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The Cauchy problem for complete second-order hyperbolic differential equations with variable domains of operator coefficients
Author(s) -
Ф. Е. Ломовцев
Publication year - 2000
Publication title -
differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.542
H-Index - 30
eISSN - 1608-3083
pISSN - 0012-2661
DOI - 10.1007/bf02754255
Subject(s) - mathematics , hyperbolic partial differential equation , ordinary differential equation , partial differential equation , cauchy problem , elliptic partial differential equation , variable (mathematics) , mathematical analysis , order (exchange) , operator (biology) , symbol of a differential operator , initial value problem , differential equation , differential algebraic equation , biochemistry , chemistry , finance , repressor , transcription factor , economics , gene
Complete second-order hyperbolic differential equations with constant domains of operator coefficients were investigated in [1, 2]. In the case of variable domains of operator coefficients, second-order hyperbolic differential equations with a two-term leading part were analyzed in [3-5]. In the present paper, we investigate second-order hyperbolic differential equations with a three-term leading part in the case of variable domains of operator coefficients.

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