On One Case of Existence of Homogeneous Solutions
- 14 Downloads
We present necessary and sufficient conditions for the existence of a homogeneous solution for a class of partial differential equations with a homogeneous random perturbation in a Banach space.
KeywordsDifferential Equation Banach Space Partial Differential Equation Homogeneous Solution Random Perturbation
Unable to display preview. Download preview PDF.
- 1.V. M. Kruglov, Additional Chapters in Probability Theory [in Russian], Vysshaya Shkola, Moscow (1984).Google Scholar
- 2.E. Hille and R. S. Phillips, Functional Analysis and Semigroups [Russian translation], Izd. Inostr. Lit., Moscow (1962).Google Scholar
- 3.A. Ya. Dorogovtsev, Periodic and Stationary Modes of Infinite-dimensional Deterministic and Stochastic Dynamical Systems [in Russian], Vyshcha Shkola, Kiev (1992).Google Scholar