KFU. Card publication. Global classical solutions of some two-dimensional hyperbolic differential-difference equations

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FEDERAL UNIVERSITY

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GLOBAL CLASSICAL SOLUTIONS OF SOME TWO-DIMENSIONAL HYPERBOLIC DIFFERENTIAL-DIFFERENCE EQUATIONS

Form of presentation

Articles in Russian journals and collections

Year of publication

2020

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Authors, employees of KFU

Zayceva Natalya Vladimirovna, author

Bibliographic description in the original language

Zaitseva N.V. Global classical solutions of some two-dimensional hyperbolic differential-difference equations // Differential Equations. - 2020. - Vol. 56, no. 6. - P. 734-739.

Annotation

For a two-dimensional hyperbolic equation with a differential-difference operator acting with respect to the spatial variable, we construct a one-parameter family of global solutions. We prove that these solutions are classical for all values of the real parameter provided that the real part of the symbol of the difference operator occurring in the equation is positive. We present a class of equations for which this condition is satisfied.

Keywords

hyperbolic equation, differential-difference equation

The name of the journal

Differential Equations

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=235804&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Zayceva Natalya Vladimirovna	ru_RU
dc.date.accessioned	2020-01-01T00:00:00Z	ru_RU
dc.date.available	2020-01-01T00:00:00Z	ru_RU
dc.date.issued	2020	ru_RU
dc.identifier.citation	Zaitseva N.V. Global classical solutions of some two-dimensional hyperbolic differential-difference equations // Differential Equations. - 2020. - Vol. 56, no. 6. - P. 734-739.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=235804&p_lang=2	ru_RU
dc.description.abstract	Differential Equations	ru_RU
dc.description.abstract	For a two-dimensional hyperbolic equation with a differential-difference operator acting with respect to the spatial variable, we construct a one-parameter family of global solutions. We prove that these solutions are classical for all values of the real parameter provided that the real part of the symbol of the difference operator occurring in the equation is positive. We present a class of equations for which this condition is satisfied.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	hyperbolic equation	ru_RU
dc.subject	differential-difference equation	ru_RU
dc.title	Global classical solutions of some two-dimensional hyperbolic differential-difference equations	ru_RU
dc.type	Articles in Russian journals and collections	ru_RU