EXISTENCE OF SOLUTION OF THE DIRICHLET PROBLEM FOR THE HEAT-CONDUCTION EQUATION WITH GENERAL STOCHASTIC MEASURE

M. F. Horodnii

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EXISTENCE OF SOLUTION OF THE DIRICHLET PROBLEM FOR THE HEAT-CONDUCTION EQUATION WITH GENERAL STOCHASTIC MEASURE

机译：通用随机措施的热传导方程溶解的存在性

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摘要

We present sufficient conditions for the existence of a weak solution of the Dirichlet problem for the heat-conduction equation with random action described by an integral over the general stochastic measure.

机译：对于具有随机作用的随机动作，我们存在足够的条件来存在于具有随机动作的热剖视图的弱解的解决方案。

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《Journal of Mathematical Sciences》 |2019年第3期|249-255|共7页
作者
M. F. Horodnii;
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Shevchenko Kyiv National University Volodymyrs'ka Str. 64 Kyiv 01033 Ukraine;

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4. Existence of solutions for second-order impulsive differential equations with Dirichlet boundary conditions [C] . Dan Zhang, Binxiang Dai ICCCI 2010;International conference on computer and computational intelligence . 2010

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5. Existence of a solution for a wave equation and an elliptic Dirichlet problem. [D] . Unsurangsie, Sumalee. 1988

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6. Existence and Uniqueness of Solution for a Class of Stochastic Differential Equations [O] . Junfei Cao, Zaitang Huang, Caibin Zeng 2013

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7. On the existence and uniqueness of solutions of the Cauchy problem for wave equations with general stochastic measures [O] . D. M. Gorodnya 2013

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8. Existence and Uniqueness of Solutions of Nuclear Space-Valued StochasticDifferential Equations Driven by Poisson Random Measures [R] . Kallianpur, G., Xiong, J., Hardy, G., 1994

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EXISTENCE OF SOLUTION OF THE DIRICHLET PROBLEM FOR THE HEAT-CONDUCTION EQUATION WITH GENERAL STOCHASTIC MEASURE

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