具广义周期边界条件之含第一类界参数抽象动力方程边值问题的积分算子求解法

数学季刊 ›› 2010, Vol. 25 ›› Issue (1): 110-117.

具广义周期边界条件之含第一类界参数抽象动力方程边值问题的积分算子求解法

Science Technology College, Nanchang University

收稿日期:2007-04-01 出版日期:2010-03-30 发布日期:2023-06-12
作者简介:YU De-jian(1942-), male, native of Nanchang, Jiangxi, a professor of Nanchang University, engages in transport theory.

Integral Operator Solving Process of the Boundary Value Problem of Abstract Kinetic Equation with the First Kind of Critical Parameter and Generalized Periodic Boundary Conditions

Science Technology College, Nanchang University

Received:2007-04-01 Online:2010-03-30 Published:2023-06-12
About author:YU De-jian(1942-), male, native of Nanchang, Jiangxi, a professor of Nanchang University, engages in transport theory.

摘要/Abstract

摘要： In this paper the concepts of the boundary value problem of abstract kinetic equation with the first kind of critical parameter λ = 0 and generalized periodic boundary conditions are introduced in a Lebesgue space which consists of functions with vector valued in a general Banach space, and then describe the solution of these abstract boundary value problem by the abstract linear integral operator of Volterra type. We call this process the integral operator solving process.

关键词: abstract kinetic equation with the first kind of critical parameter, boundary
value problem of abstract kinetic equation, generalized periodic boundary conditions, abstract linear integral operator of Volterra type, integral operator solving process

Abstract: In this paper the concepts of the boundary value problem of abstract kinetic equation with the first kind of critical parameter λ = 0 and generalized periodic boundary conditions are introduced in a Lebesgue space which consists of functions with vector valued in a general Banach space, and then describe the solution of these abstract boundary value problem by the abstract linear integral operator of Volterra type. We call this process the integral operator solving process.

Key words: abstract kinetic equation with the first kind of critical parameter, boundary
value problem of abstract kinetic equation, generalized periodic boundary conditions, abstract linear integral operator of Volterra type, integral operator solving process

中图分类号:

O175.8

喻德坚. 具广义周期边界条件之含第一类界参数抽象动力方程边值问题的积分算子求解法[J]. 数学季刊, 2010, 25(1): 110-117.

YU De-jian. Integral Operator Solving Process of the Boundary Value Problem of Abstract Kinetic Equation with the First Kind of Critical Parameter and Generalized Periodic Boundary Conditions[J]. Chinese Quarterly Journal of Mathematics, 2010, 25(1): 110-117.

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