A Comparison Theorem for Higher Order Elliptic Differential Equations
β Scribed by Lynne C. Wright
- Publisher
- John Wiley and Sons
- Year
- 1980
- Tongue
- English
- Weight
- 173 KB
- Volume
- 98
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
Utilizing the quadratic functional criteria and positive functionals, the author develops a comparison theorem for oscillation of partial differential equations. This result parallels a comparison of the oscillation of scalar ordinary differential equations to oscillation of vectorβmatrix differential equations established by LEWIS and WRIGHT.
We want to look at the matrix partial differential equation.
π SIMILAR VOLUMES
## Abstract Our aim in this paper is to obtain the comparison principles which extend those of Grace and LALLI. The equations. L~n~u(t)Β±f(t, u[g(t)]= 0 are compared with the equations. M~n~u(t)Β±z(t)h([Ο(t)])= 0.
## Abstract In this paper we prove an existence result of positive periodic solutions to second order differential equations with certain strong repulsive singularities near the origin and with some semilinear growth near infinity. Different from the nonsingular case, the result in this paper shows
HILBERT space L,(D) where the coefficients always fulfil the following conditions. ## i) ii) a@), q(z) E Cl(l2) and real-valued, a&) = a@), x E D, ( 7) Denoting the domain of the FRIEDRICHS extension A by D(A) we have W ) r H A . 5 mR"). 1) W#W) is the completion of Com(Rn) in the norm Ilullw&BT8