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

[21] Exponential solutions of equation y(t)=β(t)[y(t-δ)-y(t-τ)]
Diblík, J
Ruzicková, M
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 294 (01) : 273 - 287
[22] On the solutions of differential equation ε2(a2(t)y′)′ plus p(t)f(y)=0 with arbitrarily large zero number
Vrábel, R
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2004, 6 (02) : 139 - 146
[23] Asymptotic representation of solutions of equation y(t) = β(t)[y(t)-y(t-τ(t))]
Diblik, Josef
Journal of Mathematical Analysis and Applications, 1998, 217 (01):
[24] ASYMPTOTIC REPRESENTATIONS OF SOLUTIONS OF THE DIFFERENTIAL EQUATION y(n) = α0p(t) Πi=0n-1 φi (y(i))
Bilozerowa, M. A.
Evtukhov, V. M.
MISKOLC MATHEMATICAL NOTES, 2012, 13 (02) : 249 - 270
[25] L2 SOLUTIONS TO Y''+C(T)Y'+A(T)B(Y) =0
KROOPNICK, A
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 39 (01) : 217 - 218
[26] 121 PERIODICITY OF DISTANCE OF ZEROS OF INTEGRALS IN DIFFERENTIAL EQUATION Y'' =Q(T)Y
BORUVKA, O
TENSOR, 1972, 26 : 121 - 128
[27] The Structure of Solutions of the Matrix Equation Jn(0)Y + Y ⏉ Jn(0) = 0 for Even n
Ikramov K.D.
Journal of Mathematical Sciences, 2021, 255 (3) : 277 - 278
[28] UNBOUNDED SOLUTIONS OF Y + G(Y)=P(T)
LITTLEWOOD, JE
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 1966, 41 (163P): : 491 - +
[29] A STABILITY CONDITION FOR DIFFERENTIAL EQUATION Y'' + P(X)Y = 0
LAZER, AC
MICHIGAN MATHEMATICAL JOURNAL, 1965, 12 (02) : 193 - &
[30] Convergence of the solutions of the equation y(t)=β(t)[y(t-δ)-y(t-τ)] in the critical case
Diblik, Josef
Ruzickova, Miroslava
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 331 (02) : 1361 - 1370

← 1 2 3 4 5 →