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oscillation of solutions.

On the oscillation of solutions for a class of second order nonlinear stochastic difference equations

On the oscillation of solutions for a class of second order nonlinear stochastic difference equations

... In this paper, we investigate the asymptotical behavior for a partial sum sequence of independent random variables, and we derive a law of the iterated logarithm type. It is worth to point out that the partial sum ...

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Forced Oscillation of Solutions of a Fractional Neutral Partial Functional Differential Equation

Forced Oscillation of Solutions of a Fractional Neutral Partial Functional Differential Equation

... Forced Oscillation of Solutions of a Fractional Neutral Partial Functional Differential Equation V.. Kavitha* Post Graduate and Research Department of Mathematics, Thiruvalluvar Governme[r] ...

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Oscillation of solutions of impulsive neutral difference equations with continuous variable

Oscillation of solutions of impulsive neutral difference equations with continuous variable

... OSCILLATION OF SOLUTIONS OF IMPULSIVE NEUTRAL DIFFERENCE EQUATIONS WITH CONTINUOUS VARIABLE GENGPING WEI AND JIANHUA SHEN Received 21 June 2005; Revised 1 April 2006; Accepted 25 April 2[r] ...

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Oscillation of solutions of some generalized nonlinear α difference equations

Oscillation of solutions of some generalized nonlinear α difference equations

... – , many interesting results and applications in number theory (see [–]) were obtained. By extending the study related to the sequences of complex numbers and being real, some new qualitative properties of the ...

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Oscillation of solutions for certain fractional partial differential equations

Oscillation of solutions for certain fractional partial differential equations

... In recent years, the research on the oscillatory behavior of solutions of fractional differ- ential equation has been a hot topic and some results have been established. For example, see [–]. However, to the ...

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Oscillation of Solutions of a Linear Second Order Discrete Delayed Equation

Oscillation of Solutions of a Linear Second Order Discrete Delayed Equation

... In this part, we give sufficient conditions for all solutions of 1.1 to be oscillatory as n → ∞. Theorem 2.1. Let a ∈ N be sufficiently large, q ∈ N, and κ > 1. Assuming that the function p : Z ∞ a → R satisfies ...

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Oscillation of Higher Order Neutral Type Periodic Differential Equations with Distributed Arguments

Oscillation of Higher Order Neutral Type Periodic Differential Equations with Distributed Arguments

... some oscillation criteria for solutions of ...the oscillation of solutions of ...positive solutions of some nonneutral di ff erential ...concrete oscillation criteria for ...

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Asymptotic behavior of a third order nonlinear neutral delay differential equation

Asymptotic behavior of a third order nonlinear neutral delay differential equation

... the oscillation of solutions to different functional differential equations, for some related contributions, we refer the reader to [–] and the references cited ...

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Comparison theorems for fourth order differential equations

Comparison theorems for fourth order differential equations

... On the Oscillation of Solutions of a Class of Linear Fourth Order Differential Equations, Pacific J.. An Ordering of Oscillation Types for Anal.[r] ...

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Oscillation in neutral equations with an “integrally small” coefficient

Oscillation in neutral equations with an “integrally small” coefficient

... YU YUAN--HONG, Oscillation of solutions of neutral delay differential equations,Acta.. On the existence of positive solutions of neutral delay differential equations,Scientia Sinica Seri[r] ...

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Regularity theory on A harmonic system and A Dirac system

Regularity theory on A harmonic system and A Dirac system

... that solutions to an A-harmonic system satisfying a Lipschitz condition or in the case of a bounded mean oscillation can be extended to Clifford valued solutions to the corresponding A-Dirac sys- ...

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PC symmetry protected edge states in interacting driven dissipative bosonic systems

PC symmetry protected edge states in interacting driven dissipative bosonic systems

... dynamical solutions display a number of characteristic features, among which are their finite amplitude at onset, their arbitrary long oscillation period close to threshold, and the symmetry of their ...

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Oscillations of Third Order Half Linear Neutral Differential Equations

Hussain A. Mohamad |Layla M. Shehab

Oscillations of Third Order Half Linear Neutral Differential Equations Hussain A. Mohamad |Layla M. Shehab

... of oscillation theory for solution of half linear neutral differential equations has been recently considered the attention of many researches for the last several years, see ...

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Forced oscillation for solutions of boundary value problems of fractional partial difference equations

Forced oscillation for solutions of boundary value problems of fractional partial difference equations

... the oscillation theory as a part of the qualitative theory of fractional dif- ferential equations and fractional difference equations has been ...the oscillation of fractional partial differential equations ...

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New Results on the Nonoscillation of Solutions of Some Nonlinear Differential Equations of Third Order

New Results on the Nonoscillation of Solutions of Some Nonlinear Differential Equations of Third Order

... all solutions of nonlinear functional differential ...for oscillation of all solutions of the second-order forced differential equation of the ...

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Oscillation and nonoscillation theorems for a class of even order quasilinear functional differential equations

Oscillation and nonoscillation theorems for a class of even order quasilinear functional differential equations

... of solutions of ...nonoscillatory solutions of (A) according to their asymptotic behavior as t → ∞ ...positive solutions of (A), since if y(t) is a solution of (A), then so is − ...positive ...

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Oscillation and nonoscillation properties for a kind of nonlinear neutral impulsive delay differential systems

Oscillation and nonoscillation properties for a kind of nonlinear neutral impulsive delay differential systems

... of solutions of various classes of functional differential equations of neutral type (see for ...the oscillation and nonoscillation properties of solutions of a class of nonlinear neutral first order ...

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Oscillation criteria for nonlinear functional differential equations of neutral type

Oscillation criteria for nonlinear functional differential equations of neutral type

... G: Oscillation Theory of Delay Differential Equations with ...B: Oscillation of first order delay differential ...BG: Oscillation Theory for Functional Differential ...EM: Oscillation of first ...

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Asymptotic dichotomy in a class of higher order nonlinear delay differential equations

Asymptotic dichotomy in a class of higher order nonlinear delay differential equations

... its solutions are oscillatory. For solutions of some nonlinear delay differential equations, some interesting phenomena will ...some solutions are oscillatory, while there may exist some other ...

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Wronskians and subspaces of certain fourth order differential equations

Wronskians and subspaces of certain fourth order differential equations

... The objectives of the paper are to study the behavior of Wronskians of solutions of L and L*, and to relate this behavior with the oscillation of L and L*, as well as to the structure of[r] ...

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