1) Sturm comparison theorem Sturm比较定理1. Sturm comparison theorems of solutions for second order nonlinear differential equations; 二阶非线性微分方程解的Sturm比较定理2. Some differential inequalities are established, and the oscillation for the second order neutral nonlinear differential equations are ...
In this work, we continue with the study of zeros of these polynomials by giving a comparison theorem of Sturm type. As an application, we analyze in a simple way some relations between the zeros of certain classical discrete orthogonal polynomials....
Sturm Comparison Theorem of Solution for the Third Order Homogeneous Linear Differential Equations 三阶线性齐次微分方程解的Sturm比较定理 2. The Matrix Description of Polynomial Sturm Theorem; 关于多项式Sturm定理的矩阵描述 3. Existence theorem of positive solution to a nonlinear Sturm-Liouville problem...
摘要: Using differential inequality,the Sturm comparison theorem of a class of third order nonlinear differential equations is discussed,and the zero point existence of the equations is obtained.%利用微分不等式,讨论了一类3阶非线性微分方程解的Sturm比较定理,得到了其解的零点存在的充分性条件.关键词:...
1.4 Sturm's Comparison Theorem and Prufer Transformation 19 Chapter 2 Di.erentiable Manifolds and Lie Groups 31 2.1 Differentiable Manifolds 31 2.2 Differentiable Maps and Tangent Vectors 41 2.3 Complex Manifolds 45 2.4 Lie Groups 48 Chapter 3 Geometric Structures on Spaces of Boundary ...
A Sturm comparison theorem for some degenerate quasilinear elliptic operators The author shows that the classical Sturm comparison theorem is valid for generalized solutions (belonging to C 1 ) of a certain pair of degenerate quasilinear elliptic operators. DR Dunninger - 《Bollettino Della Unione Ma...
3 Eigen-functions are real and twice differentiable Moreover we have implemented (Scaled) Prufer equation with Forward Euler Method (not stable, but it can be used so far) * Sturm’s Comparison [1] Theorem (Sturm’s first Comparison theorem): let be eigen-pair of Sturm-Liouville problem. ...
Sturm-Liouville Theory || Sturm Oscillation and Comparison Theorems The article reviews the book "Sturm-Liouville Theory: Past and Present," edited by Werner O. Amrein, Andreas M. Hinz and David B. Pearson. WO Amrein,AM Hinz,DP Pearson 被引量: 0发表: 2005年 Sturm Oscillation and Compariso...
Sturm's oscillation theorem provides upper and lower bounds for the phase velocity for a given stratification, a given wave-number, and a given number of zeros of the eigenfunction (or a given number of stationary surfaces in the ... CS Yih - 《Journal of Fluid Mechanics》 被引量: 36发表...