Solution estimates for abstract nonlinear time-variant differential-delay equations

M. I. Gil'

doi:10.1016/S0022-247X(02)00044-6

Solution estimates for abstract nonlinear time-variant differential-delay equations

M. I. Gil'

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Semilinear time-variant functional-differential equations in a Banach space are considered. A solution estimate is derived. By that estimate, explicit conditions for boundedness of solutions and stability are established.

Original language	English
Pages (from-to)	51-65
Number of pages	15
Journal	Journal of Mathematical Analysis and Applications
Volume	270
Issue number	1
DOIs	https://doi.org/10.1016/S0022-247X(02)00044-6
State	Published - 1 Jun 2002

Keywords

Abstract differential-delay equations
Boundedness
Retarded parabolic systems
Stability

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/S0022-247X(02)00044-6

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@article{04e8cec2bdad4176a7b210466485f162,

title = "Solution estimates for abstract nonlinear time-variant differential-delay equations",

abstract = "Semilinear time-variant functional-differential equations in a Banach space are considered. A solution estimate is derived. By that estimate, explicit conditions for boundedness of solutions and stability are established.",

keywords = "Abstract differential-delay equations, Boundedness, Retarded parabolic systems, Stability",

author = "Gil', \{M. I.\}",

note = "Funding Information: ✩ This research was supported by the Israel Ministry of Science and Technology. E-mail address: [email protected].",

year = "2002",

month = jun,

day = "1",

doi = "10.1016/S0022-247X(02)00044-6",

language = "English",

volume = "270",

pages = "51--65",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

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TY - JOUR

T1 - Solution estimates for abstract nonlinear time-variant differential-delay equations

AU - Gil', M. I.

N1 - Funding Information: ✩ This research was supported by the Israel Ministry of Science and Technology. E-mail address: [email protected].

PY - 2002/6/1

Y1 - 2002/6/1

N2 - Semilinear time-variant functional-differential equations in a Banach space are considered. A solution estimate is derived. By that estimate, explicit conditions for boundedness of solutions and stability are established.

AB - Semilinear time-variant functional-differential equations in a Banach space are considered. A solution estimate is derived. By that estimate, explicit conditions for boundedness of solutions and stability are established.

KW - Abstract differential-delay equations

KW - Boundedness

KW - Retarded parabolic systems

KW - Stability

UR - https://www.scopus.com/pages/publications/0036600481

U2 - 10.1016/S0022-247X(02)00044-6

DO - 10.1016/S0022-247X(02)00044-6

M3 - Article

AN - SCOPUS:0036600481

SN - 0022-247X

VL - 270

SP - 51

EP - 65

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Solution estimates for abstract nonlinear time-variant differential-delay equations

Abstract

Keywords

ASJC Scopus subject areas

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