Stochastic Equations of Hyperbolic Type and a Two-Parameter Stratonovich Calculus
Stochastic Equations of Hyperbolic Type and a Two-Parameter Stratonovich Calculus
Existence, uniqueness, and a Markov property are proved for the solutions of a hyperbolic equation with a white Gaussian noise driving term. A two-parameter analog of the Stratonovich stochastic integral is introduced and is used to formulate integral versions of the hyperbolic equation. The stochastic calculus associated with the Stratonovich …