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Abstract <p>A stochastic model of the growth of household (family) savings is considered. Conditions are identified such that there exists a solution to the mixed parabolic problem for the distribution density of households in terms of savings. Using Laguerre polynomials, a solution is constructed explicitly in the form of a functional series for an initial boundary value problem with a nonlocal boundary condition. An economic interpretation of this nonlocal condition is outlined.</p>

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Modeling the Growth of Household Savings with a Nonlocal Boundary Condition

  • 期刊论文

  • 发表日期：

    2025年1月1日

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  • Yu. A. Kostikov,
  • A. M. Romanenkov,
  • V. I. Parenkina

摘要

Abstract

A stochastic model of the growth of household (family) savings is considered. Conditions are identified such that there exists a solution to the mixed parabolic problem for the distribution density of households in terms of savings. Using Laguerre polynomials, a solution is constructed explicitly in the form of a functional series for an initial boundary value problem with a nonlocal boundary condition. An economic interpretation of this nonlocal condition is outlined.