…Differential equations generally have an infinite number of solutions, but one solution can be specified by imposing certain conditions on the solution or on the value of its derivative on the boundary of the defined domain. These conditions are called boundary conditions, and finding a solution that satisfies the boundary conditions is called a boundary value problem. This is a problem that often appears in connection with many physical problems, such as vibration theory and potential theory. … *Some explanations of terms that refer to the "boundary value problem" are listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…微分方程式は一般に無数の解をもつが,その定義されている領域の境界上で解,あるいはそれの導関数の値に対して何等かの条件を課すことによって,一つの解を指定することができる。この条件を境界条件,境界条件を満たす解を求めることを境界値問題boundary value problemという。これは振動論,ポテンシャル論など,多くの物理的な問題に関連してしばしば現れる問題である。… ※「boundary value problem」について言及している用語解説の一部を掲載しています。 出典|株式会社平凡社世界大百科事典 第2版について | 情報 |
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