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Combinatorial resolution of systems of differential equations. IV. separation of variables

✍ Scribed by Pierre Leroux; Gérard X. Viennot

Book ID
103059460
Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
714 KB
Volume
72
Category
Article
ISSN
0012-365X

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✦ Synopsis

In the context of the combinatorial theory of ordinary differential equations recently introduced by the authors, a concrete interpretation is given to the classical method of separation of variables. This approach is then extended to more general equations and applied to systems of differential equations with forcing terms.

* Partially supported by grants NSERC A5660 (Canada) and FCAR EQ 1608 (Quebec).

📜 SIMILAR VOLUMES

Uniqueness of solutions for systems of s
Uniqueness of solutions for systems of separated variable coefficient partial differential equations
✍ L. Jódar; D. Goberna 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 215 KB

In this paper, the uniqueness of solutions for systems of the type w~ = K(z, t)w=z, 0 < x < p, t > 0, subject to w(0, t) = ~(p, t) and w(z, O) = F(z) is studied. Here w and F are vectors and K(z, t) = P(x)Q(t), where P(z) and Q(t) are square real matrices satisfying some additional properties.