The equations of homogeneous string vibration with random Orlicz initial conditions

Authors

  • A. Slyvka-Tylyshchak Taras Shevchenko National University, 64/13 Volodymyrska str., 01601, Kyiv, Ukraine

Keywords:

homogeneous string vibration equation, stochastic processes in Orlicz space, correlation functions
Published online: 2012-12-27

Abstract

The conditions of existence with probability one of twice continuously differentiated solution formulating in terms of correlation functions of the boundary-value problems of homogeneous string vibration with random strongly Orlicz initial conditions are found. The estimation for distribution of supremum of this problem has been got too.

How to Cite
(1)
Slyvka-Tylyshchak, A. The Equations of Homogeneous String Vibration With Random Orlicz Initial Conditions. Carpathian Math. Publ. 2012, 4, 316-327.