Higher-order corrections and nonlinear coupling
Higher Order Corrections in Perturbative 1 Quantum Chromo Dynamics
... W.L. van Neerven 2 Instituut-Lorentz, Universiteit Leiden, PO Box 9506, 2300 RA Leiden, The Netherlands. Abstract We present some techniques which have been developed recently or in the recent past to compute Feynman ...
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Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
... strong coupling expansion of anomalous dimension of higher twist SL(2) sector operators of the form TrD S Z J ...analytic” corrections related to non-trivial 1-loop phase in the corresponding Bethe ...
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ATTRACTIVITY OF A HIGHER ORDER NONLINEAR DIFFERENCE EQUATION
... A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories International Journal in IT and Engineering http://www.ijmr.net.in email id- ...
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Existence of positive solutions of higher order nonlinear neutral equations
... In order to prove that SA is relatively compact, it suffices to show that the family of functions { Sx : x ∈ A } is uniformly bounded and equicontinuous on [t , ...
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Solvability of a Higher Order Nonlinear Neutral Delay Difference Equation
... Copyright q 2010 M. Liu and Z. Guo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the ...
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Positive Decreasing Solutions of Higher Order Nonlinear Difference Equations
... Lemma 2.3. Suppose 2.2 and 2.3 hold. Let x be a positive, monotone decreasing solution of 2.1 . Then there exists α ∈ 0, 1 such that α ≤ xn 1 xn ≤ 1, n ∈ Z . 2.25 Proof. The second inequality in 2.25 follows from the ...
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Oscillation of higher order nonlinear dynamic equations on time scales
... known and have been investigated extensively in the literature. In Section 4, we estab- lish new oscillation criteria for Equation (1.1) when ξ(t) = t for linear, sublinear, and superlinear cases. Further results are ...
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Nonlinear higher order abiotic interactions explain riverine biodiversity
... 2018 Nonlinear higher order abiotic interactions explain riverine biodiversity Ryo, Masahiro ; Harvey, Eric ; Robinson, Christopher T ; Altermatt, Florian Abstract: Aim: Theory and experiments ...
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Oscillation and Asymptotic Behavior of Higher Order Nonlinear Differential Equations
... The aim of this paper is to offer a generalization of the Philos and Staikos lemma. As a possible application of the lemma in the oscillation theory, we study the asymptotic properties and oscillation of the nth ...
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CONTRIBUTION OF HIGHER ORDER TERMS TO THE NONLINEAR SHALLOW WATER WAVES
... weakly nonlinear waves in shallow water and obtained the gov- erning evolution equations of various order terms in the perturbation ...th order term in the perturbation ...
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Corrections to ''Further Improving Efficiency of Higher-Order Masking Schemes by Decreasing Randomness Complexity''
... I. I NTRODUCTION M ASKING is the most widely deployed countermeasure against the Side-Channel Attack (SCA). In the scope of higher-order masking, randomness reduction is a crucial and tough task. Recently ...
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Asymptotic dichotomy in a class of higher order nonlinear delay differential equations
... There are many excellent works studying the oscillations and asymptotic behaviors of solutions to higher-order nonlinear delay differential equations, to list all of which is al- most impossible. We ...
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Nonoscillatory solutions for higher order nonlinear neutral delay differential equations
... proved bounded oscillation and nonoscillation criteria and the existence of an un- bounded positive solution for (.), where n is an even integer, α ≥ , τ > , σ > , c, q ∈ C([t , + ∞ ), R + ). Zhou and Zhang [] ...
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Nonlinear Control Design Techniques Via Higher Order Lyapunov Functions.
... second order ones studied ...increased coupling and regional constraints will create a heavy computational burden that are extremely hard, if not impossible, to be handled by most of the main stream ...
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Higher Order WHEP Solutions of Quadratic Nonlinear Stochastic Oscillatory Equation
... According to [3], the solution of stochastic partial dif- ferential equations (SPDEs) using Wiener-Hermite ex- pansion (WHE) has the advantage of converting the problem to a system of deterministic equations that can be ...
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Higher order approximate periodic solutions for nonlinear oscillators with the Hamiltonian approach
... Nonlinear oscillator with discontinuity a b s t r a c t In this work, the Hamiltonian approach is applied to obtain the natural frequency of the Duffing oscillator, the nonlinear oscillator with ...
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7. On solutions of a system of higher-order nonlinear fractional differential equations
... of higher-order nonlinear fractional differential equa- tions is studied in this article, and some sufficient conditions for existence and uniqueness of a solution for the system is established by the ...
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Analysis of patch test consistent atomistic to continuum coupling with higher order finite elements
... That is, increasing to p > 2 will not improve the rate of convergence, but increase the computational cost and algorithmic complexity. Numerically, we observe that the improvement of P2-GR23 over P1-GR23 is only modest ...
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Existence of Random Attractor Family for a Class of Nonlinear Higher Order Kirchhoff Equations
... Guoguang Lin * , Changqing Zhu School of Mathematics and Statistics, Yunnan University, Kunming, China Abstract The existence of random attractor family for a class of nonlinear nonlocal higher-order ...
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A higher order method for nonlinear singular two point boundary value problems
... of nonlinear singular two-point boundary value problems. The order of convergence of the method for such a general class of problems is higher than the previous reported ...fourth- order ...
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