Generalization of the Kneser theorem on zeros of solutions of the equation y″ + p(t)y = 0

被引：0

作者：

Slyusarchuk V.Yu. ^{[1
]}

机构：

[1] National University of Water Management and Nature Resources Application,

来源：

Ukrainian Mathematical Journal | 2007年 / 59卷 / 4期

关键词：

Banach Space; Bounded Linear Operator; Nonlinear Differential Equation; Real Banach Space; Ukrainian Academy;

D O I：

10.1007/s11253-007-0043-y

中图分类号：

学科分类号：

摘要：

We establish conditions for the oscillation of solutions of the equation y″ + p(t)Ay = 0 in a Banach space, where A is a bounded linear operator and p: ℝ+ → ℝ+ is a continuous function. © 2007 Springer Science+Business Media, Inc.

引用

页码：639 / 644

页数：5

共 50 条

[1] On the zeros of solutions of the equation y(2k+1)+p(z)y=0
Muminov, GM
DIFFERENTIAL EQUATIONS, 2001, 37 (09) : 1354 - 1358
[2] ON ZEROS OF SOLUTIONS OF DIFFERENTIAL EQUATION Y(N)(Z) + P(Z)Y(Z) = 0
HADASS, R
PACIFIC JOURNAL OF MATHEMATICS, 1969, 31 (01) : 33 - &
[3] On the Zeros of Solutions of the Equation y(2k + 1) + p(z)y = 0
G. M. Muminov
Differential Equations, 2001, 37 : 1354 - 1358
[4] Strengthening of the Kneser theorem on zeros of solutions of the equation u″ + q(t)u = 0 using one functional equation
V. Yu. Slyusarchuk
Ukrainian Mathematical Journal, 2011, 62 : 1978 - 1988
[5] LOWER BOUNDS TO ZEROS OF SOLUTIONS OF Y''+P(X)Y=0
GALBRAITH, AS
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 26 (01) : 111 - +
[6] THE ZEROS OF THE SOLUTIONS OF Y(N)+P(X)Y=O EQUATION
KONDRATIEV, VA
DOKLADY AKADEMII NAUK SSSR, 1958, 120 (06): : 1180 - 1182
[7] STRENGTHENING OF THE KNESER THEOREM ON ZEROS OF SOLUTIONS OF THE EQUATION u" plus q(t)u=0 USING ONE FUNCTIONAL EQUATION
Slyusarchuk, V. Yu.
UKRAINIAN MATHEMATICAL JOURNAL, 2011, 62 (12) : 1978 - 1988
[8] A general existence theorem for the singular equation (φp(y′))′ plus f(t, y)=0
Lü, HS
O'Regan, D
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2002, 5 (01): : 69 - 78
[9] ON THE ZEROS OF THE SOLUTIONS OF Y''+P(Z)Y=0 WHERE P(Z) IS A POLYNOMIAL
SHEN, LC
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 117 (04) : 1057 - 1061
[10] ZEROS OF SOLUTIONS AND OF WRONSKIANS FOR THE DIFFERENTIAL-EQUATION LNY+P(X)Y=0
ELIAS, U
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 324 (01) : 27 - 40

← 1 2 3 4 5 →