Linear and second-order Stokes theory
A linearization method in oscillation theory of half linear second order differential equations
... HALF-LINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS OND ˇREJ DOˇSL ´Y AND SIM ´ ON PE ˜ NA Received 22 December 2003 Using inequalities for a certain function appearing in the half-linear version ...
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A second-order theory for NL
... The two most prominent approaches to complexity from logical perspective are descriptive complexity (finite model theory) and bounded arithmetic; the latter is closely related to proof complexity. There has been ...
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Second Order Linear Differential Equations
... y α t β . In a course at this level, variations of the Euler equation most frequently appear as examples and exercises in lectures about reduction of order. In this context we have seen a few of them in the ...
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Second Order Linear Differential Equations
... Springs Suppose that we place a mass m on the end of a vertically hanging spring, and then set it in motion; how can we describe the subsequent motion? As we have seen in section 5.4, the spring is subject to a restoring ...
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SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS
... Thus, is a solution of Equation 2. The other fact we need is given by the following theorem, which is proved in more advanced courses. It says that the general solution is a linear combination of two linearly ...
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On the stability of linear differential equations of second order
... first-order linear differential equations y 0 (t) + g(t)y(t) = 0, where g(t) is a continuous function, while Jung [12] proved the Hyers-Ulam stability of differential equations of the form ϕ(t)y 0 (t) = ...
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Analytical analysis of second order stokes wave in brillouin ring fiber laser
... of Stokes signal power can be ...the second-order Stokes wave must be considered in our developed ...the second-order SBS threshold power, the optimum BP and output powers are ...
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Index theory for second order linear Hamiltonian systems with L^1 coefficient matrix satisfying gene
... index theory for second order linear Hamiltonian sys- tems with L 1 coefficient matrix satisfying generalized periodic boundary value ...asymptotically linear second-order ...
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Decoupling of second-order linear systems by isospectral transformation
... real second-order linear dynamical systems that admit real diagonal forms with the same eigenvalues and partial ...independent second-, first-, and zeroth-order ...a ...
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Development of a wave-current numerical model using Stokes 2nd Order Theory
... The ANSYS CFX solver uses an implicit solution method and so it is recommended by [32] to resolve the physical timescales in the model by using a time step to control the simulation. It is not recommended to adopt the ...
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Existence of a unique bounded solution to a linear second order difference equation and the linear first order difference equation
... of theory of linear difference equations and the Banach fixed point ...using theory of solvability of difference ...a linear first-order difference equation is ...the linear ...
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A Second Order Eigen Theory for Static Electromagnetic Fields
... of order 2, several novel theoretical results were obtained: The classical potential functions of order 1 can be expressed by the new potential functions of order 2, the electric or magnetic ...
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From second order Analysis to subsystems of set theory
... 3.6 Infinitary logic for inductive definitions Buchholz’ Ω–rule, which I will not write down here, can be regarded as an intro- duction of higher constructive derivation classes analogous to the introduction of higher ...
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Superquantile/CVaR Risk Measures: Second-Order Theory
... to second- order superquantiles. Measures of risk based on second-order superquantiles have recently been explored in some settings, but key parts of the theory have been lacking: ...
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Transfinite type theory and provability of second order formulas
... type theory of finite type, are introduced as primitive ...An order, which is defined as a finite sequence of indices, represents a limit ordinal in the same way in which a finite sequence $\langle m_{0}, ...
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Towards unifying second-order theory of likelihoods and pseudolikelihoods
... Pseudolikelihood; Second- order ...the second-order behaviour have been ...between second-order theory for pseudolikelihoods and ...that second-order ...
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On decreasing solutions of second order nearly linear differential equations
... the theory of regular ...existing linear results; and second, as an analysis of the border case in the sense of the above described sub-linear and super-linear setting in (), where, in ...
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Growth and oscillation related to a second order linear differential equation
... 1 Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem (UMAB), B. P. 227 Mostaganem, Algeria Received March 16, 2012; accepted January 26, 2013 Abstract. This paper is devoted ...
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Fast FSR Methods for Second-Order Linear Regression Models
... Interactions are often much harder to detect than main effects in regression mod- eling. Multicollinearity, measurement error, the numerous forms interactions can take, and lack of power for detection are all problems ...
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On homogeneous second order linear general quantum difference equations
... a 0 (t) = 0, in a neighborhood of the unique fixed point s 0 of the strictly increasing continuous function β , defined on an interval I ⊆ R. These equations are based on the general quantum difference operator D β , which ...
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