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Singular Solution
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AJLNKVR8D84
Geliefert zwischen Mi., 14.01.2026 und Do., 15.01.2026
Details
High Quality Content by WIKIPEDIA articles! A singular solution ys(x) of an ordinary differential equation is a solution that is singular or one for which the initial value problem (also called the Cauchy problem by some authors) fails to have a unique solution at some point on the solution. The set on which a solution is singular maybe as small as a single point or as large as the full real line. Solutions which are singular in the sense that the initial value problem fails to have a unique solution need not be singular functions. In some cases, the term singular solution is used to mean a solution at which there is a failure of uniqueness to the initial value problem at every point on the curve. A singular solution in this stronger sense is often given as tangent to every solution from a family of solutions. By tangent we mean that there is a point x where ys(x) = yc(x) and y's(x) = y'c(x) where yc is a solution in a family of solutions parameterized by c. This means that the singular solution is the envelope of the family of solutions.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131190780
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- EAN 9786131190780
- Format Fachbuch
- Titel Singular Solution
- Herausgeber Betascript Publishing
- Anzahl Seiten 156
- Genre Mathematik
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