[PDF] Top 20 Oscillation theorems for certain delay difference inequalities
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Oscillation theorems for certain delay difference inequalities
... the inequalities, ∆ m y(n) > 0, ∆ m−1 y(n) < 0, · · ·, ∆ 4 y(n) > 0, ∆ 3 y(n) < 0, for n ≥ n 0 with the property that ∆ k y(n) → 0 as n → ∞, k = 3, 4, · · · , ... See full document
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Oscillation and nonoscillation theorems for some mixed difference equations
... In this paper we study the oscillatory and nonoscillatory behavior of the solutions of certain third and fourth order difference equations.. Until recently, excepting the studies by Chen[r] ... See full document
5
Nonlinear Delay Discrete Inequalities and Their Applications to Volterra Type Difference Equations
... discrete inequalities with more than one nonlinear term are discussed, which generalize some known results and can be used in the analysis of various problems in the theory of certain classes of discrete ... See full document
14
Oscillation and Asymptotic Behaviour of Solutions of Nonlinear Two Dimensional Neutral Delay Difference Systems
... For oscillation criteria regarding Equations (1.1)-(1.3), we refer to [2]-[12] and the references cited therein. In Section 2, we present some basic lemmas. In Section 3, we establish oscillation criteria ... See full document
7
Oscillation criteria for certain third order delay dynamic equations
... the oscillation of the third-order nonlinear variable delay differential equations and the third-order nonlinear variable delay difference equations with a nonlinear neutral ...The theorems in ... See full document
16
Some oscillation theorems for second order nonlinear neutral type difference equations
... Thandapani, Oscillatory and nonoscillatory behavior of second order neutral delay difference equations, Math.. Thandapani, Oscillatory and nonoscillatory behavior of second order neutral[r] ... See full document
10
Oscillation theorems for second order nonlinear neutral difference equations
... comparison theorems for investigation of the os- cillation of equation ...the oscillation of the second order neutral difference equations to a study of the oscillation properties of various types of ... See full document
15
New Oscillation Criteria of Second Order Nonlinear Delay Dynamic Equations on Time Scales
... new oscillation criteria for the second-order nonlinear delay dynamic equations on time ...the oscillation of the second-order nonlinear delay differential equation and the second-order ... See full document
11
Oscillation Theorems for a Second Order Delay Difference Equations
... determining oscillation theorem for second order nonlinear difference equation has been the subject of investigation in ...linear difference equations of second order have been ... See full document
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On certain inequalities and their applications in the oscillation theory
... essentially contributed to the subject and presented a very useful comparison technique for studying the properties of a delay differential equation from those of a differential equa- tion without delay. A ... See full document
8
Oscillation criteria for certain second order Emden Fowler delay functional dynamic equations with damping on time scales
... neutral delay dynamic equations on time scales, see ...for oscillation of ...nonlinear delay dynamic equation (.), setting out to obtain some new oscillation criteria which improve the ... See full document
16
On Properties of Third Order Differential Equations via Comparison Principles
... comparison theorems that permit to study properties of E via properties of the second-order differential equations, in the sense that the oscillation of the second-order equations yields desired properties ... See full document
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4. Oscillation Criteria for a Class of Second Order Nonlinear Differential Equations with Damping
... In the last decades, there has been an increasing interest in obtaining sufficient conditions for the oscillation of solutions for different classes of second order dif- ferential equations. Especially, by using ... See full document
11
Some common fixed point theorems in cone metric spaces
... Huang and Zhang [1]generalized the concept of metric space, replacing the set of real num- bers by an ordered Banach space and obtained some fixed point theorems for mappings satisfy- ing different contractive ... See full document
13
New oscillation theorems for second order quasi linear difference equations with sub linear neutral term
... In this paper, by using a Riccati type transformation and the discrete mean value theorem we have established some new oscillation criteria for more general second order neutral difference equations. The obtained ... See full document
10
Oscillatory behavior of solutions of third order delay and advanced dynamic equations
... In this paper, we consider oscillation criteria for certain third-order delay and advanced dynamic equations on unbounded time scales. A time scale T is a nonempty closed subset of the real numbers. ... See full document
16
Oscillation criteria for third order neutral difference equations with distributed delay
... In Section 2, we present some preliminary lemmas and in Section 3, we establish some sufficient conditions which ensure that all solutions of equation (1.1) are either oscillatory or con[r] ... See full document
10
Oscillation and nonoscillation in nonlinear third order difference equations
... SZMANDA, B., Oscillation Theorems for Nonlinear Second-order Difference Equations, J.. Li, Z.H., A Note on the Oscillatory Property for Nonlinear Difference Equations and Differentlal Eq[r] ... See full document
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2. Oscillation of a Class of Second Order Neutral Difference Equations with Delays
... forward difference operator defined by ∆x(n) = x(n + 1) − x(n), γ > 0 is a quotient of odd positive integers, {p(n)} is a positive real sequence, {q(n)} and {h(n)} are nonnegative real sequences, τ and σ are ... See full document
9
Oscillation of nonlinear delay difference equations
... We obtain some oscillation criteria for solutions of the nonlinear delay differ αj ence equation of the form xn+1 − xn + pn m j=1 xn−k = 0.. 2000 Mathematics Subject Classification.[r] ... See full document
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