Variational methods for a class of nonlocal functionals

M. E. Drakhlin; E. Litsyn; E. Stepanov

doi:10.1016/s0898-1221(99)00061-9

Variational methods for a class of nonlocal functionals

M. E. Drakhlin, E. Litsyn, E. Stepanov

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

6 Scopus citations

Abstract

The paper gives on overview of recent developments and presents some new results for variational problems involving functionals with nonlocal transformation of argument, in particular, argument deviation.

Original language	English
Pages (from-to)	79-100
Number of pages	22
Journal	Computers and Mathematics with Applications
Volume	37
Issue number	4-5
DOIs	https://doi.org/10.1016/s0898-1221(99)00061-9
State	Published - 1 Jan 1999
Externally published	Yes

Keywords

Calculus of variations
Hereditary systems
Inner superposition
Optimal control

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/s0898-1221(99)00061-9

Cite this

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title = "Variational methods for a class of nonlocal functionals",

abstract = "The paper gives on overview of recent developments and presents some new results for variational problems involving functionals with nonlocal transformation of argument, in particular, argument deviation.",

keywords = "Calculus of variations, Hereditary systems, Inner superposition, Optimal control",

author = "Drakhlin, {M. E.} and E. Litsyn and E. Stepanov",

note = "Funding Information: The third author is grateful to E. De Giorgi (Scuola Normale Superiore, Pisa, Italy) for many fruitfuld iscussions. The first and the second authors acknowledge the partial financial support of the Israeli Ministry of Science and Arts.",

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AU - Drakhlin, M. E.

AU - Litsyn, E.

AU - Stepanov, E.

N1 - Funding Information: The third author is grateful to E. De Giorgi (Scuola Normale Superiore, Pisa, Italy) for many fruitfuld iscussions. The first and the second authors acknowledge the partial financial support of the Israeli Ministry of Science and Arts.

PY - 1999/1/1

Y1 - 1999/1/1

N2 - The paper gives on overview of recent developments and presents some new results for variational problems involving functionals with nonlocal transformation of argument, in particular, argument deviation.

AB - The paper gives on overview of recent developments and presents some new results for variational problems involving functionals with nonlocal transformation of argument, in particular, argument deviation.

KW - Calculus of variations

KW - Hereditary systems

KW - Inner superposition

KW - Optimal control

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U2 - 10.1016/s0898-1221(99)00061-9

DO - 10.1016/s0898-1221(99)00061-9

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JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

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ER -

Variational methods for a class of nonlocal functionals

Abstract

Keywords

ASJC Scopus subject areas

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