𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic Theory for a General Fourth - Order Differential Equation

✍ Scribed by A. S. A. Al-Hammadi


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
364 KB
Volume
199
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

An asymptotic theory is developed for a general fourth‐order differential equation. The theory is applied with large coefficients. The forms of the asymptotic solutions are given under general conditions on the coefficients.


πŸ“œ SIMILAR VOLUMES


The generalized differential quadrature
✍ T. Y. Wu; G. R. Liu πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 146 KB

## 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 __Ξ΄__‐point technique by applying multiple conditions in a rigorous manner. The GDQR is used

Oscillation criteria for fourth-order di
✍ Jamel Ben Amara πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 85 KB

## Abstract Oscillation criteria for self‐adjoint fourth‐order differential equations were established for various conditions on the coefficients __r__(__x__) > 0, __q__(__x__) and __p__(__x__). However, most of these results deal with the case when lim~__x__ β†’ ∞~∫^__x__^~1~__q__(__s__) __ds__ < +

A NEW APPROACH TO THE DIFFERENTIAL QUADR
✍ WEILONG CHEN; ALFRED G. STRIZ; CHARLES W. BERT πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 258 KB πŸ‘ 3 views

A generalized and more complete methodology for treating boundary conditions in the Differential Quadrature Method (DQM) is presented. This improved approach eliminates the deficiencies of the -type grid arrangement, which represents an approximation, by applying the boundary conditions exactly. Two