- Vol. 10, Issue 1 pp.1-96
Volume 9 - 1996
- Vol. 9, Issue 4 pp.289-383
- Vol. 9, Issue 3 pp.193-288
- Vol. 9, Issue 2 pp.97-192
- Vol. 9, Issue 1 pp.1-96
Volume 8 - 1995
- Vol. 8, Issue 4 pp.289-383
- Vol. 8, Issue 3 pp.193-288
- Vol. 8, Issue 2 pp.97-192
- Vol. 8, Issue 1 pp.1-96
Volume 7 - 1994
- Vol. 7, Issue 4 pp.289-383
- Vol. 7, Issue 3 pp.193-288
- Vol. 7, Issue 2 pp.97-192
- Vol. 7, Issue 1 pp.1-96
Volume 6 - 1993
- Vol. 6, Issue 4 pp.289-384
- Vol. 6, Issue 3 pp.193-288
- Vol. 6, Issue 2 pp.97-192
- Vol. 6, Issue 1 pp.1-96
Volume 5 - 1992
- Vol. 5, Issue 4 pp.1-95
- Vol. 5, Issue 3 pp.1-96
- Vol. 5, Issue 2 pp.1-96
- Vol. 5, Issue 1 pp.1-96
Volume 4 - 1991
- Vol. 4, Issue 4 pp.1-96
- Vol. 4, Issue 3 pp.1-96
- Vol. 4, Issue 2 pp.1-96
- Vol. 4, Issue 1 pp.1-96
Volume 3 - 1990
- Vol. 3, Issue 4 pp.1-95
- Vol. 3, Issue 3 pp.1-96
- Vol. 3, Issue 2 pp.1-96
- Vol. 3, Issue 1 pp.1-96
Volume 2 - 1989
- Vol. 2, Issue 4 pp.1-95
- Vol. 2, Issue 3 pp.1-96
- Vol. 2, Issue 2 pp.1-96
- Vol. 2, Issue 1 pp.1-94
Volume 1 - 1988
- Vol. 1, Issue 2 pp.1-96
- Vol. 1, Issue 1 pp.1-95

Volume 8, Issue 3

Lushan Yang & Deming Shi

J. Part. Diff. Eq., 8 (1995), pp. 233-241.

Published online: 1995-08

Preview Purchase PDF 1855 30399

Cited by

google scholar semantic scholar

Export citation

Abstract

In this paper, a class of evolution equations which have special boundary conditions is discussed. The spectrum properties of an operator which is associated with this class of equations arc provided, and the existence and uniqueness of solutions of this class of equations is proved by the theory of pertu rbation of C_0-semigroups. In the last part of this paper, a condition which ensures the solutions to be non-negative is given. Some results of the time-independent population systems in [1-5] are our examples.

Keywords

Evolution equation C_0-semigroup

AMS Subject Headings

Email address

BibTex
RIS
TXT

@Article{JPDE-8-233, author = {Yang , Lushan and Shi , Deming}, title = {The Existence and Uniqueness of Solutions of a Class of Evolution Equations}, journal = {Journal of Partial Differential Equations}, year = {1995}, volume = {8}, number = {3}, pages = {233--241}, abstract = { In this paper, a class of evolution equations which have special boundary conditions is discussed. The spectrum properties of an operator which is associated with this class of equations arc provided, and the existence and uniqueness of solutions of this class of equations is proved by the theory of pertu rbation of C_0-semigroups. In the last part of this paper, a condition which ensures the solutions to be non-negative is given. Some results of the time-independent population systems in [1-5] are our examples.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5655.html} }

TY - JOUR T1 - The Existence and Uniqueness of Solutions of a Class of Evolution Equations AU - Yang , Lushan AU - Shi , Deming JO - Journal of Partial Differential Equations VL - 3 SP - 233 EP - 241 PY - 1995 DA - 1995/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5655.html KW - Evolution equation KW - C_0-semigroup AB - In this paper, a class of evolution equations which have special boundary conditions is discussed. The spectrum properties of an operator which is associated with this class of equations arc provided, and the existence and uniqueness of solutions of this class of equations is proved by the theory of pertu rbation of C_0-semigroups. In the last part of this paper, a condition which ensures the solutions to be non-negative is given. Some results of the time-independent population systems in [1-5] are our examples.

Yang , Lushan and Shi , Deming. (1995). The Existence and Uniqueness of Solutions of a Class of Evolution Equations. Journal of Partial Differential Equations. 8 (3). 233-241. doi:

Copy to clipboard

BibteX RIS TXT

The citation has been copied to your clipboard

- LOGIN -

- E-mail verification -

- REGISTER -