Generalized Esclangon–Landau Conditions for Differential–Difference Equations
✍ Scribed by Bolis Basit; Hans Günzler
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 337 KB
- Volume
- 221
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
In this paper we prove that generalized Carathbdory's conditions (so called (G) ronditions) imply wellknown general conditions which guarantee existence and some properties of Nolutions of the Cauchy problem, in the Carathhdory sense, .B e. g. continuous dependence on initial ronditions.
The generalized di!erential quadrature rule (GDQR) proposed recently by the authors is applied here to solve initial-value di!erential equations of the 2nd to 4th order. Di!erential quadrature expressions are derived based on the GDQR for these equations. The Hermite interpolation functions are used
## Abstract The generalized differential quadrature rule (GDQR) proposed here is aimed at solving high‐order differential equations. The improved approach is completely exempted from the use of the existing __δ__‐point technique by applying multiple conditions in a rigorous manner. The GDQR is used