Volume 92,   №5

INVERSE TRANSFORMS OF OPERATIONAL IMAGES IN MATHEMATICAL MODELS OF GENERALIZED PROBLEMS FOR HYPERBOLIC-TYPE EQUATIONS



Consideration has been given to a series of operational (after Laplace) nonstandard images whose inverse transforms are absent from the existing operational-calculus handbooks. The indicated images are involved in operational solutions to a wide class of generalized boundary-value problems based on hyperbolic-type equations that take account of the fi nite velocity of propagation of physical-fi eld potentials, and also in solutions to the problems of hydrodynamics, vibration theory, and thermomechanics that have been obtained with account of the relaxation properties of a medium. New equivalent analytical solutions to generalized boundary-value problems for a partially bounded domain have been obtained. The presented relations can be used for constructing mathematical models of diverse external actions on materials
 
 
Author:  É. M. Kartashov
Keywords:  nonstandard operational images, generalized boundary-value problems, hyperbolic-type equations, equivalent analytical solutions
Page:  1098

É. M. Kartashov.  INVERSE TRANSFORMS OF OPERATIONAL IMAGES IN MATHEMATICAL MODELS OF GENERALIZED PROBLEMS FOR HYPERBOLIC-TYPE EQUATIONS //Journal of engineering physics and thermophysics. . Volume 92, №5. P. 1098 .


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