Effective mathematical method for solution of nanstationary dynamical problems of linear ahisotropic viscoclastioity at arbitrary difference and nondifference hereditary kernels is developed in the paper. In case when the ratio of kernels of relaxation is independent on time, the known theorems are generalized and the new theorems, by means of which
the solution of fundemental dynamical problems of anisotropic inhomogeneous, viscoelasticity are reduced to solutions of corresponding problems of elastodynamics and to solutions of some one-dimensional mixed value problems for integro-differential equation in partial derivatives hyperbolic type,
are proved. The solutions of all necessary problems for arbitrary hereditary kernels are constructed. These results represent the principle of correspondence of nonstationary dynamical problems solutions of'elasticity and viscoelasticity theories in originals.
Ilyasov, M. (2012). ON ONE MATHEMATICAL METHOD FOR SOLUTION OF DYNAMICAL VISCOELASTICITY PROBLEMS. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, 52, 47-58.
AMA
Ilyasov M. ON ONE MATHEMATICAL METHOD FOR SOLUTION OF DYNAMICAL VISCOELASTICITY PROBLEMS. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. July 2012;52:47-58.
Chicago
Ilyasov, Musa. “ON ONE MATHEMATICAL METHOD FOR SOLUTION OF DYNAMICAL VISCOELASTICITY PROBLEMS”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 52, July (July 2012): 47-58.
EndNote
Ilyasov M (July 1, 2012) ON ONE MATHEMATICAL METHOD FOR SOLUTION OF DYNAMICAL VISCOELASTICITY PROBLEMS. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 52 47–58.
IEEE
M. Ilyasov, “ON ONE MATHEMATICAL METHOD FOR SOLUTION OF DYNAMICAL VISCOELASTICITY PROBLEMS”, İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, vol. 52, pp. 47–58, 2012.
ISNAD
Ilyasov, Musa. “ON ONE MATHEMATICAL METHOD FOR SOLUTION OF DYNAMICAL VISCOELASTICITY PROBLEMS”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 52 (July 2012), 47-58.
JAMA
Ilyasov M. ON ONE MATHEMATICAL METHOD FOR SOLUTION OF DYNAMICAL VISCOELASTICITY PROBLEMS. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. 2012;52:47–58.
MLA
Ilyasov, Musa. “ON ONE MATHEMATICAL METHOD FOR SOLUTION OF DYNAMICAL VISCOELASTICITY PROBLEMS”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, vol. 52, 2012, pp. 47-58.
Vancouver
Ilyasov M. ON ONE MATHEMATICAL METHOD FOR SOLUTION OF DYNAMICAL VISCOELASTICITY PROBLEMS. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. 2012;52:47-58.