On the Asymptotics of the Sojourn Probability of a Poisson Process between Two Nonlinear Boundaries That Move Away from One Another

• Дата: 2001
• Автори: Gasanenko, V. A., Гасаненко, В. А.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2001
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4216
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We obtain the complete asymptotic decomposition of the sojourn probability of a homogeneous Poisson process inside a domain with curvilinear boundaries. The coefficients of this decomposition are determined by the solutions of parabolic problems with one and two boundaries.