OSCILLATION AND NON-OSCILLATION CRITERIA FOR A NEUTRAL DELAY DIFFERENCE EQUATION OF FIRST ORDER

Radhanath Rath; Subhendu Kumar Rath

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OSCILLATION AND NON-OSCILLATION CRITERIA FOR A NEUTRAL DELAY DIFFERENCE EQUATION OF FIRST ORDER

机译：一阶中性时滞差分方程的振动性和非振动性准则

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In this paper, necessary and sufficient condition are obtained so that every bounded solution of Δ(yn - yn-k) + qnG(yσ(n)) = 0rnis oscillatory, under a condition weaker than Σ_(n=mo)~∞ qn = ∞.

机译：在本文中，获得了充要条件，使得在小于Σ_（n = mo）〜∞qn的条件下，每个有界解Δ（yn-yn-k）+ qnG（yσ（n））= 0rnis振荡=∞。

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来源
《Fasciculi mathematici》 |2009年第42期|109-120|共12页
作者
Radhanath Rath; Subhendu Kumar Rath;
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作者单位

Department of Mathematics V.S.S. University of Technology Burla, Sambalpur, 768018, Orissa, India;

Department of Mathematics Gandhi Eng. College Bhubaneswar, Orissa, India;

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原文格式 PDF
正文语种 eng
中图分类
关键词
oscillatory solution; nonoscillatory solution; asymptotic behaviour; difference equation;

机译：振荡解非振荡解决方案渐近行为差分方程;

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1. OSCILLATION AND NON-OSCILLATION OF NEUTRAL DIFFERENCE EQUATIONS OF FIRST ORDER WITH POSITIVE AND NEGATIVE COEFFICIENTS [J] . Radhanath Rath, Laxmi N. Padhy, Niyati Misra Fasciculi mathematici . 2007,第37期

机译：一阶带有正负系数的中立型微分方程的振动性和非振动性
2. Oscillation and non-oscillation criteria for linear and half-linear difference equations [J] . Petr Hasil, Michal Vesely Journal of Mathematical Analysis and Applications . 2017,第1期

机译：线性和半线性差分方程的振动和非振荡标准
3. OSCILLATION CRITERIA OF SECOND-ORDER QUASI-LINEAR NEUTRAL DELAY DIFFERENCE EQUATIONS [J] . E. Thandapani, S. Pandian, T. Revathi Serdica mathematical journal . 2010,第3期

机译：二阶拟线性中立型时滞差分方程的振动准则。
4. OSCILLATION CRITERIA FOR ODD-ORDER DELAYED DIFFERENCE EQUATIONS [C] . Shuang LU, rnHengjing BA, rnYingzi YANG Annals of Differential Equations . 2007

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5. INTEGRAL INEQUALITIES RELATED TO NON-OSCILLATION THEOREMS FOR DIFFERENTIAL EQUATIONS [D] . HOLT, JOHN MELVIN -1

机译：与微分方程非振动定理有关的积分不等式
6. Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions [O] . Ravi P. Agarwal, Omar Bazighifan, Maria Alessandra Ragusa 2021

机译：四阶的非线性中性延迟微分方程：解决方案振荡
7. Oscillation criteria of third-order nonlinear neutral delay difference equations with noncanonical operators [O] . G. Ayyappan, G.E. Chatzarakis, T. Gopal, 2021

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OSCILLATION AND NON-OSCILLATION CRITERIA FOR A NEUTRAL DELAY DIFFERENCE EQUATION OF FIRST ORDER

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