๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Multiplicity of the solutions of a differential polynomial

โœ Scribed by Jose-Miguel Farto

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
794 KB
Volume
108
Category
Article
ISSN
0022-4049

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Multiplicity of positive solutions of a
Multiplicity of positive solutions of a class of nonlinear fractional differential equations
โœ Jian-Ping Sun; Ya-Hong Zhao ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 337 KB

This paper is concerned with the nonlinear fractional differential equation where L(D) = D ~ -a~\_lD s,~-1 ..... aiD ~1, 0 < sl < s2 < ... < s~ < 1, and aj > 0, j = 1,2,... ,n-1. Some results are obtained for the existence, nonexistence, and multiplicity of positive solutions of the above equation

Symmetrizability of differential equatio
Symmetrizability of differential equations having orthogonal polynomial solutions
โœ K.H. Kwon; G.J. Yoon ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 568 KB

We show that if a linear differential equation of spectral type with polynomial coefficients has an orthogonal polynomial system of solutions, then the differential operator LN['] must be symmetrizable. We also give a few applications of this result.

Multiplicity of solutions of second-orde
Multiplicity of solutions of second-order linear differential equations on networks
โœ JosรฉA. Lubary ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 822 KB

An upper optimal bound is obtained for the multiplicity of solutions of secondorder linear differential equations on networks with general boundary and node conditions. This bound depends only on the abstract-topological associated graph. In particular, the result holds for the multiplicity of eigen