Bounded solutions of a class of hyperbolic equations on the plane

Bounded solutions of a class of hyperbolic equations on the plane

For a class of second-order partial differential equations of the hyperbolic type with constant coefficients, we study the existence and representation of solutions bounded on the entire plane.

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Veröffentlicht in:Differential equations 2016, Vol.52 (1), p.84-91
Hauptverfasser: Mukhamadiev, E., Naimov, A. N., Sattorov, A. Kh
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Banach spaces
Constants
Difference and Functional Equations
Differential equations
Eigenvalues
Integral equations
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Planes
Representations
Studies
Theorems
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Beschreibung
Zusammenfassung:For a class of second-order partial differential equations of the hyperbolic type with constant coefficients, we study the existence and representation of solutions bounded on the entire plane.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266116010079