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Contemporary Mathematics. Fundamental Directions, 2010, Volume 36, Pages 87–111 (Mi cmfd158)  
This article is cited in 3 scientific papers (total in 3 papers)

Boundary-value problems for fourth-order equations of hyperbolic and composite types

V. I. Korzyuk, O. A. Konopel'ko, E. S. Cheb

Belarusian State University, Belarus', Minsk
Full-text PDF (317 kB) Citations (3)
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Abstract: Boundary-value problems for fourth-order linear partial differential equations of hyperbolic and composite types are studied. The method of energy inequalities and averaging operators with variable step is used to prove existence and uniqueness theorems for strong solutions. The Riesz theorem on the representation of linear continuous functionals in Hilbert spaces is used to prove the existence and uniqueness theorems for generalized solutions.
English version:
Journal of Mathematical Sciences, 2010, Volume 171, Issue 1, Pages 89–115
DOI: https://doi.org/10.1007/s10958-010-0128-2
Bibliographic databases:
Document Type: Article
UDC: 517.951+517.956
Language: Russian
Citation: V. I. Korzyuk, O. A. Konopel'ko, E. S. Cheb, “Boundary-value problems for fourth-order equations of hyperbolic and composite types”, Proceedings of the Fifth International Conference on Differential and Functional-Differential Equations (Moscow, August 17–24, 2008). Part 2, CMFD, 36, PFUR, M., 2010, 87–111; Journal of Mathematical Sciences, 171:1 (2010), 89–115
Citation in format AMSBIB
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\paper Boundary-value problems for fourth-order equations of hyperbolic and composite types
\inbook Proceedings of the Fifth International Conference on Differential and Functional-Differential Equations (Moscow, August 17--24, 2008). Part~2
\serial CMFD
\yr 2010
\vol 36
\pages 87--111
\publ PFUR
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\jour Journal of Mathematical Sciences
\yr 2010
\vol 171
\issue 1
\pages 89--115
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Современная математика. Фундаментальные направления
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